If the scale factor of Figure A to Figure B is 3:8, find the value of x.

If The Scale Factor Of Figure A To Figure B Is 3:8, Find The Value Of X.

Answers

Answer 1

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]

Upon substituting the ratio between figure A and figure B, we will get:

[tex]\frac{3}{8}=\frac{x}{24}[/tex]

[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]

[tex]\frac{3}{1}\cdot 3=x[/tex]

[tex]9=x[/tex]

Therefore, the value of x is 9.

Answer 2

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of [tex]x[/tex] is 9.

Given:

The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].

Write the equation for proportion.

[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]

Apply the cross multiplication rule.

[tex]3\times24=8\times x[/tex]

Further solve for the [tex]x[/tex].

[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]

Thus, the value of [tex]x[/tex] is 9.

Learn more about proportion here:

https://brainly.com/question/21126582


Related Questions

What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

8^2 + x^2 = 10^2

64 + x^2 = 100

x^2 = 36

x = 6 (-6 can't be a length)

Answer:

The Answer Is 6

Step-by-step explanation:

By Pythagoras Theorem

(AC)^2 = (AB)^2 + (BC)^2

(AB)^2 = (AC)^2 - (BC)^2

(AB)^2 = (10)^2 - (8)^2

(AB)^2 = 100 - 64

(AB)^2 = 36

(AB) = 6

AB = X = 6

Mike has 9 lollipops, 6 peanut butter cups and 3 pieces of chocolate. If he divides the candy equally into 3 bags, how many pieces of candy will be in each bag?

Answers

Answer:

6

Step-by-step explanation:

per bag

9/3=3 lollipops

6/3=2 peanut butter cups

3/3=1 chocolate

then add them together to get 6

Answer: 6 pieces of candy

Step-by-step explanation:

Assuming lollipops, peanut butter cups, and chocolate are wanted in 3 bags, we would add all the candy together.

9+6+3=18

We have a total of 18 candies. Since we have to split the candy into 3 bags, you would divide 18 by 3.

18/3=6

There will be 6 pieces of candy in each bag.

simplify 11 to the power of negative 4 over 11 to the power of 8

1. 1 over 11 to the power of 12
2. 1 over 11 to the power of 4
3. 11 to the power of 4
4. 11 to the power of 12

Answers

Answer:

1. 1 over 11 to the power of 12

Step-by-step explanation:

[tex] \huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\ \\ \huge = \frac{ 1}{ {(11)}^{8 + 4} } \\ \\\huge = \frac{ 1}{ {(11)}^{12} } [/tex]

Your bill at a register is $153.60. Which would be better for you: A 15% off coupon or a $20 off coupon?

Answers

Answer:

is this what your looking for?

Step-by-step explanation:

Answer:

!5%

Step-by-step explanation:

identify the solution to the system of equations

Answers

Answer:

(-2, -1).

Step-by-step explanation:

When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.

In the graph pictured, we can see that the two equations intersect at (-2,-1).

Please help me now plz

Answers

Answer:

263

Step-by-step explanation:

remember the square is 90

someone solve this please

Answers

They're same side interior angles because since it's a parallelogram, the lines are parallel, and in this case, AB and CD are the parallel lines, AD is the transversal, and therefore, x and 115 are same side interior.

Same side interior angles are supplementary so x + 115 = 180

x = 180 - 115 = 65

65 degrees

a) 7.7 ft
b) 13.4 ft
c) 10.3 ft
d) 12.3 ft

Answers

Answer:

D. 12.3 ft

Step-by-step explanation:

This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.

cos(40°)=a/16

cos(40°)×16=a/16×16

cos(40°)×16=a

a=12.256 ft

The length of side a is D. 12.3 ft.

The volume of a cube is 460cm3.
Work out the length of its side rounded to 1 DP.

