Solve for x show proofs

Solve For X Show Proofs

Answers

Answer 1

The value of x in the triangle is 6√5

How to determine the value of x

from the question, we have the following parameters that can be used in our computation:

The triangle

Using the above as a guide, we have the following:

x/20 = 9/x

Cross multiply the equation

so, we have the following representation

x^2 = 180

TAke the square root of hoth sides

This gives

x = 6√5

Hence, the solution of x is  6√5

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Related Questions


Rolando is making buttons that are shaped like circles. Each button has an area of 36 square centimeters. Which measurement shows
the circumference of each of the buttons in centimeters?
Answer
A 113.1 cm
B 18.8 cm
C56.5 cm
D 37.7 cm

Answers

A measurement that shows the circumference of each of the buttons in centimeters is: D. 37.7 cm.

How to calculate the area of a circle?

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circle = πr²

Where:

r represents the radius of a circle.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of a circle = πr²

36π = π × r²

Radius, r = √36

Radius, r = 6 centimeters.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

Circumference of a circle = 2πr

Circumference of a circle = 2 × 3.14 × 6

Circumference of a circle = 37.7 cm.

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Complete Question:

Rolando is making buttons that are shaped like circles. Each button has an area of 36π square centimeters. Which measurement shows the circumference of each of the buttons in centimeters?

Answer

A 113.1 cm

B 18.8 cm

C56.5 cm

D 37.7 cm

If a cuboid weighs 100N has sides 5cm by 10cm. Find the area of the cuboid

Answers

If a cuboid weighs 100N and has sides 5cm by 10cm, then the area of cuboid is 0.005m².

Weight of the cuboid = 100N

Sides of the cuboid = 5cm by 10cm

A solid structure or a three-dimensional shape in geometry is called a cuboid. It is similar to a cube in that a cuboid can become a cube by changing the angles between faces or the lengths of the edges. A convex polyhedron with the same polyhedral graph as a cube is referred to as a cuboid in mathematics.

Calculating the area of the Cuboid -

= 5cm × 10cm

= 50cm²

Converting -

Area of Cuboid

= 50/10000 m²

= 0.005 m²

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If
D=1−s^2 −s and C=3+3s, find an expression that equals 2D−3C in standard form.​

Answers

The expression that equals 2D−3C in standard form is -2s² - 11s - 7

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of coefficients, variables, terms,  factors and constants.

From the information given, we have that;

D=1−s^2 −s and C=3+3s,

To determine the expression for 2D - 3C

substitute the values of the expressions, we get;

2(1-s² - s) - 3(3 + 3s)

expand the bracket

2 - 2s² - 2s - 9 -9s

collect the like terms or factors, we get;

-2s² - 2x - 9s - 9 + 2

Add or subtract the values

-2s² - 11s - 7

Hence, the expression is -2s² - 11s - 7

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What is the exact volume of a cylinder with a height of 5 feet and a radius of 2 feet? ​

Answers

Answer:

V = 62.83ft

Step-by-step explanation:

V≈62.83ft³

I hope it helped you out.

For some value of b, the expression 3(5x - 1) + b(2x - 7) is a constant. What is the constant?

Answers

The value of the expression as a constant is 49.5

How to determine the constant

From the question, we have the following parameters that can be used in our computation:

3(5x - 1) + b(2x - 7)

For the expression to be a constant, the following must be true

b(2x) = -3(5x)

Divide by x

b(2) = -3(5)

Divide by 2 and remove bracket

b = -7.5

Substitute the known values in the above equation, so, we have the following representation

3(5x - 1) -7.5(2x - 7)

So, we have

15x - 3 - 15x + 52.5

Evaluate the like terms

49.5

Hence, the constant is 49.5

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Put brackets into this calculation to make it correct.
6 x 1.5 + 4.9 x 4 = 55.6

Answers

Answer:

(6 x 1.5 + 4.9) x 4 = 55.6

Step-by-step explanation:

The table shows the top running speed for a giraffe and a zebra which animal can run faster?show you work

Answers

Based on the distance covered by Zebra and Giraffe in mentioned time, the Zebra can be said to run faster.

Firstly, the question requires a candidate to be familiar with the concept of speed. We know that speed is associated with distance and time as -

Speed = distance/time

So, taking the case for Giraffe

Speed = 280/20

Performing division

Speed = 14 m/s

Taking the case of Zebra

Speed = 204/12

Performing division

Speed = 17 m/s

We see that in unit time or one second, the distance covered by the two animals is different. The one covering larger distance comparatively will be said to run faster. So, zebra runs faster.

