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Nastasia [14]
3 years ago
8

Please Help! 10 points!

Mathematics
2 answers:
NeTakaya3 years ago
4 0

Answer:

D.

Step-by-step explanation:

Are the two triangles supposed to be similar? Because otherwise I don't see how you can do this. It's possible to have two different triangles of the same area but different perimeters, which means given a triangle, you could make two different triangles that have different perimeters yet both have an area 25 times greater than the original.  

If they're similar, then let b and h be the height of triangle A. then the base and height of triangle B are bx and hx for some unknown value of x, which means its area is (1/2)(bx)(hx) = (1/2)bh * x^2. To get this to be 25 times the area of A, (1/2)bh, just let x=5. This means the perimeter should be 5 times greater.

Julli [10]3 years ago
3 0

Part A)

<h3>Answer: 2.25</h3>

----------

You find this by squaring 1.5 to get (1.5)^2 = (1.5)*(1.5) = 2.25

Consider a rectangle that is 10 by 4, so its area is 40. Multiply each dimension by 1.5 and we get a 15 by 6 rectangle, so the new area is 90. Note how dividing 90 over 40 leads to 2.25, which is the proper area scale factor.

This example of using a rectangle can be extended to any other geometric shape.

===========================================

Part B)

<h3>Answer: 2</h3>

----------

Go in reverse of what happened in part A. Instead of squaring, we apply the square root. The square root of 4 is 2, so this is the scale factor between the perimeters.

Consider a rectangle that is 5 by 10, so it has area 50. Then consider another rectangle that is 10 by 20, with area 200. The jump from 50 to 200 has us multiply by 4, meaning the larger rectangle's area is four times larger.

Going from 5 to 10 is a jump of "times 2", so is the jump from 10 to 20. So each dimension has been multiplied by 2. Consequently, the old perimeter has been doubled to get the new one.

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3 years ago
Please help me! I am very confused
Sphinxa [80]

Answer:

1) 22.5  A

2) 112    B

3) 430   L

4) 576   P

5) 486   L

6) 624  S

Code is A B L P L S

Step-by-step explanation:

1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5

2) Area of a parallelogram = base x height = 14 x 8 = 112

3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)

= 2(15x7 + 15*5 + 7*5)

= 2(105 + 75 + 35)

= 2 * 215

= 430

4) Volume of a triangular prism = 1/2 * base * length * height

= 1/2 * 8 * 16 * 9

= 576

5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required

6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624

Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on

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2 years ago
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