Answers

The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7

need help !! 25 points ​

Answers

Answer:

B

Step-by-step explanation:

which graph shows the solution to the following inequality. -5c+2<27

Answers

Step-by-step explanation:

Step 1:  Subtract 2 from both sides

[tex]-5c + 2 - 2 < 27 -2[/tex]

[tex]-5x < 25[/tex]

Step 2:  Divide both sides by -5

[tex]-5x / -5 < 25 / -5[/tex]

[tex]x > -5[/tex]

Answer:  [tex]x > -5[/tex]

Answer:

c > -5

Step-by-step explanation:

-5c+2<27

-5c < 25

Switch sides

-25 < 5c

-5 < c

c > -5

If you help me get this right i will give you brainly, and 5 stars!

Answers

Answer:

Column A: Domain: B: -6, -3, -2, 0, 2, 3, 5, 8

Column A: Range: A: -2, -1, 9, 2, 3

Step-by-step explanation:

We can derive these answers by looking at the x and y values of each dot. The Domain is represented by the x values, and the Range is represented by the y values.

The answers chosen contain the x and y values that the graph represents.

The public library has volunteers shelve books after they have been returned. When Lisa arrives to volunteer, there are 5 non-fiction books for every 9 fiction books. If there are 117 fiction books to shelve, then how many non-fiction books need to be shelved?

Answers

Answer:

65 non-fiction books need to be shelved

Step-by-step explanation:

This question can be solved using a rule of three.

For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?

5 non-fiction - 9 fiction

x non-fiction - 117 fiction

[tex]9x = 5*117[/tex]

[tex]x = \frac{5*117}{9}[/tex]

[tex]x = 65[/tex]

65 non-fiction books need to be shelved

Answer:

52

Step-by-step explanat

because 117 -56-9=52

Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "=" for < or ">=' . will give brainliest for the correct answer ​

Answers

Answer:

[tex]\displaystyle y > \frac{1}{4} x+1[/tex]

Step-by-step explanation:

To find the inequality of the shaded area which passes through points (-4, 0) and (4, 2), first we need to find the equation of the line.

To find the equation that passes through (x₁, y₁) and (x₂, y₂), we use this formula:

[tex]\boxed{\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} }[/tex]

Given:

[tex](x_1,y_1)=(-4,0)[/tex][tex](x_2,y_2)=(4,2)[/tex]

Then:

[tex]\begin{aligned}\frac{y-y_1}{y_2-y_1}&=\frac{x-x_1}{x_2-x_1}\\\\\frac{y-0}{2-0}&=\frac{x-(-4)}{4-(-4)}\\\\\frac{y}{2}&=\frac{x+4}{8}\\\\y&=\frac{1}{4}x+1 \end{aligned}[/tex]

Now, we look at the line in the graph. Since the line is a dotted line, which means that the line is excluded from the shaded area. Then we can only use < or > for the inequality (instead of ≤ or ≥).

Finally, we look at the shaded area. Since the area is above the line, which means the y-value of the area is larger than the y-value of the equation (line), then we will use the larger than sign (>) and the answer will be:

[tex]\displaystyle y > \frac{1}{4} x+1[/tex]

How do I solve for e?
9e+4=-5e+14+13e

Answers

Answer: e = 10

Step-by-step explanation: 9e + 4 = -5e + 14 + 13 e

Now lets bring the variables and numbers on a different side

Remember that when the numbers go to the other side the sign changes

so 4 - 14 = -9e + 13e -5e

-10 = -e

10 = e

if plug in both equations on a graph then you will see that when e = 10 the lines meet at 94.

Answer:

[tex]e=10[/tex]

Step-by-step explanation:

[tex]9e+4=-5e+14+13e[/tex]

Simplify both sides by combining [tex]-5e+13e[/tex] :

[tex]9e+4=8e+14[/tex]

Isolate the variable e. Subtract  8e from both sides:

[tex]9e-8e+4=8e-8e+14\\\\e+4=14[/tex]

Subtract 4 from both sides:

[tex]e+4-4=14-4\\\\e=10[/tex]

:Done

Dimensions of a building are 225
feet by 125 feet. If 1 inch
represents 10 feet, what are the
dimensions of the building on the
drawing?