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The table of question is attached in the picture.

The number b is irrational. Which statement about
41+b is true?

Answers

An irrational number is created by adding two rational numbers, according to the answer to the given question. If the oppositely irrational numbers a and b.

What is rational numbers?

Rational numbers are those that may be written as a ratio (or fraction) of two integers. A fraction with a non-zero denominator is said to be rational.

A few instances of rational numbers are 1/2, 1/5, and 3/4. A rational number, “0,” can also be stated in a number of different ways, such as 0/1, 0/2, and 0/3. But 1/0, 2/0, 3/0, and so forth.

The number seven makes sense. A rational number is produced when two integers are split. To get the rational number 7, divide the whole number 7 by the whole number 1. Since 7 can be obtained by dividing two integers, it is referred to as a rational number.

Two rational integers added together yield an irrational number. Ab is irrational if and only if a and b are mutually exclusive irrational numbers.

Therefore, a = 2 and b = ab = 2 is an irrational number.

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The function machine at right
follows the equation h(x) = 5x + 2.

a. If the crank is turned backwards, what number should be pulled up into the machine in order to have a 4 come out of the top?

b. Keiko wants to build a new machine that will undo what h(x) does to an input. What must Keiko's machine do to 17 to undo it
and return a value of 3?

c. An "undo" function is called an inverse and has the notation h¹(a). Note that the -1 is not a negative exponent. It is the
mathematical symbol that indicates the inverse function of h(x). Write an equation for h ¹(x), the "undo" function machine.

d. Choose a value for z. Then find a strategy to show that your equation, h¹(x), undoes the effects of the function machine h(x).

Answers

Answer: C

Step-by-step explanation: An "undo" function is called an inverse and has the notation h¹(a). Note that the -1 is not a negative exponent. It is the

mathematical symbol that indicates the inverse function of h(x). Write an equation for h ¹(x), the "undo" function machine.

The population of McKinney is about 180,000. The population is increasing at an average rate of 8. 4

Answers

The population of McKinney after 2 years with an average growth rate of 8.4% will be approximately 210,099.76.

To calculate the population of McKinney after 2 years with an average growth rate of 8.4%, we can use the formula for compound interest:

[tex]P = P_0 * (1 + r/100)^t[/tex]

Where P0 is the initial population, r is the growth rate, and t is the number of years. In this case, P0 = 180,000, r = 8.4, and t = 2. Plugging these values into the formula, we get:

[tex]P = 180,000 * (1 + 8.4/100)^2[/tex]

[tex]P = 180,000 * 1.084^2[/tex]

[tex]P = 180,000 * 1.174996[/tex]

[tex]P = 210,099.76[/tex]

So, the population of McKinney after 2 years with an average growth rate of 8.4% will be approximately 210,099.76.

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The complete question is :

The population of McKinney is about 180,000. The population is increasing at an average rate of 8.4% . It's population after 2 years will be.

Write 60.9% as a decimal.




A. 0.0609

B. 0.609

C. 0.00609

D. 6.0900

Answers

Answer:

0.609

Step-by-step explanation:

convert to a fraction then convert to a decimal by dividing the numerator and denominator :)

Answer: B. 0.609

Explaination: By definition p%= p/100

60.9/100

Convert the fraction into a decimal

0.609

eighteen foot-pounds of work is required to stretch a spring 4 inches from its natural length. find the work required to stretch the spring an additional 3 inches.

Answers

The work required to stretch the spring an additional 3 inches is 10.125 foot-pounds.

We can use Hooke's law to find the force required to stretch the spring 4 inches from its natural length:

[tex]F = kx[/tex]

where F is the force in pounds, x is the displacement in inches, and k is the spring constant in pounds per inch (which we want to find).

Since 18 foot-pounds of work is required to stretch the spring 4 inches, we know that the work done is equal to the potential energy stored in the spring:

[tex]W = (1/2) k x^2[/tex]

Solving for k, we get:

[tex]k = (2W) / x^2[/tex]

Plugging in the values for W and x, we get:

[tex]k = (2 * 18) / (4^2) = 2.25[/tex]

So the spring constant is 2.25 pounds per inch.

