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3 years ago

Find the length of the leg of the right triangle leave your answer in simplest radical form

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3. The Pythagorean theorem states

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

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6÷2(1+2)=?

mina [271]

I don't have the answer for the second one, but the answer to number 1 is 9.

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3 years ago

Lexi picked 2 7/10 pounds of strawberries. That afternoon, Lexi’s sister ate 7/8 of the strawberries. How many pounds of strawbe

gavmur [86]

3 $\frac{3}{35}$ pound of strawberry

Step-by-step explanation:

Given parameters:

Pounds of strawberry picked by Lexi =2 $\frac{7}{10}$

Pounds of strawberry eaten by Lexi sister = $\frac{7}{8}$

Unknown:

Pound of strawberry Lexi's sister ate = ?

Solution:

This is a fraction word problem.

Let pound of strawberry eaten by Lexi's sister = K

We can establish that:

Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi

Mathematically we have:

$\frac{7}{8}$ x K = 2 $\frac{7}{10}$

Learn more:

fractions brainly.com/question/1757979

#learnwithBrainly

K = $\frac{27 x 8}{10 x 7}$ = $\frac{216}{70}$

K = 3 $\frac{3}{35}$ pound of strawberry

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3 years ago

Find the cube roots of 125(cos 288° + i sin 288°)

kow [346]

Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)

so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288

so r = 5 and 3O = 288 + 360p and O = 96 + 120p

so one cube root is 5 (cos 96 + i sin 96)

Im a little rusty at this stuff Its been a long time.

Im not sure of the other 2 roots

sorry cant help you any more

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