MATHEMATICS HIGH SCHOOL

Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/4. a. True
b. False

Answers

Answer 1
Answer: Your answer is A. True.

Hope this helps.

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Answers

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Fill two of the pools with water, Each pool will be filled to a depth of 5 feet. The other necessary dimensions are given below. How much water is necessary for each of the elements below? The isosceles triangle pool: height 20ft and base 35ft
The equilateral triangle pool: height 52ft and base 60ft

Answers

Find the volume of each pool. The formula for triangular prisms is length*width*height*1/2. Or, since your numbers give the base, you can just multiply the height and the base, then multiply by 5, then divide by 2 to get the answer.
So, 20*35*5/2 = 1,750 ft³ is the equation for the isosceles triangle, and the equilateral triangle pool is 52*60*5/2 = 7,800 ft³.
The volume = how much water you need for each pool.
Hope that answered your question.

What is 12/16 in it's lowest term

Answers

12/16 to the lowest terms is. 3/4
The GCF is 4 so divide by four and get 3/4

Let f(x) = x2 − 8x + 5. Find f(−1)

Answers

 f(x) = x² - 8x + 5
f(-1) = (-1)² - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 9 + 5
f(-1) = 14
f(x) = x^2- 8x + 5

f(-1) = (-1)^2- 8(-1) + 5

f(-1) = 1 + 8 + 5

f(-1) = 9 + 5

f(-1) = 14

What is the area of the triangle and perimeter of this triangle

Answers

The area is 36 in (found by 1/2 base times height) and the perimeter is 29.2 (found by adding up all the sides).

if a boy grows 5 inches, he will be one-half as tall as his sister. His sister is 68 inches tall. How tall is the boy?

Answers

If the boy grows another 5 inches, he will be 1/2 as tall as his sister. HIs sister is 68 inch tall

Let sister = g, and boy = b

2b + 5 = g

g = 68

Plug in 68 for g

2b + 5 = 68

Isolate the b. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

first, subtract 5 from both sdies

2b + 5 (-5) = 68 (-5)

2b = 68 - 5

2b = 63

Isolate the b. Divide 2 from both sides

2b/2 = 63/2

b = 63/2

b = 31.5

The boy is 31.5 inches tall

hope this helps

Answer:

The height of boy is 29 inches.

Step-by-step explanation:

Given : If a boy grows 5 inches, he will be one-half as tall as his sister. His sister is 68 inches tall.

To find : How tall is the boy?  

Solution :

Let x be the boy's height and y be his sister's height.

We have given, His sister is 68 inches tall i.e. y=68 inches

Now,  If a boy grows 5 inches i.e. x+5

then he will be one-half as tall as his sister i.e. x+5=(1)/(2)y

or  y=2x+10

We know, y=68 substitute in above equation

68=2x+10

2x=58

x=(58)/(2)

x=29

Therefore, The height of boy is 29 inches.
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