Now we can use Hooke's law again to find the force required to stretch the spring an additional 3 inches:

[tex]F = kx[/tex]

= [tex]2.25 * 3[/tex]

= 6.75 pounds

Finally, we can find the work required to stretch the spring an additional 3 inches:

[tex]W = (1/2) k x^2[/tex]

= [tex](1/2) * 2.25 * 3^2[/tex]

= 10.125 foot-pounds

Therefore, the work required to stretch the spring an additional 3 inches is 10.125 foot-pounds.

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A helium tank shaped like a cylinder has 2,401π in3 of space inside the tank. If the diameter of the helium tank is 14 inches, what is its height?
49 inches
28 inches
12.25 inches
7 inches

Answers

A helium tank shaped like a cylinder has 2,401π in³ of space inside the tank. If the diameter of the helium tank is 14 inches,  its height is 1 inch.

What is Volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or a region of space. It is usually measured in units such as cubic meters (m³), cubic centimeters (cm³), cubic inches (in³), or liters (L).

For a solid object, such as a cube, cylinder, or sphere, volume is calculated by measuring the length, width, and height of the object and using a formula that is specific to that shape. For irregularly shaped objects, such as rocks or trees, volume can be determined by using techniques such as water displacement.

The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

In this case, we are given the diameter of the cylinder, which is 14 inches. The radius of the cylinder is half of the diameter, so r = 7 inches.

We are also given the volume of the cylinder, which is 2,401π cubic inches.

Using the formula for the volume of a cylinder, we can set up the following equation:

2,401π = π(7)²h

Simplifying this equation, we get:

2,401 = 49h

Dividing both sides by 49, we get:

h = 49/49 = 1

Therefore, the height of the helium tank is 1 inch.

However, this answer seems unlikely since the height of the tank should be greater than its radius. Therefore, there may be an error in the given volume or diameter of the tank.

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the answer is A its height is 49

Sanjay made cookies for a bake sale and has tracked his sales by cookie shape. cat 36 star 14 dog 35 Considering this data, how many of the next 51 cookies sold should you expect to be in the shape of a dog?

Answers

The number of cookies sold that would be in the shape of the dog in the next 51 cookies is 21.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

The probability of cookies sold in shape of dog is:

P = 35/85

The number of cookies sold that would be in the shape of the dog in the next 51 cookies is:

N = 51 (P)

N = 51 (35/85)

N = 21

Hence, the number of cookies sold that would be in the shape of the dog in the next 51 cookies is 21.

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Gina Wilson unit 5 : homework 6: Slope-Intercept Form

Answers

The slope-intercept form of the equation of the line is y = x + 6.

What is an equation of the line?

A linear equation with a degree of one is referred to as an equation of the line. Two variables, x, and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation.

The equation of the line's general form is:

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The formula for calculating the line's slope is

Slope = ( 6 - 4) / ( 2 - 0)

Slope = 1

The y-intercept will be calculated as:-

y = mx + c

y = x +c

6 = c

The equation of the line can be written as:-

y = x + 6

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3
David and Alec are comparing the international calling plans on their cell phones. On his plan,
David pays $4 just to place a call and $1 for each minute. When Alec makes an international
call, he pays $1 to place the call and $2 for each minute. A call of a certain duration would
cost exactly the same under both plans. What is the duration?
Write a system of equations, graph them, and type the solution.

Answers

The duration of the call for the same cost is, 3 minutes.

A system of equations, y = 4 + x

                                       y = 1 + 2x

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

Let's let t be the duration of the call in minutes.

Then, the cost of the call under David's plan would be:

4 + t

And the cost of the call under Alec's plan would be:

1 + 2t

Since the costs are the same, we can set these two expressions equal to each other and solve for t:

4 + t = 1 + 2t

Simplifying and solving for t, we get:

t = 3

Therefore, a call of 3 minutes duration would cost exactly the same under both plans.

To graph the system of equations, we can plot the two expressions for the cost of the call on the y-axis and the duration of the call on the x-axis. The two equations are:

y = 4 + x

y = 1 + 2x

Plotting these two lines on the same graph, we get:

The solution is the point where the two lines intersect, which is (3, 7). This confirms that a call of 3 minutes duration would cost exactly the same under both plans, and the cost would be $7.

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the graph of a line goes through the points (-2, -3) and (2, -1). which linear equation represents this line?

Answers

The linear equation of the line which passes through the points (-2, -3) and (2, -1) is:

   y + 3 = 0.5 (x + 2)

What is meant by a linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation is a straight line equation.

