Therefore , the solution of the given problem of trigonometry comes out to be it is roughly 5193 feet from pier A to the coral reef.
What is a trigonometry?Relationships between mathematics but also cubic splines When the different fields were combined, astrophysics is thought to have been born in the third century BC. With the aid of exact angle mathematical techniques, many metric issues can be resolved or the outcomes of calculating them can be ascertained. The study of the six fundamental trigonometric formulas is known as trigonometry.
Here,
The north-south distance from pier A to the coral reef, x sin(31°37′), is the other side of the triangle (relative to angle ). The east-west path from dock A to the edge of the coral reef, which is equal to x cos(31°37′), forms the opposite side of the triangle. We're looking for x's number.
The Pythagorean theory allows us to write:
=> (x cos(31°37′) + 2599) + (x sin(61°37′)) = (x sin(31°37′))
By condensing and rearrangeing, we obtain:
=> x² - 5198x + 6790401 = 0
We can use the quadratic formula to answer the following quadratic equation:
=> x = (-(-5198) ± √(-5198)^2 - 4(1)(6790401))) / (2(1))
=> x = (5198 + √(26857604)) / 2
=> x = (5198 ± 5188) / 2
=> x = 5193 or x = 5
The negative answer x = 5 does not make logic in this situation because x is a measure of distance. Consequently, it is roughly 5193 feet from pier A to the coral reef.
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which ratios have a unit rate greater than 1? choose all that apply 2 1/2 miles:3 hours 9/8 miles:5/6 hour 1/3 mile: 2 3/8 hours 9/5 miles:3 hours 4 miles:3 1/3 hours 7 miles: 3/4
Answer: The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours
Step-by-step explanation:
Unit rate is the ratio of the distance travelled o the time taken.
For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;
If distance = 9/8 miles and time = 5/6 hours
Hence the ratio that has a unit rate is 9/8 miles:5/6hours
If distance = 7 miles and time = 3/4 hours
50 POINTS. if needed rotate in top right corner
The length of the side of the square would be 12 inches.
What is a Square?A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90° angles. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.
Given : side of the triangle = 16 inches
So, the perimeter of the triangle = 16+16+16
= 48 inches
Now, the wire is unbent and shaped into a square.
So, the length of the wire would be same.
Hence, we can say that:
Perimeter of triangle = perimeter of square
48 = 4 × side
So, side = 12 inches.
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Please help me I would appreciate it.
use the Remainder Theorem and synthetic division please
Answer:
f (3) = 142
Step-by-step explanation:
#CarryOnLearning
What is the meaning of "cannot always be added or multiplied"?
In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.
What arbitrary mean in linear algebra?Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)
The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.
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I’ll give BRAINLIEST if correct as well as 5star ratings
Answer:x=-4,-2
Step-by-step explanation:it is
You decide that the all-white rectangular wall in your living room needs some color. You plan to paint a diagonal stripe to break up the white paint. If the wall measures 9 feet tall by 12 feet wide, what length of diagonal stripe will you paint?
Answer:
15 ft
Step-by-step explanation:
Use the Pythagorean theorem.
9² + 12² = c²
c² = 225
c = √225 = 15
Answer: 15 ft
Answer:
15 feet
Step-by-step explanation:
So, to start we have to find the area of the wall.
9(12)=108
Now, we need to find half of the walls area
108/2=54
We have our length and height, but we need to find the hypotenuse using Pythagoreans theorem.
9 is our A and 12 is our B
a^2+b^2=c^2
81+144=c^2
c^2=225
The square root of 225 is 15.
C=15
Therefore, the stripe will be 15 feet.
Assume a class has 20 members. In how many ways can a committee of three be chosen?
As a result, there are 1140 different methods to select a committee of three from a group of 20 people.
what is probability ?The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to gauge how likely something is to happen. Probability is expressed as a number between 0 and 1, with 0 denoting that the occurrence won't happen and 1 denoting that it will definitely happen. By dividing the number of favourable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. Numerous disciplines, including statistics, finance, engineering, and science, use probability extensively to forecast the chance of an event happening and base decisions on that forecast.
given
The following combination formula determines how many options there are to select a committee of three from a class of 20 members:
C(20, 3) = 20! / (3! * (20-3)!) = 20 * 19 * 18 / (3 * 2 * 1) = 1140
As a result, there are 1140 different methods to select a committee of three from a group of 20 people.
