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2 years ago

Label the diagram with the dimensions of the pool

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

Answer:

Step-by-step explanation:

What are the dimensions of the pool? Please resubmit another question.

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Given: ∆SPM, PK⊥ SM SP = 25, SM = 28, PK = 9 Find: m∠S, m∠M, PM

nevsk [136]

Answer:

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

$KM^2+9^2=PM^2$ and

$(25-KM)^2+9^2=25^2.$

We solve for $KM$ in the second equation and get:

$(25-KM)=\sqrt{25^2-9^2}$

$\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}$

Now since

$SK+KM=25\\\\ SK=\boxed{23.32}$

Therefore

${\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o$

and

${\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.$

And finally again from the Pythagorean theorem:

$PM^2=PK^2+KM^2=9^2+1.68^2$

$\therefore PM=\sqrt{9^2+1.68^2} =9.16.$

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

7 0

3 years ago

Shun is going to flip a fair coin 450 times.

Allisa [31]

Answer:

Close to around 225 times

Step-by-step explanation:

If the coin Shun is flipping is 2 sided the most linear anwser would be to make the prediction of it flipping on the tails side for a perfect total of 225.

6 0

3 years ago

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Given: AB 2, BC = 7, CA = 12

hichkok12 [17]

Answer:

They are similar

Step-by-step explanation:

triangle ABC is similar to triangle HJG

7 0

3 years ago

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If 1 gallon of paint covers 300 square feet, how many gallons

frutty [35]

The answer should be 24

5 0

3 years ago

Please help me worth 10 points

OverLord2011 [107]

Answer:

7.85

Step-by-step explanation:

firstly convert the 45 deg into radians

which is 0.785398 rads multiply it by ten ..

using the formula s=r∅

5 0

3 years ago

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