It is of the form: y = mx + c

where m = slope of the line

c = x-intercept of line.

The linear equation of a line is:

y - y₁ = m ( x - x₁)

Given two points on the line

(x₁ , y₁) = (-2, -3)

(x₂ , y₂) = (2, -1)

m = slope of line =  (y₂ - y₁) / (x₂ - x₁) = (-1 - (-3)) / (2 - (-2)) = 2/4 = 1/2

Now substituting this value in the general equation, we can write the equation as:

y - (-3) = 1/2 ( x -(-2))

y + 3 = 0.5 (x + 2)

Therefore the linear equation of the line which passes through the points (-2, -3) and (2, -1) is:

   y + 3 = 0.5 (x + 2)

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Which values from the specified set make up the solution set of the inequality? 5w–10>20 ; {5,6,7,8} Select each correct answer. Responses 5 5 6 6 7 7 8 8 I WILL GIVE BRAIN THINK JUST HELP HURRY PLEASE

Answers

Answer:

Step-by-step explanation:

10

compatible numbers are used to estimate this sum. 181 204 which estimate is the most accurate? responses 350 350 375 375 425 425 450

Answers

The most accurate estimated sum of 181 and 204 is 380

The given numbers are 181 and 204

The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.

To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation

Round 181 to the nearest tens = 180

Round 204 to the nearest tens = 200

Then the sum of compatible numbers will be

180 + 200 = 380

Therefore, the most accurate estimation is 380

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Similar Triangles Question

Solve for x and determine the scale factor. Notice the change in angles.
X = _____
Scale Factor = _____
Write the answer as a decimal.
Example: 0.3. Must have a 0.

Answers

For the given similar triangles, the value of x is 3 and the scale factor is 1/2. This is found using properties of similar triangles.

What is meant by similar triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. The ratio of the triangles' matching sides is known as the scale factor. The scale factor has no theoretical upper bound, and any ratio between the corresponding sides (not angles) of related triangles is possible.

Given the triangles, ΔAEB and ΔDEC are similar.

Since they are similar triangles,

∠EAB = ∠DCE ( alternate angles)

∠ABE= ∠CDE (alternate angles)

AB = DC (Given)

According to the properties of similar triangles,

AE/EC = BE/ED

4/2 = 6/X

X = 3

Scale factor = ratio of corresponding sides = EC/AE = 2/4 = 1/2

Therefore for the given similar triangles, the value of x is 3 and the scale factor is 1/2.

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3 of 93 of 9 questions question terry has won 18 of 35 chess games. sandra has won 24 of 36 chess games. terry wants to know how many of the remaining games she would have to win for her winning percentage to be greater than sandra's, given that sandra doesn't win any more games. let x represent the number of games remaining, and let y represent the number of games terry needs to win. which inequality represents this situation? responses 18 y35 x>2436 x 18 y35 x>2436 x 35 y18 x>2436 x 35 y18 x>2436 x 18 y35 x>36 x24 18 y35 x>36 x24 18 x35 x>2436 x

Answers

The inequality that represents this situation is y - 2x > 16.

Let's start by finding Terry's current winning percentage:

Terry's current winning percentage = 18/35 = 0.5143 (rounded to 4 decimal places)

We want to find out how many of the remaining games Terry needs to win for her winning percentage to be greater than Sandra's winning percentage, given that Sandra doesn't win any more games. Sandra's current winning percentage is:

Sandra's current winning percentage = 24/36 = 0.6667 (rounded to 4 decimal places)

Let x be the number of remaining games and y be the number of games Terry needs to win. Since there are a total of x remaining games and Terry wins y of them, she will have won a total of 18 + y games out of 35 + x games. Therefore, her winning percentage after winning y of the remaining games would be:

(18 + y) / (35 + x)

We want this winning percentage to be greater than Sandra's winning percentage:

(18 + y) / (35 + x) > 24/36

Multiplying both sides by 36(35 + x), we get:

36(18 + y) > 24(35 + x)

Simplifying the left-hand side:

36(18 + y) = 648 + 36y

Simplifying the right-hand side:

24(35 + x) = 840 + 24x

Substituting these simplifications back into the inequality, we get:

648 + 36y > 840 + 24x

Simplifying:

12y - 24x > 192

Dividing both sides by 12:

y - 2x > 16

Therefore, the inequality that represents this situation is:

y - 2x > 16

So Terry needs to win more than twice as many remaining games as the number of games Sandra has won more than her in order to have a winning percentage greater than Sandra's winning percentage.

