bh, where b is the base and h is the height of the parallelogram.
In the case of the circle, the base of the parallelogram is the circumference of the circle, which is equal to 2πr, where r is the radius of the circle. The height of the parallelogram is the distance from the center of the circle to the edge of the circle, which is also the radius r. Therefore, we have:
b = 2πr
h = r
Substituting these values into the formula for the area of a parallelogram, we get:
Area = bh = (2πr)(r) = 2πr^2
So the formula for the area of a circle is derived from the formula for the area of a parallelogram by using the circumference of the circle as the base and the radius of the circle as the height.
The following points represent a relation where x represents the independent variable and y represents the dependent variable.
three fourths comma negative 2, 1 comma 5, negative 2 comma negative 7, three comma negative one half, and 6 comma 6
Does the relation represent a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
Correct option is A, It is not function, because for each input there is not exactly one output.
A function is a relation between a set of inputs (the domain) and a set of possible outputs (the range), where each input is associated with exactly one output. In other words, a function is a set of ordered pairs (x, y) such that no two ordered pairs have the same first element (x-value) and different second elements (y-value).
A function can be represented in different ways, including as a table of values, as a graph, or using a formula or rule. For example, the function f(x) = 2x + 1 represents a rule where each input value x is multiplied by 2 and then 1 is added to the result to obtain the output value f(x).
Functions are important in mathematics and in many fields such as physics, engineering, and economics, where they are used to model and analyze various phenomena.
To determine whether the relation represents a function, we need to check whether for each input (x-value), there is exactly one output (y-value).
Looking at the given points, we can see that the x-values 3/4 and 3 both have more than one corresponding y-value (-2 and -1/2, respectively). Therefore, the relation does not represent a function because for each input there is not exactly one output.
The answer is: No, because for each input there is not exactly one output.
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The product of two numbers is 17,20,740. If one number is 1785,find the other number
The product of two number is 17,20,740, When one number is 1785 and other number is 39,460.
To find the other number, we can divide the product of the two numbers by the known number:
Other number = 17,20,740 ÷ 1785
We can simplify this calculation by factoring out common factors from both numbers. First, we can factor 1785 into its prime factors:
1785 = 3 x 3 x 5 x 7 x 2
Next, we can factor 17,20,740:
17,20,740 = 2^2 x 5 x 7 x 11 x 13 x 17 x 19
We can then cancel out any common factors in the numerator and denominator. In this case, we can cancel out one factor of 5, one factor of 7, and two factors of 2:
Other number = (2 x 11 x 13 x 17 x 19) ÷ (3 x 3 x 5 x 7 x 2)
Simplifying this expression further, we get:
Other number = (2 x 11 x 13 x 17 x 19) ÷ (3^2 x 5 x 7)
Other number = 39460
Therefore, the other number is 39,460.
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number whose square root and cube root are equal.
Answer:
The numbers are 0 and 1
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It takes 24 workers 3,5 hours to clean a workshop
How many workers would take 4 hours to complete the job
The workshop would need to be cleaned in 4 hours 21 workers.
How does division work?
In mathematics, division is the process of dividing a quantity into equal pieces or groups. It is used to determine how many times one number can be divided by another number because it is the inverse of multiplication.
In light of the facts provided, we can apply the following formula to determine how long a task will take to complete:
Work = Time / (rate)
Cleaning the workshop is the continual work in this situation. The rate is the amount of work completed in a given length of time. Assume that all employees work at the same rate, making the rate proportionate to the workforce.
Hence, the rate of work is: if 24 people can clean the workshop in 3.5 hours.
rate=(work)/(time)=(1 workshop)/(3.5 hours * 24 workers)=1/84 workshop per worker per hour
We now need to calculate how long it would take 10 employees to clean the workshop. Let's apply the formula once more:
Time = Work / Rate = (1 Workshop) / (10 Workers * Rate)
Using the earlier rate as a substitute, we obtain:
As a result, cleaning the workshop would require 21 people 4 hours.
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#5:
A store owner buys baseball cards in bulk. The owner
recorded the amount (y), in dollars, she paid for each
of the last 10 collections she bought based
on x thousand cards in each collection. She used that
data to calculate the line of best fit with the equation
shown below.
y=39.94x +3.84
Based on the store owner's line of best fit, what amount
should she expect to pay for a collection that has 1,500
cards?
