I think that it is 56
If QS is the ANGLE bisector, solve for x
Question setup: x over 18 = 45 over 20
Solving for x in the angle bisector which resulted to the proportion x over 18 = 45 over 20 results to x = 40.5
What are angle bisectors as used in geometry?In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector.
By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.
The division from angle bisectors gave rise to the proportion which is given by
x / 18 = 45 / 20
cross multiplying
x = 18 * 45 / 20
x = 40.5
hence x is solved to get 40.5
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Lauren throw a ball with an initial velocity of 40 feet per econd. The equation for the of the ball i h =- 16t? 40t 5, where h repreent the height in feet and t repreent the time in econd. When will the ball reach a height of 3 feet?
The ball will reach a height of 3 feet at t = 5/4 seconds.
To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5
We are given that the height of the ball is 3 feet, so we can set up the equation:
3 = -16[tex]t^2[/tex] + 40t + 5
Then we can solve for t by isolating t on one side of the equation and then solving for t:
3 = -16[tex]t^2[/tex] + 40t + 5
-5 = -16[tex]t^2[/tex] + 40t
16[tex]t^2[/tex] - 40t - 5 = 0
We can factor the left side of the equation:
(4t - 5)(4t + 1) = 0
So we have two possible solutions:
t = 5/4 or t = -1/4
However, the time cannot be negative, so the only valid solution is t = 5/4.
So the ball will reach a height of 3 feet at t = 5/4 seconds.
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How to determine the number of solutions in a linear system without solving?
To determine the number of solutions in a linear system without solving it, check their slopes. If the slopes are different, there is one solution; if the slopes are the same but the equations are different, there is no solution; if the equations are exactly the same, the solutions are infinite.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equations will have one solution.
Example:
y = -3x - 2
5x + 2y = 15
The slopes of the line equations are different, hence the solution is unique
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
Example:
2x + 2y = 8
y = -x -5
These are parallel lines, hence, there is no solution
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
Example:
2x + 2y = 8
4x = -4y + 16
Those two equations are exactly the same. Hence, the solutions are infinite.
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What are the 3 types of solubility?
The three type of solubility are highly soluble, sparingly soluble or insoluble.
The term solubility is defined as the maximum amount of a substance that will dissolve in a given amount of solvent at a specified temperature
Here we have to major three types of solubility are defined below.
As we all know that Temperature, pressure and the type of bond and forces between the particles are few among them, that are the 3 factors solubility depends on.
According to the concentration of solute dissolves in a solvent, the solutes are categorized into highly soluble, sparingly soluble or insoluble.
Here we have to know that if a concentration of 0.1 g or more of a solute can be dissolved in a 100ml solvent, then it is said to be soluble.
Where as the concentration below 0.1 g is dissolved in the solvent it is said to be sparingly soluble.
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a farm house has 11 animals some are goats and some are ducks there are 34 legs all together how many ducks and goats
There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.
Explain about the Expression?An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.
Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.
There are 11 animals, and they have a combined total of 34 legs.
Set G and D to the number of goats and ducks, respectively.
Consequently, G = 11 - D when G + D = 11, and vice versa.
therefore 4G + 2D = 34
Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.
By expanding, we have 34 - 44 - 4 + 2D.
The answer is D = 5. Thus, G equals 6.
Proof (5 x 2) plus (6 x 4) equals 34.
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Wenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:
# of movies Frequency
0 4
1 9
2 5
3 6
4 1
a) Find the sample standard deviation, s. (Round your answer to two decimal places. )
b) Find the sample mean x^-
Answer: 35
Step-by-step explanation:
: i took this quiz before :)
12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.
Answer:
the answer is
The answer is
The answer is
The answer is 73
Step-by-step explanation:
need help on both these , preciate it .
Therefore ,we can conclude from answering the offered question that the region of the circle, triangle, and square is where the darkest area is. A=210-123 = 87 square units
Triangle - what is it?A triangle is a polygon since it has three sides plus three vertices. It is one of the basic geometric forms. An illustration of a triangle with the sides A, B, and C is Triangle ABC. A distinct plane or triangle in Geometrical are discovered when the three aspects are not collinear. Three sides & three corners define a triangle as a polygon. The triangle's corners are defined as the locations where three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
The total of the circle, triangle, and square's surface areas.