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Jamie burned 480 calories in an exercise
class on Monday. She took a different class
the next day and burned 7/8 as many
calories as she did on Monday. How many
calories did she burn on Tuesday?

Answers

Answer: Jamie burned 420 calories on Tuesday

Step-by-step explanation:

Cross method is best for this question

Let x = calories burnt on tuesday
480 is 100%
x is 7/8 (or 87.5%)


(480*87.5%) ÷ 100%
= 420 ÷ 100%
= 420

Therefore, Jamie burned 420 calories on Tuesday


Hunter, Trace, and Jacob were adding up their ages. The total was 49, If Hunter is 3 years older than Trace, and Jacob is twice Hunter's age. What are the ages of the three boys?​

Answers

Answer:

Step-by-step explanation:

Let's say Trace's age is "x".

Then, Hunter's age would be (x+3)

And Jacob's will be 2*(x+3)

The Total of three ages would be

x+(x+3)+2*(x+3)=49

4x+9=49

4x=40    

x=10

So Trace is 10 years old

     Hunter is 13 years old

     Jacob is 26 years old.

A___is a numerical measure of the outcome of a probability experiment

Answers

An objective tally of the results of a probability experiment is called a random variable. It gives a number to each potential result of the experiment, and its values are decided by chance.

What exactly is probability?

How something is to Happen is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics defines series of events subject to probability.

The probability equation is what?

Always between 0 and 1 are the possible outcomes. Probability = Number of favourable outcomes / Total number of outcomes is how the general probability formula is written. Alternatively, P(A) = f / N.

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a person eating at a cafeteria must choose 3 of 19 vegetable on offer. calculate the number of elements in the sample space for this experiment

Answers

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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How do I do this? I need all these problems solved pls I really need help and don't care about the process as much but when you put the answers please just put the numbered question they go to

Answers

The missing sides of right triangles are, respectively:

Case 1: x = 18.910

Case 2: x = 23.584

Case 3: x = 15.890

Case 4: x = 16.659

Case 5: x = 24.111

And the angles of the right triangles are, respectively:

Case 6: 32°

Case 7: 31°

Case 8: 71°

Case 9: 71°

Case 10: 32°

The exact values of trigonometric functions:

Case 11: cos A = 12 / 13

Case 12: tan C = 3 / 4

Case 13: tan A = 3 / 4

And the trigonometric ratios of right triangles are:

Case 14: tan X = 1.3333

Case 15: sin A = 0.6000

Case 16: cos C = 0.3243

How to analyze right triangles by trigonometric functions

In this question we find 16 cases of right triangles that must be analyzed by trigonometric functions. Trigonometric functions is an important tool to determine missing sides and angles and relationships with sides. Most important trigonometric functions are described below:

sin θ = y / r

cos θ = x / r

tan θ = y / x

Where:

x, y - Legsr - Hypotenuse.

Please notice that hypotenuse is the longest side of a right triangle.

The first five cases implies the determination of missing lengths in five right triangles:

Case 1

x = 20 · cos 19°

x = 18.910

Case 2

x = 20 / cos 32°

x = 23.584

Case 3

x = 10 / cos 51°

x = 15.890

Case 4

x = 15 / tan 42°

x = 16.659

Case 5

x = 19 / sin 52°

x = 24.111

The following five cases implies the determination of angles by means of direct and inverse trigonometric functions:

Case 6

tan θ = 16 / 26

tan θ = 8 / 13

θ = 31.608° (32°)

Case 7

tan θ = 6 / 10

θ = 30.964° (31°)

Case 8

tan θ = 76 / 26

θ = 71.114° (71°)

Case 9

tan θ = 67 / 23

θ = 71.053° (71°)

Case 10

tan θ = 26 / 42

θ = 31.759° (32°)

The next three cases implies the computation of the exact values of trigonometric functions:

Case 11

cos A = 24 / 26

cos A = 12 / 13

Case 12

tan C = 24 / 32

tan C = 3 / 4

Case 13

tan A = 27 / 36

tan A = 3 / 4

And the last three triangles implies the values of trigonometric ratios:

Case 14

tan X = 36 / 27

tan X = 4 / 3 (1.3333)

Case 15

sin A = 30 / 50

sin A = 3 / 5 (0.6000)

Case 16

cos C = 12 / 37 (0.3243)

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The lengths of the sides, measures of the angles and the values of the trigonometric ratios are as follows;

1) x ≈ 18.9

2) x ≈ 23.1

3) x ≈ 15.9

4) x ≈ 16.7

5) x ≈ 23.1

6) x ≈ 32°

7) x ≈ 31°

8) x ≈ 71°

9) x ≈ 71°

10) x ≈ 32°

11) cos(A) ≈ 0.9

What are trigonometric ratios?