$63.75
$59.91
$48.28
$45.70
Answer:
To use the line of best-fit equation to estimate the cost of a collection with 1,500 cards, we can substitute 1.5 (since x represents thousands of cards) for x in the equation and solve for y:
y = 39.94x + 3.84
y = 39.94(1.5) + 3.84
y = 59.91
Therefore, based on the store owner's line of best-fit equation, she should expect to pay approximately $59.91 for a collection that has 1,500 cards.
The answer is: $59.91
Step-by-step explanation:
pleasee help me fast
Therefore, the expression that can be used to determine YK is (48)tanK that is option D.
What is triangle?A triangle is a closed two-dimensional geometric shape that is formed by connecting three non-collinear points with straight line segments. Each of these line segments is called a side, and the point where two sides meet is called a vertex. A triangle has three vertices, three sides, and three angles. Triangles can be classified based on the length of their sides and the size of their angles.
Here,
In the right triangle MYK, where MY = 48 units, MK = 73 units, and angle Y = 90 degrees, we can use trigonometric functions to find the length of YK. The trigonometric functions that relate to the sides and angles of a right triangle are:
Sine: sinθ = opposite/hypotenuse
Cosine: cosθ = adjacent/hypotenuse
Tangent: tanθ = opposite/adjacent
To find YK, we need to use the tangent function because we know the opposite and adjacent sides (MY and MK). So, the correct expression to determine YK is: (48)tanK
The other expressions given are:
(73)sinK: This expression would be used to find the opposite side, not YK.
(73)cosK: This expression would be used to find the adjacent side, not YK.
(48)tanM: This expression doesn't relate to the right triangle MYK since there is no angle M in the triangle.
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the magazine mass marketing company has received 14 entries in its latest sweepstakes. they know that the probability of receiving a magazine subscription order with an entry form is 0.5 . what is the probability that less than 10 of the entry forms will include an order? round your answer to four decimal places.
The probability that less than 10 of the entry forms will include an order is 0.0193, rounded to four decimal places.
The company has received 14 entries in the sweepstakes, and they know that the probability of receiving a magazine subscription order with an entry form is 0.5. Now, we want to find the probability that less than 10 of the entry forms will include an order.
To find the probability that less than 10 of the entry forms will include an order, we need to add up the probabilities of getting 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 orders. We can use the binomial probability formula to calculate these probabilities:
P(X = x) = (n choose x) x pˣ x (1 - p)ⁿ⁻ˣ
where P(X = x) is the probability of getting x successes, n is the number of trials, p is the probability of success, and (n choose x) is the number of ways to choose x successes from n trials.
We can also use a calculator or spreadsheet to do the calculations.
P(X = 10) = (14 choose 10) x p¹⁰ * (1 - p)¹⁴⁻¹⁰ = 0.0193
After adding up the probabilities for 0 to 9 orders, we get a probability of approximately 0.0193.
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Please help e with this
a) The diagram is given below.
b) The vertical distance from the woman's eye level to the bottom of the flagstaff is approximately 9.07 meters.
c) The height of the flagstaff is approximately 15.45 meters.
What does an angle mean?
The intersection of the intersecting lines that make up a skew's ends determines both its greatest and smallest walls. Two paths might hypothetically come together at a crossroads. Angle is another outcome of two things interacting. They resemble dihedral shapes the most. A two-dimensional curve can be created by placing two line beams in various configurations between their extremities.
a) Diagram:
C
/|
/ |
/ | h
/ |
/ |
/ |
/ |
/ |
/ |
/ |
/ɑ |
/_____|
A B
In this diagram, the woman is standing at point A, the flagstaff is at point B, and the top of the flagstaff is at point C. The angle of elevation from the woman to the top of the flagstaff is angle ɑ, and the angle of depression from the woman to the bottom of the flagstaff is angle β. The distance from the woman to the base of the flagstaff is h.
b) The vertical distance from the woman's eye level to the bottom of the flagstaff can be found using trigonometry. We know that the angle of depression from the woman to the bottom of the flagstaff is 20 degrees, so we can use the tangent function to find the vertical distance:
tan(20) = h / 25
h = 25 * tan(20)
h ≈ 9.07 m
Therefore, the vertical distance from the woman's eye level to the bottom of the flagstaff is approximately 9.07 meters.
c) To find the height of the flagstaff, we can use the tangent function again, this time with the angle of elevation from the woman to the top of the flagstaff:
tan(76) = (h + x) / 25
where x is the height of the flagstaff above the bottom
We know that h is approximately 9.07 m from part b. Rearranging the equation, we get:
x = 25 * tan(76) - h
x ≈ 24.52 m - 9.07 m
x ≈ 15.45 m
Therefore, the height of the flagstaff is approximately 15.45 meters.