The region of the darkish area is comprised of the areas of the Circle, Triangle, and Square.
=>A = 210 – 123 = 87 square units
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Tyler is flying a kite on 100 feet spring how high is it above the ground if the horizontal distance between Tyler and the kite is 600 feet
If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.
Pythagorean theoremPythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.
The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.
Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
We apply the Pythagorean Theorem to determine the kite's height, h
the problem can solve if the kite is 60feet
[tex]h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80[/tex]
h =80 ft (we take the positive solution since the height can not be negative number)
The kite is 80 ft above the ground.
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Show youR WORK please send. A photo it could help
Answer:
Step-by-step explanation:
1 ft= 12 inches
So 5ft = 60 Inches
4= 0.3
Thus, Its 60.3
Which of the options below are the terms of the expression 5x² + 9x + 6? Choose all of the correct answers. 5x 9x 6 X x² 5 5x² 9
The terms of the expression are 5x², 9x and 6
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.
They are also known to be made up of arithmetic operation, such as;
DivisionAdditionParenthesesMultiplicationSubtractionBracket, etcIt is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.
They can be regrouped by the addition of their coefficients. Like terms are those that has the same variables to the same powers or coefficients.
The types are;
5x², 9x and 6
Thus, they are 5x², 9x and 6
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a population of rabbits doubles every year write an expression for the increase after five years as repeated multiplication. then write it as an exponential expression
Answer: An increase of a population doubling every year can be modeled using repeated multiplication. The expression for the increase after five years would be:
2 * 2 * 2 * 2 * 2 = 2^5 = 32
This can also be written as an exponential expression, with 2 as the base and 5 as the exponent:
2^5 = 32
This notation expresses that 2 is multiplied by itself 5 times to get 32, which represents the population size after 5 years with the rate of doubling every year.
It's also worth mentioning that exponential notation is used to represent the quantity of growth (doubling every year) , and using exponents makes it easy to see how much the population has grown over a certain period of time.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2^5= 32
=2 x 2 x 2 x 2 x 2
= 2^5
= 32
Problem 2
Use each of the numbers 4, 40, and 4000 once to make true statements.
The correct numbers to complete the statements given are 40, 400, and 4000.
What does this question require you to do?This question requires you to complete a statement with a given number (40, 400 or 4000) to make the statement true by dividing the number by 40.1. To find the correct order the numbers must be place using division, let's find out the results of each of these divisions:
40 / 40.1 = 0.997400 / 40.1 = 9.974000 / 40.1 = 99.7Based on the above, it can be concluded:
40 / 40.1 = is much less than 1400 / 40.1 = is close to 14000 / 40.1 = is much greater than 1Based on this, the complete statements are:
The value of 400 ÷40.01 is close to 1The value of 40 ÷40.01 is much less than 1.The value of 4000÷40.01 is much greater than 1.Note: This question is incomplete; here is the complete question:
Use each of the numbers 4, 40, and 4000 once to make true statements.The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is close to 1
The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is much less than 1.
The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is much greater than 1.
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CANN SOEMOEN PLS HELP ME PLS. I DONT KNOW WHAT TO DO AND THIS IS ALREADY A WEEK LATE.
Answer:
y = 72 and x = 36
Step-by-step explanation:
So firstly, the outside angle is 108, right? And the total of all angles in a triangle is 180 degrees. So:
180 - 108 = 72
Then the other angle, angle x, is also 72 degrees. That's because they are supplementary angles.
Now that we know x = 72 degrees. To find the y angle, you add 72 and 72 together. Which is 144.
Then you do 180 - 144. Which is 36. So, x = 72 and y = 36
I hope it helped you!
Which statement best describes a line graph?
A. It shows a line that connects a series of data
points.
B. It shows a line passing through scattered data points.
C. It shows data as proportions of a whole.
D. It shows the locations of errors in data.
Answer:
A
Explanation:
A line graph is a unique type of graph which is used in statistical application which represents the change in a quantity with respect to another quantity.
The price of different flavors of chocolates varies which can be represented, these variation is plotted in a two-dimensional XY plane.
If the relation include two measures can be presented by using a straight line in a graph called as linear graphs or a linear graph.
