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2 years ago

I need these answers, and I need them explained..

Mathematics

1 answer:

deff fn [24]2 years ago

5 0

Answer:

1.)96 pages

2.)5980 square ft per hour

3.)$13 per pound

4.)$12.72 per pound

5.)Company B offered the best deal

Step-by-step explanation:

1.)24*4=96

2.)4485/3=1495 then 4485+1495=5980 square ft

3.)32.50 / 2 1/2=13

4.)35 / 2 3/4=140/11= 12.72 rounded to the nearest hundredth

5.)Company B's price per pound is less than company A's

Hope this helps :)

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Answer:

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I hope this helps!

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3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$