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Is my answer correct? If it isn't can I get an explanation?
The missing length KL in ΔLKJ is x = 22.
What is similar triangles?Similar triangles are two triangles that have the same shape but may have different sizes.
Corresponding angles are equal and corresponding sides are proportional to each other.
Since the triangles are similar, the corresponding sides are in proportion.
We can set up the proportion:
LJ/RP = KJ/QP
Substituting the given values, we get:
28/42 = x/33
Cross-multiplying and simplifying, we get:
42x = 28 × 33
42x = 924
x = 924/42
x = 22
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Bob has 4,000 grams of sand. If hs brother has one kilogram how many kilo grams does his brother have
Bob has 4,000 grams of sand, which is equivalent to 4,000/1,000 = 4 kilograms of sand.
His brother has one kilogram of sand.
Therefore, his brother has 1/4 = 0.25 kilograms of sand.
f(x) x^3 + 3 is the function even odd or neither?
After answering the provided question, we can conclude that Therefore, equation the function [tex]f(x) = x^3 + 3[/tex]is neither even nor odd.
What is equation?In mathematics, an equation is a statement that states the equivalence of two expressions. An equation consists of two sides separated by an algebraic equation (=). For instance, the argument "2x + 3 = 9" states that the sentence "2x + 3" equals the number "9". The purpose of solving equations is to find the value or amounts of the variable(s) that always allow the equation to be true. Equations can just be simple or complicated, regular or nonlinear, and contain one or more variables. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are used extensively in mathematics, including algebra, calculus, and geometry.
We must investigate the symmetry features of the function[tex]f(x) = x^3 + 3[/tex] to determine if it is even, odd, or neither.
If f(-x) = f(x) for every x in its domain, a function is even.
If f(-x) = -f(x) for every x in its domain, the function is odd.
If a function meets none of these requirements, it is neither even nor odd.
[tex]f(-x) = (-x)^3 + 3 = -x^3 + 3\\f(x) = x^3 + 3\\f(-x) = -x^3 + 3\\f(x) = x^3 + 3\\f(-x) = -x^3 + 3\\-f(x) = -(x^3 + 3) = -x^3 - 3\\[/tex]
Since f(-x) ≠ -f(x), f(x) is not odd either.
Therefore, the function [tex]f(x) = x^3 + 3[/tex]is neither even nor odd.
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What else is needed to prove these triangles congruent using the sss postulate// PLS HELP
AC=FC is the additional information needed to prove the triangles congruent using the SSS postulate. So, option (b) is correct:
What does the SSS postulate state?According to the SSS postulate, if three sides of one triangle are congruent with three sides of another triangle, the triangles are congruent. Therefore, we need to ensure that the included angles are also congruent to prove the triangles congruent.
Option (a) states that angle A is congruent to angle F, and angle D is congruent to angle B. While this is true, it is not sufficient to prove the triangles congruent using the SSS postulate alone.
Option (c) suggests that nothing else is needed to prove the triangles congruent using the SSS postulate. However, as explained above, we need to ensure that the included angles are congruent as well.
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Someone help please
Solve for x. Round to the nearest 10th if necessary
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
simplify the radicals
[tex] \sqrt{ \frac{2}{9} } - 3 \sqrt{ \frac{8}{9} } + \sqrt{ \frac{32}{9} } [/tex]
[tex] \frac{ \sqrt{2} }{3} - 3( \frac{2 \sqrt{2} }{3}) + \frac{4 \sqrt{2} }{3} [/tex]
[tex] \frac{ \sqrt{2} - 6 \sqrt{2} + 4 \sqrt{2} }{3} = - \frac{1}{3} \sqrt{2} [/tex]
pls do this!!!!
worth 80 points!!