There are different types of the line graph, Simple Line Graph refers to Only one line is plotted on the graph, Multiple Line Graph where More than one line plotted on the same set of axes.
Compound Line Graph refers to the information can be divided into two or more types of data and this line graph is called a compound line graph which can be drawn to show the component.
An ancient human tribe had a hierarchical system where there existed one chief with $2$ supporting chiefs (supporting chief A and supporting chief B), each of whom had $2$ equal, inferior officers. If the tribe at one point had $10$ members, what is the number of different ways to choose the leadership of the tribe? That is, in how many ways can we choose a chief, $2$ supporting chiefs, and two inferior officers reporting to each supporting chief?
The number of different ways is 7560 ways
How to determine the number of different waysFrom the question, we have the following parameters that can be used in our computation:
Chiefs = 1
Supporting chiefs = 2
Members = 10
Inferior officers = 2
There are 10 members.
So, the number of ways to select a chief is 10
Now, there are 9 members left
The number of ways to select a supporting chief is then represented as
Supporting chief = ⁹C₂
Now, there are 7 members left
The number of ways to select an inferior officer is then represented as
Inferior officers = ⁷C₂
So, the total number of ways is
Ways = 10 * ⁹C₂ * ⁷C₂
Evaluate
Ways = 7560
Hence, the number of ways is 7560
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The table shows the approximate area
in square miles of the largest and smallest
states in the United States. What is the
difference between the areas in
square miles?
State
Area (mi?)
873
Alaska
Rhode Island
392
The difference between the areas is 481 square miles.
Given information:
Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.
To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:
Let X be the total difference:
873 - 392 = X
481 = X
Therefore, the difference in the areas in square miles is 481.
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A large green jar of candy contains red, green, and yellow candy. The probability of pulling a red candy out of the jar is 1/4. The probability of pulling a green candy out of the jar is 5/8. What is the probobility of randomly pulling a yellow candy out of the jar
Answer:
1/8
Step-by-step explanation:
total probability = 1
total probability = probability of red + probability of green + probability of yellow
1 = 1/4 + 5/8 + yellow
we want to find a common denominator
in this case, we know 4 * 2 = 8, so we can multiply 1/4 by 2/2 = 1 to get
1/4 * 2/2 = 2/8
1 = 2/8 + 5/8 + yellow
1 = 7/8 + yellow
subtract 7/8 from both sides to isolate yellow
1 = 8/8
1 - 7/8 = 8/8 - 7/8 = 1/8 = yellow
Find the Average Rate of Change of the graph over the interval -4 < x < 5
Answer:
AROC = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [ a, b ] = [ - 4, 5 ] , then
g(b) = g(5) = - 1 ← point (5, 1 ) on graph
g(a) = g(- 4) = 5 ← point (- 4, 5 ) on graph
average rate of change = [tex]\frac{-1-5}{5-(-4)}[/tex] = [tex]\frac{-6}{5+4}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]
What are the factors of x^3 Y^3?
The factors of (x^3 + y^3) are ( x + y )(x^2 - x . y + y^2).
In order to find the factors of (x^3 + y^3), you need to apply the sum of cubes formula:
(x^3 + y^3) = ( x + y )(x^2 - x . y + y^2)
(x^3 + y^3) = ( x + y )(x^2 - x y + y^2)
Therefore, in order to find the factor of the given expression, you just simply need to learn the sum of cubes formula.
Similarly, the difference of cubes formula is as follows:
(x^3 - y^3) = ( x - y )(x^2 + x y + y^2)
Which gives factors of (x^3 - y^3).
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makayla runs 3/5 of a mile in 1/6 of an hour. How fast, in miles per hour, does she run
Answer:
3.6 miles
Step-by-step explanation:
SolutionGiven information from the question,
[tex]\frac{1}{6} \ hour = \frac{3}{5} \ miles\\ 1 \ hour = \frac{3}{5} / \frac{1}{6} \ miles\\1 \ hour = \frac{18}{5} \ or\ 3\frac{3}{5} \ or \ 3.6 miles[/tex]
Answer:
Velocity is the term to illustrate speed
Step-by-step explanation:
velocity = distance ÷ time
velocity = 3/5 ÷ 1/6
= 18/5 m/h
three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color
Three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color is 0.8824 or 88.24%
What is the definition of probability?The likelihood or chance that a specific event will occur is represented by a probability.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportion with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Given that three cards are chosen from a pack of 52 cards.