Trigonometric ratios are expressions that specify the relationships between two sides of a right triangle and an interior angle of the triangle.

1) The opposite side = 20 × sin(19°) ≈ 6.5

The adjacent side = 20 × cos(19°) ≈ 18.91

2) cos(30°) = 20/x

cos(30°) = (√3)/2, therefore;

(√3)/2 = 20/x

x = 20/((√3)/2) = 40·√3/3 ≈ 23.1

x ≈ 23.1

3) cos(51°) = 10/x

Therefore;

x = 10/(cos(51°)) ≈ 15.9

4) tan(42°) = 15/x

Therefore;

x = 15/(tan(42°)) ≈ 16.7

x ≈ 16.7

5) sin(52°) = 19/x

Therefore;

x = 19/(tan(52°))

x = 20/(cos(30°)) ≈ 23.1

x ≈ 23.1

6) tan(x) = 16/26

tan(x) = 16/26 = 8/13

x = arctan(8/13) ≈ 32°

7) tan(x) = 6/10

tan(x) = 6/10 = 3/5

x = arctan(3/5) ≈ 31°

8) tan(x) = 76/26

tan(x) = 76/26 = 38/13

x = arctan(38/13) ≈ 71°

9) tan(x) = 67/23

x = arctan(67/23) ≈ 71°

x ≈ 71°

10) tan(x) = 26/42

tan(x) = 26/42 = 13/21

tan(x) = 13/21

x = arctan(13/21) ≈ 32°

11) The trigonometric ratios for cosine indicates that we get;

cos(A) = 24/26 ≈ 0.9

12) Trigonometric ratio for tangent indicates that we get;

tan(C) = 24/32 = 0.75

13) tan(A) = 27/36

27/36 = 3/4

Therefore; tan(A) = 3/4 = 0.75

14) tan(x) = 36/27 = 4/3

tan(x) = 4/3 = 1 1/3

15) sin(A) = 30/50 = 3/5

sin(A) = 3/5 = 0.6

16) cos(C) = 12/37 ≈ 0.32

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Solve for xº:
ox
ox

Answers

Answer:

x=120

Step-by-step explanation:

sum of angles is 540

given two right angles which is 90

90+90=180

540-180=360

360/3=120

The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 24?

Answers

The percentage of the data values are greater than 24 is 75%.

What is a box-and-whisker plot?

A box and whisker plot is a special type of graph that is used to show groups of number data and how they are spread. It shows the median, which is the middle value of the numbers in your data, the lowest number, the highest number and the quartiles, which divides the data into four equal groups.

So as per the given question box-whisker plot represents some data set. There is a number 24 just corresponding to it there is a vertical line which shows that 24 is the first quartile of the data and here 24 is the 75th percentile.

It means that there is 75% values are greater than 24.

Therefore, the percentage of the data values are greater than 24 is 75%.

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A car traveled 18 miles on
of a gallon of gas. This means it traveled ___________ miles on ONE gallon of gas.

Answers

This means car traveled 18 miles on ONE gallon of gas.

How far does one gallon of fuel go?

You should get 20 to 30 miles per gallon of petrol on average when driving your car. Some automobiles, nevertheless, can go up to 60 miles per gallon. Your car's efficiency varies depending on a number of factors, including miles. Car weight, unsafe driving practices, the environment, and shoddy maintenance are a few of the contributing causes.

Vehicle mileage was x miles.

x miles of gasoline equals x gallons of fuel.

Gasoline consumption is inversely proportional with the distance driven by an automobile.

distance traveled by car  = K× Gasoline used  

Using unitary method,

Distance traveled by car in 1 gallon of gas  = 18 × 1 miles.

Distance traveled by car in 1 gallon of gas  = 18 miles

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Shopping Two friends shop for fresh fruit. Jackson buys a watermelon for $6.25 and 5 pounds of cherries. Tim buys a pineapple for $3.15 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.

Answers

Answer:44

Step-by-step explanation:44444444

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