Answer:
a. x > -1
b. x >= -2
c. x <= 3
d. x <= 0
Step-by-step explanation:
A side of a regular polygon is 11.5cm. If each of
its exterior angles is 18°, calculate the
circumference of the polygon.
Therefore , the solution of the given problem of angles comes out to be the regular polygon has a 230 centimeter circumference.
What does an angle mean?The largest and smallest walls of a skew are determined by the point at which the lines that make up its ends meet. At a junction, it's possible that two routes will cross. Another result of two objects interacting is an angle. They most closely resemble dihedral shapes. Two line beams can be arranged in a variety of ways between their extremities to form a two-dimensional curve.
Here,
All of the edges and angles make up a regular polygon. If a regular polygon's exterior angle is 18 degrees, then the internal angle is:
180 minus the external angle is the interior angle.
180 degrees minus 18 degrees is the interior angle.
Angle inside equals 162 degrees
Sum of internal angles is equal to (n - 2)°, or 180°.
=> (n - 2) × 180 = n × 162
When we simplify and solve for n, we obtain:
=> 180n - 360 = 162n
=> 18n = 360
=> n = 20
The regular polygon in the example has 20 edges.
Given that the length of each side is 11.5 centimeters, the polygon's circumference is as follows:
Circumference is equal to the sum of the lengths of all the edges.
=> Circumference = 20.1 centimeters.
=> 230 centimeters is the circumference.
Consequently, the regular polygon has a 230 centimeter circumference.
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You are using the equation 4(p - 7) = 44 to determine how many pictures can
be savled at one time to the photo stream on your cell phone. Describe the
operations in the order that you will perform them to solve the equation. please help i need answer. ASAP!
Answer:
p=18
Step-by-step explanation:
if 4(p-7) = 44,
Then you can use distributive property to solve
4p-28=44
add 28 to both sides. So,
4p=72
Divide 4 from both sides.
p= 18.
What is the area of the trapezoid?
10 cm
16 cm
Not drawn to scale.
8 cm
8 cm²
62 cm²
84 cm²
125 cm²
7 cm
8 cm
Therefore, the area of the trapezoid is 84cm².
What is trapezoid?A trapezoid (also known as a trapezium) is a four-sided geometric shape with two parallel sides and two non-parallel sides that meet at two endpoints. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The distance between the two bases is the height of the trapezoid. The formula for finding the area of a trapezoid is (base1 + base2) x height / 2. The formula for finding the perimeter of a trapezoid is the sum of the lengths of all four sides.
To find the area of a trapezoid, you can use the formula:
[tex]A = (B1 + B2) * h / 2[/tex]
where A is the area of the trapezoid, B1 and B2 are the lengths of the parallel sides (also called bases), and h is the height (the perpendicular distance between the bases).
Using the values, you provided:
[tex]B1 = 8cm\\B2 = 16cm\\h = 7cm[/tex]
Plugging these values into the formula, we get:
[tex]A = (8cm + 16cm) * 7cm / 2[/tex]
[tex]A = 24cm * 7cm / 2[/tex]
[tex]A = 168/2cm^{2}[/tex]
[tex]A = 84cm^{2}[/tex]
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i need help , i want to rename my add-in in casio fx-cg50 and/ or change the picture but i dont know how to make that by changing the code
my because he was poor liké kiss
Increase the number 15/16 by 3/5 of it. Then increase the resulting number by 3/5of it.
PLS HELP
The increased number is 15/16 by 3/5 of is 345/160.
What is a fraction?
A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities.
To solve this problem, we need to follow the steps given in the question.
Step 1: Increase the number 15/16 by 3/5 of it.
We can write this mathematically as:
15/16 + (3/5)*(15/16)
Multiplying 15/16 by 3/5, we get:
(15/16)*(3/5) = 45/80
Adding this to 15/16, we get:
15/16 + 45/80 = 375/320 + 225/320 = 600/320
Simplifying this fraction, we get:
600/320 = 75/40 = 15/8
So, the result of the first step is 15/8.
Step 2: Increase the resulting number by 3/5 of it.
We can write this mathematically as:
(15/8) + (3/5)*(15/8)
Multiplying 15/8 by 3/5, we get:
(15/8)*(3/5) = 45/40
Adding this to 15/8, we get:
15/8 + 45/40 = 300/160 + 45/160 = 345/160
Therefore, the final result is 345/160.