There are 26 cards of each color (i.e. 26 cards are red color and 26 cards are of black color)
The probability of drawn first card of any one color is
P(1)= 26/52 = 1/2
The probability of drawn second card of same color is
P(2)= 25/51
The probability of drawn third card of same color is
P(3)= 24/50 = 12/25
The probability of having three cards are same color is
P = P(1)*P(2)*P(3)
P = 1/2 * 25/51 * 12/ 25
P = 6/51
So the probability that three cards are not all the same color is
P' = 1 - P
P' = 1 - 6/51
P' = (51-6)/51
P' = 45/51 = 15/17
P' = 0.8824
The likelihood that the three cards are not all red is roughly 0.8824, or 88.24%,
.
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Subtract (9x-12)-(5x-7)
Answer:
Step-by-step explanation:
(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5
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A=?cm
What is the correct answer?
Answer:
A = 80 cm²
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 4 and h = 2 , then
A = 4 × 2 = 8 cm²
there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is
A = 10 × 8 cm² = 80 cm²
Mark purchased 3 hotdogs and 2 pretzels for $7.50. Mary’s purchased 2 hotdogs and 4 pretzels for $7. How much is each item
Answer:
Hotdog costs $2 and pretzel costs $0.75--------------------------
Let the cost of a hotdog be h and pretzel be p.
Set up equations as per question:
3h + 2p = 7.52h + 4p = 7Divide the second equation by 2, then subtract from the first one:
3h + 2p - 2h/2 - 4p/2 = 7.5 - 7/23h - h = 7.5 - 3.52h = 4h = 2Now find the value of p:
3*2 + 2p = 7.56 + 2p = 7.52p = 1.5p = 0.75Hotdog costs $2 and pretzel costs $0.75.
Eve has been keeping an eye on an emerald ring she likes. Its original price was $1,730. After
being marked down for a clearance sale, it is now $1,038. By what percent has the price of the
ring gone down?
40 percent price of the ring gone down due to a clearance sale
What is percent value?
In mathematics, percent implies a relative value of any quantity. Generally, percent value expresses the hundredth parts of any given quantity. Sometimes, operator % is used to indicate a percent value.
From a given percent value we can determine the real value and percent value is calculated from the original data.
What is the percent value of the ring that gone down?
given, the original price of the emerald ring = $1730
after a clearance sale, the price of ring became = $1038
difference in price = $(1730-1038) = $ 692
hence, the price of the ring that gone down = $692
now, percent value of the price gone down = $692/$1730 × 100
= 40%
hence, forty percent of the ring price gone down.
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What is the ratio for cos?
The ratio for cos (cosine) of angle θ is: cos(θ) = adjacent side of θ / hypotenuse
We know that in right triangle the cosine of an angle is nothing but the ratio of the side adjacent of given angle to the hypotenuse.
In right tirnagle for an angle θ, the ratio for cosine of angle θ would be:
cos(θ) = adjacent side of θ / hypotenuse
Consider following right triangle PQR with angle PQR = 90 degrees
Here, PR is the hypotenuse.
Assume that angle QPR measure α degrees and angle PRQ measures θ degrees.
By definition of cosine of angle θ,
cos(θ) = adjacent side of θ / hypotenuse
cos(θ) = QR / PR
And by definition of cosine of angle α,
cos(α) = adjacent side of α / hypotenuse
cos(α) = PQ / PR
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How to know if an equation is factorable using discriminate
On solving the provided question we can say that - here in equation we have [tex]y = 160+ 2 *t= > y = 160 + 2X 30 = > y= 160+ 60 = > y = 220 pounds[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]
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A
70°
B
E
30
What angle relationship describes angles CBE and DEB?
[tex]\angle CBE[/tex] and [tex]\angle DEB[/tex] are same-side interior angles.
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale
the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale is 4√5
What is altitude Class 9?
The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.
In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.
Let's call it x
According to Euclidean theorem x^2 = 5×16
x^2= 80 and
x = 4√5
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