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Brainliest for correct answer
What is the equation of the line in slope-intercept form? (0,3) (-5,0)
In slope-intercept form, the line's equation is y = (3/5)x + 3.
What sort of equation would that be?The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What does a basic equation mean?A formula that describes how two expressions on either side of a sign are connected. It typically has an equal sign and one variable. similar to this: 2x − 4 Equals 2.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Where (x1, y1) = (0, 3) and (x2, y2) = (-5, 0)
m = (0 - 3) / (-5 - 0) = 3/5
To estimate the y-intercept, we just found the intersection of two endpoints just on line (0, 3):
[tex]y=mx+b[/tex]
[tex]3=(\frac{3}{5} )(0)+b[/tex]
[tex]b=3[/tex]
So the equation of the line in slope-intercept form is: [tex]y=(\frac{3}{5}x )+3[/tex]
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The reading on a water meter in April and May are 417.8 kl and 430.4 kl. If there is a basic charge of 23 pesos and the cost per kl is 20 pesos, how much is the billing for water consumption between the two months?
Answer:
the billing for water consumption between April and May is 275 pesos.
Step-by-step explanation:
To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.
The difference between the readings in April and May is:
430.4 kl - 417.8 kl = 12.6 kl
To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.
The cost of the water usage is:
12.6 kl x 20 pesos/kl = 252 pesos
Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:
252 pesos + 23 pesos = 275 pesos
Therefore, the billing for water consumption between April and May is 275 pesos.
is a function 4x + y = 2x -8
The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.
If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.
The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.
4x + y = 2x - 8
Taking 2x away from both sides:
2x + y = -8
When we take away 2x from both sides, we obtain:
y = -2x - 8
As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.
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the sum is -7 and the difference is 14
Answer:
please give more information like what to find
3.5, -10.5
Step-by-step explanation:
5. The numbers 3.111... and 3.222... are both rational numbers. What is an irrational number that is between these two rational numbers?
The irrational number that is between the numbers is 3.112...
How to determine the irrational number that is between the numbers?Given that
Numbers = 3.111... and 3.222....
The question states that the numbers are ratonal numbers
This is not true because the numbers are irrationa number dues to the ... appended to the numbers
Having said that
The irrational number between 3.111... and 3.222 is 3.112...
This is so because
3.111... < 3.112... < 3.222
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It took Matt 25 minutes to read a science article. It took him 13 times as long to read the assigned chapters in a history book. How long did it take Matt to read the history chapters?
The number of hours it would take to read the history chapters is 5 hours 25 minutes.
How long would it take to read the history chapters?In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.
Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.
Time it would take to read the history chapters = 25 x 13 = 325 minutes
325 / 60 = 5 hours 25 minutes
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What is the value of cos^-1 (-square root 3/2)
Answer:
Step-by-step explanation:
The value of cos^-1(-sqrt(3)/2) is -π/6 or -30 degrees.
We know that cos^-1(x) gives the angle whose cosine is x, in the range [0, π]. In this case, we are looking for the angle whose cosine is -sqrt(3)/2.
Recall that the cosine function is negative in the second and third quadrants of the unit circle. In the second quadrant, the reference angle whose cosine is sqrt(3)/2 is π/6 or 30 degrees, but the cosine function is negative in this quadrant. Therefore, the angle whose cosine is -sqrt(3)/2 is -π/6 or -30 degrees, which is in the fourth quadrant.
So, cos^-1(-sqrt(3)/2) = -π/6 or -30 degrees.
6+2*6+20/4 can someone please answer this
The order of operations (also known as BODMAS) should be used to evaluate this expression:
6 + 2*6 + 20/4 = 6 + 12 + 5 = 23
So the answer is 23.
State whether this is a polynomial and give reason to your answer. X²-4X-32
Answer:
Yes, it's a polynomial
Step-by-step explanation:
A polynomial is an expression that only involves operations of addition, subtraction, multiplication, and positive integer powers and variables.
Your expression fits the criteria. You could also make this into a binomial and get (x-8)(x+4).
Please answer my question that I posted. I'm stuck and I really need help.
