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djyliett [7]
2 years ago
5

Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 fee

t from the house. How far up the side of the house will the ladder reach (in ft)?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
5 0

Answer:

8\sqrt{13}

Step-by-step explanation:

Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):

a^2+b^2=c^2

we can find that 3=a and 29=c

3^2+b^2=29^2

9+b^2=841

b^2=832

b=\sqrt{832}

b=\sqrt{64*13}

b=8\sqrt{13}

That is the height that the ladder will reach

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gavmur [86]

8x^2 -3 = 2

add 3 to each side

8x^2 = 5

divide by 8

x^2 =5/8

take the square root of each side

x = +- sqrt (5/8)

7 0
3 years ago
Grace earned $3,264 last month. If she makes $16 per hour,<br> how many hours did she work?
Sholpan [36]

Answer:

204 hours

Step-by-step explanation:

3264 divided by 16 = 204 hours

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2 years ago
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Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If the
Vanyuwa [196]

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

<h3>How to find the total volume ?</h3>

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

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learn more on volume here: brainly.com/question/10224096

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2 years ago
Find the value of angel 0 to the nearest 10th<br>​
BaLLatris [955]

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

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Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

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Hope this helps :)

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Step-by-step explanation:

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