The scale factor of two similar hexagons is 5:12. The smaller hexagon has an area of 24 square units. What is the area of the larger hexagon?

Answers

Answer 1

Answer: [tex]138.24\ \text{square units}[/tex]

Step-by-step explanation:

Given

The scale factor of two similar hexagons is 5:12.

The smaller hexagon has an area of 24 square units

we know, the ratio of two similar figures is equal to the square of the scale factor.

Suppose the area of the larger hexagon is A

[tex]\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}[/tex]


Related Questions

What is the unit rate of 28 miles in 4 hours?

Answers

Answer: 7 miles per hour

Step-by-step explanation:

This is a fraction equal to 28 miles divided by 4 hours.

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 4.

28 miles ÷ 4

____________

4 hours ÷ 4

= 7 miles

__________

1 hour

=

7 miles

_________

hour

= 7 miles per hour

Answer:

7 miles in 1 single hour

Step-by-step explanation:

28 / 4 = 7

21 / 3 = 7

14 / 2 = 7

7 / 1 = 7

easy question for anyone SLIGHTLY smarter than me pls help I don’t know how to do this

Answers

They make it all so complicated with all of the complex lines doing their own thing, though this is somewhat straight forward once you see it.

With the Domain, these are the x values that the line covers.

For this, it would be -5 ≤ x ≤ 4, because all of the x values are between these two values.

With the Range, these are the y values that the line covers.

For this, it would be -4 ≤ x ≤ 5, because all of the y values are between these two values.

With the X-Intercepts, these are the x values the line crosses for when the y value is 0.

For this, it would be -3 and -1.

With the max, it is the highest point within a graph, for where the y value is the greatest.

For this, it would be x = 4 at the coordinate (4, 5).

help me only answer if you know no links or ill report you

what is .5-6.7+1000

Answers

Answer:

993.8

Step-by-step explanation:

0.5 - 6.7 + 1000

1000.5 - 6.7

993.8

Answer:

993.8?

Step-by-step explanation:

please help me ill mark brainlest

Answers

Answer:

C

Step-by-step explanation:

Plz help meeee plz help

Answers

Answer:

The value of k would be [tex]\frac{1}{2}[/tex] also written as 0.5

Hope this helps!

Find the length of side x in simplest radical form with a rational denominator.
45°
X
45°
6

Answers

Answer:

square root 6

Step-by-step explanation:

Giving brainlist to whoever answers

Answers

The right answer is 13mm

Answer:

d

Step-by-step explanation:

Type SSS, SAS, ASA, SAA, or HL

to justify why the two smaller triangles are
congruent.

Answers

Answer:

Step-by-step explanation:

SSS po (side-side-side)

Help me
Compute The area of each figure below. include units in your answer. Decimals may be rounded to the nearest tenth.

Answers

Answer:

A = 135 sq in

Step-by-step explanation:

Area of parallelogram is base x height

A = 15(9)

A = 135 sq in

Find the sale price or selling price.
17. Original price: $15
Discount: 5%
Sale price:

Answers

Answer:

14.25

Step-by-step explanation:

So, lets go over our information.

We have a price of 15 dollars.

And it is 5% cheaper.

This means that the price is 95% of what it used to be.

We must find 95% of 15.

We know that to put 95% into decimal form, we must divide by 100:

95/100

=

0.95

So we know we must multiply 15 by 0.95:

15x0.95

=

14.25

So our price is now 14.25 dollars

hope this helps! :)

14.25
I’m not sure if this is right

Need help ASAP! What is this

Answers

180 - 64= 116

116 divided by 4 = 29

x=29

Have a good day:>

Answer:

x = 29

Step-by-step explanation:

Supplementary angles add up to 180 degrees:

4x+64 = 180

Subtract 64 from both sides:

4x+64-64 = 180-64

4x = 116

Divide both sides by 4:

4x/4 = 116/4

x = 29

y-3=5(x-2) what is the slope

Answers

Answer:

In y=mx+b form, m is the slope. In this case, m=5, therefore the slope is 5.

Help will award brainliest!!!!
IS THE ANSWER A?

Answers

Answer:

it is A becuase it passes through 0,0 and 5,5 the rest either pass through 5,5 but not 0,0 and B doesnt pass thorugh 5,5 but does pass thorugh 0,0 so its A

Step-by-step explanation:

What would be the algebraic rule for a dilation with a scale factor of 3?

Answers

Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.