Number 5 I need help with only C
The probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
What is conditional probabilityConditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome. The conditional probability P(A|B) occur only in the case of dependent events. It gives the conditional probability of A given that B has occurred.
P(F|G) = P(F∩G) / P(G)
P(F∩G) = Probability of happening of both F and G
P(F) = 199/600 = 0.3317
P(F∩G) = 79/600 = 0.1317
P(G) = 330/600 = 0.55
P(F|G) = 0.1317/0.55
P(F|G) = 0.2394.
Two events say A and B are independent if the probability of occurrence of one of them is not affected by the occurrence of the other, mathematical expressed as P(A ∩ B) = P(A) × P(B)
P(F) × P(G) = 0.3317 × 0.55
P(F) × P(G) = 0.1824
P(F∩G) is not equal to P(F) × P(G) from the data given.
Therefore, the probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
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Find the values of x and y.
The value of x and y in the triangle are 0 and 4 respectively.
How to find the side of a triangle?The mid segment of a triangle is a line connecting the midpoints between two sides of a triangle. The mid segment theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side .
Therefore,
x + 2 = 3 / 2 x + 2
x - 3 / 2 x = 2 - 2
-0.5x = 0
x = 0
Let's find y
2y - 1 = 3y - 5
2y - 3y = -5 + 1
-y = -4
y = 4
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Consider the parabola represented by this equation.
4x2 + 4x + 2y + 1 = 0
Which features are features of the parabola?
0
opens down
opens to the left
directrix at y = ㅎ
vertex at (-1,0)
directrix at x =
02/00
HELPPPP MEEEW
Answer:
a) opens down
c) directrix at y = 1/8
d) vertex at (-1/2,0)
Step-by-step explanation:
Starting from the given equation:
4x^2 + 4x + 2y + 1 = 0
We can rearrange to obtain the standard form of the equation of a parabola:
2(y + 1/2) = -4(x + 1/2)^2 + 1
(y + 1/2) = -2(x + 1/2)^2 + 1/2
Comparing to the standard form:
(y - k) = a(x - h)^2
We can see that the vertex of this parabola is at the point (-1/2, -1/2).
Next, we can find the axis of symmetry by noting that the parabola is symmetric about a vertical line passing through the vertex. This line is given by:
x = -1/2
We can also determine whether the parabola opens upward or downward by looking at the sign of the coefficient a. In this case, a = -2, so the parabola opens downward.
The distance between the vertex and the directrix is given by |1/(4a)|. Therefore, the distance between the vertex (-1/2, -1/2) and the directrix is:
|1/(4(-2))| = 1/8
So the directrix of the parabola is the horizontal line y = 1/8.
Therefore, the correct options are:
a) opens down
c) directrix at y = 1/8
d) vertex at (-1/2,0)
The other options are incorrect:
b) The parabola does not open to the left.
e) The directrix is not a vertical line at x = -3/8.
f(a) = 3a +5
g(a)=a²-4
Find f(-7) - g(-7)
The composite function when evaluated is -61
How to evaluate the composite functionFrom the question, we have the following functions that can be used in our computation:
f(a) = 3a +5
g(a)=a²-4
Using the above as a guide, we have the following equations
f(-7) = 3(-7) +5 = -16
g(-7) = (-7)²- 4 = 45
So, we have
f(-7) - g(-7) = -16 - 45
Evaluate
f(-7) - g(-7) = - 61
Hence, the solution is -61
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I am perplexed about how to calculate this:
For someone with a foot length of 29 cm, identify the 95% prediction interval estimate of their height and write a statement interpreting that interval.
CORRECT ANSWER: 177 cm < y < 200 cm
The 95% prediction interval for the height is given by the inequality 177 cm < y < 200 cm.
The interpretation is that we are 95% sure that the height of a person with a foot length of 29 cm is greater than 177 cm and less than 200 cm.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.In this problem, the bounds of the interval are given as follows:
y > 177cm -> greater than 177 cm.y < 200 cm -> less than 200 cm.We have a compound inequality, hence both conditions have to be respected simultaneously.
Missing InformationThere is not enough information to obtain the interval, hence we just interpret the given interval.
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What is the least possible probability in any experiment
Answer:
0
Step-by-step explanation:
I remember learning this in math class. The smallest possible probability is zero meaning that event can't happen to be true.