Answers

Answer:

divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in

if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in

Read more on Brainly.com - https://brainly.com/question/12218401#readmore

Step-by-step explanation:

Final answer:

The building's dimensions would be 22.5 inches by 12.5 inches on the drawing when the scale of 1 inch represents 10 feet.

Explanation:

The dimensions of the building you have mentioned are 225 feet by 125 feet. Given the scale of 1 inch represents 10 feet, we can calculate the dimensions of the building on the drawing by dividing each dimension of the building by the scale factor.

So, for the first dimension: 225 feet divided by 10 (scale factor) equals 22.5 inches. For the second dimension, 125 feet divided by 10 equals 12.5 inches.

Therefore, the dimensions of the building on the drawing would be 22.5 inches by 12.5 inches.

Learn more about Scale Conversion here:

https://brainly.com/question/29011258

#SPJ11

There are 30 chocolates in a box, all identically shaped. There are 11 filled with nuts, 10 with caramel and 9 are solid chocolate. You randomly select one piece, eat it and then select a second piece. What is the probability of selecting two solid chocolates in a row?

Answers

Answer:

I think the answer is 4 1/2 out of 30 chance.

Step-by-step explanation:

Final answer:

The probability of selecting two solid chocolates in a row is 4/145.

Explanation:

To calculate the probability of selecting two solid chocolates in a row, we need to consider the probability of selecting a solid chocolate on the first draw and the probability of selecting a solid chocolate on the second draw, given that a solid chocolate was selected on the first draw.

There are a total of 30 chocolates, with 9 solid chocolates. Therefore, the probability of selecting a solid chocolate on the first draw is 9/30.

After eating the first chocolate, there are now 29 chocolates left in the box, with 8 solid chocolates remaining. So the probability of selecting a second solid chocolate is 8/29.

Since the two events are independent, we can multiply the probabilities of each event to find the probability of both events occurring:

Probability of selecting two solid chocolates = (9/30) * (8/29) = 4/145.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ2

Find the area of kite ABCD *
Captionless Image
22 sq cm
36 sq cm
72 sq cm
386 sq cm
None of the above

Answers

Answer:

36 sq cm

Step-by-step explanation:

area of kite = diagonal1 * diagonal2/2

area = 18 cm * 4 cm / 2

area = 72 sq cm/2

area = 36 sq cm

Please help me now plz
I will mark you brainliest

Answers

Answer:

  1229 km

Step-by-step explanation:

The missing angle is ...

  180° -60° -75° = 45°

Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.

  ?/sin(75°) = 900 km/sin(45°)

  ? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km

The UFO is about 1229 km from KA-12.

2. Find the mean, median, mode and range of the following numbers.
9, 16, 18, 16, 18, 20, 18, 12, 18, 10, 19, 18

Answers

Answer:

mean-175.5

median-18

mode-18

range-11

Step-by-step explanation:

Answer:

(mean 175.5) (median 18) (mode 18) (range 11)

Step-by-step explanation:

yo someone please do this for me

Answers

Answer:

20

Step-by-step explanation:

160+160= 320

320-360=40

40/2=20

Answer:

URS = 20°

Step-by-step explanation:

Angle URS is supplementary to angle TUR because they are consecutive angles.

If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll a 555?

Answers

Answer:

Assuming that the die has sides that are equal and that the sides are numbered 1 to 666 (since there are 666 sides), then the probability of rolling a 555 and flip a heads is 1/1,332.

Step-by-step explanation:

Probability of flipping a heads: 1/2

Probability of rolling a 555: 1/666

Multiply the two probabilities to get your probability for rolling both.

1/2 times 1/665 is 1/1,332.

Answer:

1/12

Step-by-step explanation:

Anya is making throw pillows and is choosing the type of filling and type of fabric pattern. Complete each statement below about the pillow options.

Answers

Answeer:4 for thr first question

Then 4 for the second and the last question is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLEASE HELP! 20 POINTS!! You have 1 1/2 Oranges, that’s 3/5 of an adult serving. How many oranges and/or orange pieces make up a full adult serving?