Step-by-step explanation:

Solutions for y=-x^2-5x+12

Answers

Answer: y = -(x+5/2)^2+73/4

Step-by-step explanation:

13. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?

Answers

Answer:

6 is the answer

Step-by-step explanation:

Please help me find the missing side and show your work

Answers

Answer:

9 yards

Step-by-step explanation:

The Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

Where a and b are legs, and c is the hypotenuse.

The hypotenuse is the side opposite from the right angle in the right triangle.

The hypotenuse would be AC, measured 15 yards, because it is opposite from the right angle. BC, the unmeasured side would be a leg. I can call that the "b" leg and AB, the 12 yard side the "a" leg.

Substitute the measures into the theorem to get: [tex]12^2+?^2=15^2[/tex]

[tex]144+?^2=225 ; ?^2=81; ?=\sqrt{81} =9[/tex]

The ratio of lime juice to orange juice in a drink is 3:8. How much orange juice is used in 50 L of the mixture?

Answers

4 6/11 is the value of 1 part of the ratio (1). 13 7/11 of the muxture is orang juice, in litres.

Choices
A. 240 mm
B. 120 mm
C. 90 mm
D. 40 mm
Please help ASAP and no freaking linksss!!

Answers

If I remember correctly the perimeter of the pentagon is 8mm so each side is 8mm mending 5 x 8=40 the area within is 6 so that means 6x40=240 so A should be your answer

a wise man once said 400 reduced by 3 times his age=250

Answers

Answer:

71

Step-by-step explanation:

Which set of values is a function?

Answers

Answer:

(6,-5)

(7, -3)

(8, -1)

(9, 1)

Step-by-step explanation:

I'm guessing this is what your answer is by the specification of the question. If it's not, I'm sorry.

Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 85 square centimeters, find its length and width

Answers

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

Janet uses 4 feet of ribbon to decorate each pillow. The ribbon comes in 225-foot rolls. How many
pillows will she be able to decorate with one roll of ribbon? Will there be any ribbon left over?

Answers

Answer:

56 and there will be 1 foot of ribbon left over

Step-by-step explanation:

225/4=56.25

Find the area. The figure is not drawn to scale.

a
30 yd2
b
6.5 yd2
c
15 yd2
d
13 yd2

Answers

Answer:

The area if the triangle is 15 yd^2

Step-by-step explanation:

The formula to find the area if a triangle is base × height ÷ 2. So for this question it is 10×3÷2=15

which system of equations is represented by the graph?​

Answers

Answer:

the second one

Step-by-step explanation:

Pls help me I really need help for this question

Answers

Step-by-step explanation:

the correct answer is the third one

I need help pls show work dont just answer for the pts..

Answers

Answer:

volume = 24,501.42

Step-by-step explanation: the way i did it:

first find the radius, 34 divided by 2 = 17π

then multiply the radius by itself 17 x 17 = 289

after, multiply 289 by 27 to get 7,803

then multiply 7803 by 3.14 to get 24,501.42

Hope this is correct!

(p.s.) if you do it on a calculator and use the pi symbol (π) the answer would be 24,513.84

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

The slope is 1

Step-by-step explanation:

Take any two points from the graph and plug it into the equation y1-y/x1-x. I took the point (0,3) and (1,4). Plug these two points in to get 4-3/1-0. Simplify to get 1/1 which is equal to 1. Therefore, the slope is 1.

If this answer helps please mark as brainliest

Answer:

The slope is 1

Step-by-step explanation:

There are multiple ways to find the slope on a graph. You can either take two points from the line and do it the normal way (y1-y2/x1-x2), or you can look at the graph and see how much it "rises and runs" from one point to the next point. Since this is a pretty simple graph that is the method I used. Count how many units the line goes up and to the right from one point to the next, and remember the phrase "rise over run" for organizing the fraction. In this one, it rises one and runs one, so 1/1, and that's 1. I hope I could help.

There are 20 marbles in the box. 4 marbles are black, 6 marbles are blue, 10 are red. What is the probability of drawing a black OR a red marble?

Answers

Answer:

7/10 or 70% or 0.7

Step-by-step explanation:

4 black, 10 red

10+4=14

now you put it over the total marbles

14/20=7/10

i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%

What is the difference between a diameter and a radius?

Answers

Answer:

a radius is a line that goes from the center of a circle to the actual circle, it's measurement will always be half of the diameter

a diameter is a straight line that goes from any point of the circle, through the center, and then to the opposite side of the point

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