Answer:
the length of the hypotenuse is 14 in
Step-by-step explanation:
Focus on the 30 degree angle. Recall that the sine of an angle is defined as
opposite side
sin Ф = ----------------------
hypotenuse
and that sin 30° is always 1/2.
7 in 1
Then sin 30° = ------------------- must equal -----
hypotenuse 2
After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),
so that the length of the hypotenuse is 14 in.
Answer: C. $5,470
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $5000
r = 1.8% = 1.8/100 = 0.018
n = 4 because it was compounded 3 times in a year(12/4 = 3 times)
t = 5 years
Therefore,
A = 5000(1 + 0.018/4)^4 × 5
A = 5000(1 + 0.0045)^20
A = 5000(1.0045)^20
A = $5470 to the nearest whole number
The exact radius is
V
≈1767.15ft³
ANSWER: -60
EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:
−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.
−10−|−20−30|
= −10−|−50|
= −10−50
= −60