100 POINTS!!!! ILL GIVE BRAINLEIST. What is true when two proper fractions are multiplied together?
The product will be larger than both factors.
The product will be larger than the smaller factor but smaller than the larger factor.
The product will be smaller than both factors.
The product will be an improper fraction.
Answer:
When two proper fractions are multiplied together, the product will be smaller than both factors.
Step-by-step explanation:
To understand why this is true, we can consider the concept of fractions as parts of a whole. When we multiply two proper fractions, we are essentially taking a part of a part, which results in a smaller portion overall.For example, if we multiply 1/2 by 2/3, we are taking half of something and then taking two-thirds of that half. The result is 1/3, which is smaller than both 1/2 and 2/3.Therefore, the correct answer is: The product will be smaller than both factors.
Answer:The product will be smaller than both factors.
When two proper fractions are multiplied together The product will be smaller than both factors.Take a look at the equation below.
¾ * ⅔= 3 times 2 is 6 and 4 times 3 is 12. So the equation is 6/12 .
6/12 is simplified to 1/2. 1/2 is less than both 2/3 and 3/4. Which means the product is smaller. Hence, the correct answer is the product will be smaller than both factors.
I hope this helped & Good Luck <3!!!!
Given: AD ~/= BC and AD || BC. Prove: ABCD is a parallelogram.
Answer:
Its a parallelogram because it has two sets of equal sides.
(let me know if I have to explain it more)
Find the last digit of the product of 2001 * 2003 * 2005 * 2007 * 2009... * 2017 * 2019?
The last digit of the product is 5.
How did we get the value?To find the last digit of the product of these numbers, we only need to focus on the last digit of each number, since the other digits do not affect the last digit of the product. We can observe that every odd number has a last digit of 1, 3, 5, 7, or 9. Therefore, we only need to consider the last digit of every fifth odd number in the given sequence.
The last digit of 2001 is 1.
The last digit of 2003 is 3.
The last digit of 2005 is 5.
The last digit of 2007 is 7.
The last digit of 2009 is 9.
The last digit of 2011 is 1.
The last digit of 2013 is 3.
The last digit of 2015 is 5.
The last digit of 2017 is 7.
The last digit of 2019 is 9.
To find the last digit of the product of these numbers, we need to multiply all of these last digits together. We can group the digits into pairs that multiply to 1, and there is one 5 remaining. Multiplying all of these digits together gives:
1 * 3 * 5 * 7 * 9 * 1 * 3 * 5 * 7 * 9 * 5 = 5
Therefore, the last digit of the product is 5.
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A real estate agent has 19 properties that she shows. She feels that there is a 30 % chance of selling any one property during a
week. The chance of selling any one property is independent of selling another property. Compute the probability of selling at
least 5 properties in one week. Round your answer to four decimal places.
Answer: This is a binomial probability problem. Let X be the number of properties sold during a week, then X has a binomial distribution with parameters n=19 and p=0.3.
The probability of selling at least 5 properties is:
P(X ≥ 5) = 1 - P(X < 5)
To calculate P(X < 5), we can use the binomial cumulative distribution function or the normal approximation to the binomial distribution.
Using the binomial cumulative distribution function, we have:
P(X < 5) = Σ P(X = k) for k = 0 to 4
Using the formula for the binomial probability mass function, we get:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
= (0.7)^19 + 19(0.3)(0.7)^18 + 171(0.3)^2(0.7)^17 + 969(0.3)^3(0.7)^16 + 3876(0.3)^4(0.7)^15
Using a calculator or statistical software, we get:
P(X < 5) = 0.95044
Therefore, the probability of selling at least 5 properties in one week is:
P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.95044 = 0.0496 (rounded to four decimal places).
So the probability of selling at least 5 properties in one week is approximately 0.0496 or 4.96%.
Step-by-step explanation:
Find the slope of the line shown below?
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
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PLEASE HELP!! THIS IS DUE TONIGHT
The scale factor is 2/3 and the value of x and y are 9 and 10 respectively
What are similar shapes?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
scale factor = length of new shape/ length of original
= 8/12 = 2/3
x = 6 ÷ 2/3
x = 6 × 3/2
x = 9
y = 15 × 2/3
y = 10
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