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in the section, "Stride Rate Faster Than Usain Bolt's," what
does the author mean by "That is more than 10 times the
stride rate of Olympic Runner Usain Bolt? Use two details
from the article to support your response.
The author is comparing this stride rate to that of Olympic Runner Usain Bolt, who has a reported stride rate of 3.5 strides per second.
What is stride rate?The number of steps a runner takes in a specific length of time is referred to as stride rate and is commonly expressed in steps per second. You can figure it out by dividing the total number of steps you took during a certain amount of time by how long that time period lasted. Stride rate, which is frequently used as a gauge of running effectiveness, is impacted by a variety of variables, including running speed, terrain, and personal running form.
Hence, in the given section, the author is comparing this stride rate to that of Olympic Runner Usain Bolt, who has a reported stride rate of 3.5 strides per second.
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The area of a parallelogram is represented by 3x² + 15x-2xy-10y.
Write this expression in factored form.
the factored form of the expression 3x² + 15x - 2xy - 10y is (x + 5)(3x - 2y).
How to solve the expression?
To factor the expression 3x² + 15x - 2xy - 10y, we need to look for common factors and grouping of terms. First, we can factor out 3x from the first two terms and -2y from the last two terms:
3x(x + 5) - 2y(5 + x)
Now we can see that both terms have a common factor of (x + 5), so we can factor it out:
(x + 5)(3x - 2y)
Therefore, the factored form of the expression 3x² + 15x - 2xy - 10y is (x + 5)(3x - 2y).
This expression represents the area of a parallelogram with base x+5 and height 3x-2y. The factored form makes it easier to see the relationship between the dimensions of the parallelogram and the expression for its area. For example, we can see that the area is zero when either factor is zero, meaning that the base or height of the parallelogram is zero. We can also use the factored form to find the dimensions of a parallelogram given its area.
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The marked price of a merchandise is 20% higher than the cost price. After the merchandise is sold at 90% of the marked price, there is still a profit of RM 24. Find the cost price of the merchandise.
Answer:
RM 300
Step-by-step explanation:
Let's assume that the cost price of the merchandise is "C" in RM.
According to the problem, the marked price of the merchandise is 20% higher than the cost price. Therefore, the marked price can be calculated as:
Marked price = Cost price + 20% of Cost price
Marked price = C + 0.2C
Marked price = 1.2C
The merchandise is sold at 90% of the marked price, which means the selling price can be calculated as:
Selling price = 90% of Marked price
Selling price = 0.9 × 1.2C
Selling price = 1.08C
We are given that the profit after selling the merchandise is RM 24. Profit is calculated as the difference between selling price and cost price. Therefore, we can write:
Profit = Selling price - Cost price
24 = 1.08C - C
24 = 0.08C
Solving for C, we get:
C = 24/0.08
C = 300
Therefore, the cost price of the merchandise is RM 300.
the top face of a phone is a rectangle measuring inches by inches. find the area of the face of the phone.
Thus, the area of the rectangular face of the phone is found to be:
Area = 200 sq. in.
Explain about the features of rectangle?Due to the diversity of shapes seen in geometry, geometry is also referred to as the study of shapes.
A rectangle is a quadrilateral in geometry that has four equal angles, each measuring 90 degrees, and opposing sides that seem to be parallel and equal in length.A polygon is still a two-dimensional shape having straight sides, and a quadrilateral is a polygon with four sides. Combining everything, we can say that a rectangle is still a two-dimensional shape containing four sides, opposite sides that are parallel and equal in length, and four angles that are all 90 degrees.Dimensions of the face of rectangular face of phone:
Length = 20 inches
width = 10 inches
Area = length x width
Area = 20 x 10
Area = 200 sq. in.
Thus, the area of the rectangular face of the phone is found to be:
Area = 200 sq. in.
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Complete question:
The top face of a phone is a rectangle measuring 20 inches by 10 inches. find the area of the face of the phone.
Evaluate the expression Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
The evaluated expression [tex]\frac{4^{x} }{2^{x} }[/tex] for x = 3 is 4.
How to evaluate expression?An algebraic expression is made up of variables and constants, along with algebraic operations such as addition, subtraction, multiplication and division.
