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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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Which of the following numbers is between 0.08 and 0.4?
Delicious77 [7]

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

3 0
2 years ago
A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?
Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = \frac{1}{8} cup

∴ 2 oz = 2 × \frac{1}{8} = \frac{2}{8} = \frac{1}{4} cup

∴ The rate of the water leak out = \frac{1}{4} cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      \frac{1}{4}         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × \frac{1}{4}

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0
3 years ago
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
timurjin [86]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
PLS HELP <br> If r = 3s + 1 and t = s - 4, what is r in terms of t?
kirill [66]
R = 3(t+4) + 1
Hope it helps
7 0
3 years ago
(6 + 3) = (4 - 5) =
cluponka [151]

Answer:

if you need to evaluate it its

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9=−1

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Determine if True its False

hoped that help

7 0
3 years ago
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