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Rudik [331]
3 years ago
10

I DESPERATELY NEED YOUR HELP!! A cat gets stuck on the roof. If the latter is 12 feet long and must be placed 7 feet away from t

he building. How high can the ladder reach up the building to save the cat
Mathematics
2 answers:
Sidana [21]3 years ago
7 0

Answer:

your answer is 9.7 feet

Step-by-step explanation:

you apply Pythagorean theorem a^{2} +b^{2} =c^{2} since you are looking for height you can subsitute x for a or b and since 12 is the largest number this will be your c which is your hypotneuse and 7 will be subsituted as a or b depending on what letter you used as your x value 7^{2} +b^{2} =`12^{2} is equal too 49 +b^2 =144 you then subtract 49 on both sides to isolate your x (b) and this gets you 95 and then you find the square root of 95 which is 9.7

melisa1 [442]3 years ago
5 0

Answer:

84

Step-by-step explanation:

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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
1/5x + 4 =1/3x-8 <br> Can you show your work too? That would be great
Vikentia [17]

Answer:

90

Step-by-step explanation:

1/5x+4=1/3x-8

add 8 to both sides and subtract 1/5x from both sides

4+8=1/3x-1/5x

12=5/15x-3/15x

12=2/15x

divide both sides by 2/15

12÷2/15=x

when dividing by a fraction, invert and multiply

12*15/2=x

90=x

CHECK:

1/5(90)+4=1/3(90)-8

18+4=30-8

22=22

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An exponential function displays either a growth or decay behavior going from a low steep to a high steep.
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a 4-foot diameter circle is divided into four congruent sectors. what is the area of each sector in square inches? (use 3.14 for
serious [3.7K]

Answer:

The Answer is 1

Step-by-step explanation:

EZ

7 0
4 years ago
If you reduce the size of a triangle to a height 2 inches. If the original rectangle was 2 feet wide and 12 inches tall. What is
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4 inches wide is the answer
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