Therefore, to evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
Hence, let's evaluate the expression as follows:
[tex]\frac{4^{x} }{2^{x} }[/tex] for x = 3
Therefore,
[tex]\frac{4^{3} }{2^{3} } = \frac{64}{16}[/tex]
Therefore,
64 / 16 = 4
Hence, the evaluated expression is 16.
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Pls see attached , pls help
the equation Y = 1(1-x)² - 5 represents a downward-facing parabola with vertex at (1,-5), which opens upwards, and the value of Y increases as x moves away from 1 in either direction.
What is equation?
An equation is a mathematical statement that contains an equality sign (=) between two expressions. It indicates that the expressions on either side of the equality sign are equal in value. Equations can have variables, constants, coefficients, and operators like addition, subtraction, multiplication, and division. The variables represent unknown values, and the goal of solving an equation is to determine the value(s) of the variable(s) that make the equation true.
For example, the equation 2x + 5 = 11 is an algebraic equation, where "x" is the variable, "2" and "5" are constants, and "+" and "=" are operators. The solution to this equation is x = 3, since when we substitute x = 3 into the left-hand side of the equation, we get 2(3) + 5 = 11, which satisfies the equality.
The equation given is Y = 1(1-x)² - 5.
This equation represents a parabola in vertex form, where the vertex is at (1,-5). The coefficient of the squared term is positive, which means that the parabola opens upwards.
When x = 1, the value of Y is -5, which is the minimum value of the parabola. As x moves away from 1 in either direction, the value of the expression (1-x)² increases, causing the value of Y to increase as well.
Therefore, the graph of this equation is a downward facing parabola with the vertex at (1,-5), and it opens upward. As x moves away from 1, the value of Y increases.
In summary, the equation Y = 1(1-x)² - 5 represents a downward-facing parabola with vertex at (1,-5), which opens upwards, and the value of Y increases as x moves away from 1 in either direction.
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Instructions: Find the missing side. Round your answer to the nearest tenth.
x=
X
43°
34
The missing side of a right triangle, from the figure, is 33.1 meters long.
A right triangle has three sides, what are they?
An "opposite" side in a right triangle is the one that is across from a specific angle, while an "adjacent" side is the one that is next to a specific angle. The hypotenuse seems to be the longest side in a right triangle. The sides in right triangles are described with particular terminology.
We can apply the tangent function in order to calculate the length of the missing side if we assume that it is opposite the 43-degree angle that is provided:
tan(43°) = x/34
When we multiply all sides with 34, we get:
x = 34 tan(43°)
Using just a calculator, we determine:
x ≈ 33.1
Rounded to the nearest tenth, we obtain:
x ≈ 33.1
Hence, the missing side of the given triangle is x = 33.1.
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The complete question is in the attached figure.
17. A biologist studying ants started on day with a population of 1500 ants. On day 2, there were 3000 ants, and on day 3, there were 4500 ants. The increase in an ant population can be represented using a geometric sequence. What is the ant population on day 5?
Answer:
Step-by-step explanation:
1500
+1500
3000
+1500
4500
+1500
6000
+1500
7500
Answer=7500
is there evidence of a negative correlation between systolic blood pressure and heart rate? in a sample of 200 patients, we found a sample correlation of -0.057.
There is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate.
There is evidence of a negative correlation between systolic blood pressure and heart rate. In a sample of 200 patients, a sample correlation of -0.057 was found. Correlation is a statistical measure used to assess the degree to which two variables are related to one another. A correlation coefficient ranging from -1 to 1 is used to represent this relationship. A negative correlation exists when two variables move in opposite directions.
It means that as one variable increases, the other variable decreases or vice versa.In the given case, there is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate. Systolic blood pressure is the amount of pressure exerted by blood against the walls of the arteries when the heart pumps. It is the top number in a blood pressure reading.
When your heart beats and pushes blood out, the systolic pressure is created.Heart rate is the number of times your heart beats per minute. It is also known as the pulse rate. It represents the number of times your heart contracts and relaxes with each heartbeat.
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I think the pic is attached to this
The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.
To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.
In the given graph we can see that the line intersects the point 1 on y axis.
Therefore, y-intercept of a line in the xy-plane is (0,1).
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