If the hypotenuse of a right triangle is 6 and one leg is 5 what is the other leg?

1 answer:

6 0

Recall the Pythagorean Theorem which says:

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:

5^2 + b^2 = 6^2

25 + b^2 = 36

b^2 = 11

b = √11

Thus the answer is C.

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$