Answers

Answer:

4

Step-by-step explanation:

1 1/2 / 3/5=2 1/2

1 1/2 + 2 1/2=4

A parallelogram has an area of x2+ 9x− 36.

a.What are expressions for the length and width of the parallelogram?

b.If x is an integer, what is the least possible value of x for a parallelogram to exist? Explain.

Answers

Answer:

a) Length [tex]x + 12[/tex], Width [tex]x - 3[/tex], b) [tex]x = 3[/tex]

Step-by-step explanation:

a) The expressions for the length and width of the parallelogram can be determined by factorizing the polynomial:

[tex]A = x^{2} + 9\cdot x - 36[/tex]

[tex]A = (x+12)\cdot (x-3)[/tex]

Length

[tex]x + 12[/tex]

Width

[tex]x - 3[/tex]

b) Since area is a positive variable, the set of solutions encompass all values of x such that area is zero o greater. Then, there are two interval where A is positive:

- When both binomials are negative.

[tex]x \leq 3[/tex] and [tex]x \leq -12[/tex]

[tex]x \leq -12[/tex]

- When both binomials are positive.

[tex]x \geq 3[/tex] and [tex]x \geq -12[/tex]

[tex]x \geq 3[/tex]

Since x is an integer, x must be positive and therefore the least possible value of x is:

[tex]x = 3[/tex]

The volume of the sphere is
500
- cubic units.
3
What is the value of x?
4 units
5 units
8 units
O 10 units

Answers

complete question:

The volume of the sphere is 500/3 π cubic units. What is the value of x?  

x = radius

Answer:

x = 5 units

Step-by-step explanation:

The volume for a sphere can be represented as follows

volume = 4/3πr³

volume = 500/3 π

x = radius

volume = 4/3πx³

500/3 π = 4/3 × π × x³

multiply both sides by 3/4

500/3 × π × 3/4 = π × x³

125π = πx³

divide both sides by π

x³ = 125π/π

x³ = 125

cube root both sides

x³ = ∛125

x = 5 units

Fill in the blank: 8 feet = __________ inches

Answers

Answer:

96

Can I have brainliest

Step-by-step explanation:

Answer:if they are 12 inches on a feet the equation will be 12x8=is 96

so they are 96 inches on 8 feet

An employee's salary went up from $14 to $16.50. By how many percent did it increase? Round off your answer to the nearest percent.
A.15%
B.18%
C.85%

Answers

Answer:

B 18%

Step-by-step explanation:

14 times .18 or 18% is 2.52. add that to 14 for 16.52 which is the closest to 16.50

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 8 meters cubed. Yolanda found the volume of the sphere.


Her work is shown below.


V = four-thirds (8) cubed.

V = four-thirds (512).

V = StartFraction 2,048 Over 3 EndFraction meters cubed.


What is Yolanda’s error?

A) Yolanda should have found the volume by multiplying 8 by Two-thirds.

B) Yolanda should have found the volume by multiplying 8 by Four-thirds.

C) Yolanda should have found the volume with the formula V = two-thirds pi (8) cubed.

D) Yolanda should have found the volume with the formula V = two-thirds (8) cubed.

Answers

The correct answer is B) Yolanda should have found the volume by multiplying 8 by Four-thirds.

Yolanda incorrectly used the formula for volume of a sphere instead of the correct formula. The volume of a sphere is V = (4/3)πr³, not V = four-thirds(8) cubed.

By using the correct formula, Yolanda should have multiplied 8 by four-thirds to find the volume of the sphere, resulting in a different value.

Trinity takes a sample of 50 songs and finds that 20 are by a female artist. Based on this problem, which of the following is a 99% confidence interval for the proportion of songs on her phone by a female artist?

Answers

Answer: (0.2215, 0.5785)

Step-by-step explanation:

Given, Trinity takes a sample of 50 songs and finds that 20 are by a female artist.

Let p be the proportion of songs on her phone by a female artist.

Then , the 99% confidence interval for p would be :-

[tex]\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]  ...(i)

As per given , Sample size : n= 50

Sample proportion of songs on her phone by a female artist. [tex]\hat{p}=\dfrac{20}{50}=0.4[/tex]

For 99% confidence level , critical z-value =2.576

Substituting values in (i), we get

[tex]0.4\pm 2.576(\sqrt{\dfrac{0.4(1-0.4)}{50}})\\\\=0.4\pm 2.576\sqrt{0.0048}\\\\\approx0.4\pm0.1785\\\\=(0.4-0.1785,\ 0.4+0.1785)\\\\=(0.2215,\ 0.5785)[/tex]

Hence, a 99% confidence interval for the proportion of songs on her phone by a female artist : (0.2215, 0.5785)

Other Questions
4(6p+9y) Can some one plz help me with this than when u are done with the first question do the second one plz ill give u 35 points but has to be a real correct answer.The second question is-5(4s+5k) An electrically neutral atom has 11 protons. How many electrons will it have orbiting around its nucleus? What is the total surface area of the solid? A rectangular prism with a length of 16 millimeters, width of 11 millimeters, and height of 10 millimeters. A triangular prism with a triangular base with a base of 11 millimeters and height of 8 millimeters. The prism has a height of 16 millimeters. 1004.4 square millimeters 1114.4 square millimeters 1290.4 square millimeters 1466.4 square millimeters 3. Explain how the necessary and proper clause grants the federal government additional powers andprovide an example. (p. 5) The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle in inches, which equation can be used to find its value? x + 6 + 2x = 28 6x + 6x + x + x = 28 2(x + 6) = 28 2(x + 6) + 2x = 28 True or false all quadrilaterals are parallelograms Which of the following would you recommend to your friend about mortgages to save the most money?get the longest loan possible at the highest interest rateget the shortest loan possible at the lowest interest rateget the longest loan possible at the lowest interest rateget the shortest loan possible at the highest interest rate Please help me answer this its timed! After a bill has been passed by both houses of Congress it A)becomes a law. B)is sent to the President. C)returns to the house of origin for verification. D)is sent to a subcommittee in the House or Senate. Six words have 2 vowels and 2 consonants .How many letters are there in 6 words?How many vowels consonants In a pipe closed at one end and filled with air, a 384-Hz tuning fork resonates when the pipe is 22 cm long; this tuning fork does not resonate for any smaller pipes. a. State three other lengths at which this pipe will resonate with the 384-Hz tuning fork. b. The end of the pipe that was closed is now opened, so that the pope is open at both ends. Describe any changes in the lengths of pipe that will resonate with the 384-Hz tuning fork. c. The air in the closed pipe is replaced with helium. Describe an experiment that would use the pipe to determine the speed of sound in helium. Tristan's fish tank is yard long, yard wide, and yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be? The Louvre Pyramid is a metal and glass structure that serves as the main entranceto the Louvre Museum in Paris, France. The pyramid has a volume of 8820 cubic meters.The base is a square with sides that are 35 meters long.Calculate the surface area of the Louvre Pyramid. What is the pH of a solution with [H+]=6.2x10-9 M? In his conclusion, Lincoln tries to explain once again why the Civil War is important to the nation and what the Union is fighting to protect. In Lincolns view, what result would mean that the soldiers who died at Gettysburg did not die in vain? the Civil War ending with no winner the Union winning the Civil War the war ending peacefully with a Confederate victory We here highly resolve that these dead shall not have died in vain that this nation, under God, shall have a new birth of freedom and that government of the people, by the people, for the people, shall not perish from the earth. In this reading: Resolve means declare with determination In vain means for nothing Perish means be destroyed Joe wants to buy a skateboard but he doesn't know if he has enough money. The price of the skateboard is $85 and the sales tax is 6%. What will be the total cost of the skateboard? Why did one-half of the Moon's surface remainhidden from human sight until the era of spaceprobes, which started in 1959? How is the civil rights era of the 1950s and 1960s described? Where was the most conflict of the Chinese revolution? Why? Which statement gives the strongest evidence to support this claim? Steam Workshop Downloader