9514 1404 393
Answer:
38.5°
Step-by-step explanation:
You are given all three side lengths of the relevant triangle, so the Law of Cosines can be used to find any desired angle. If we call the desired angle C, then that law tells you ...
C = arccos((a² +b² -c²)/(2ab))
where a and b are the triangle side lengths adjacent to the angle of interest, and c is the side opposite. Here, 'a' and 'b' are the pole and cable lengths, and 'c' is the distance of the stake from the pole.
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360)
C ≈ 38.515°
The cable makes an angle of about 38.5° with the pole.
From 22steps & 15ft and 17steps and 7ft, -5/-8 would be the slope(?)
Answer:
23,700
Step-by-step explanation:
(-237) X (-99) = 23,463 + 237 = 23,700
Answer:
36.666 (The six keeps going)
Step-by-step explanation:
In this question you'll be trying to find out what x is.
(x-8), this is from the amount of years ago and 2(56-x) is from subtracting 8 with 64 and the 2 came from the fact that Jeremy is twice the age.
(x-8)=2(56-x)
x-8=102-2x
Now we want to have x by itself so we'll add 2x on both sides to remove the -2x from the right side.
3x-8=102 (Add up on both sides)
3x=110 (Divide by 3)
x=36.666
Answer:
Base amount: $2,410.00
Interest Rate: 12% (yearly)
Effective Annual Rate: 12.68%
Calculation period: 3 years
$3,448.15
Step-by-step explanation:
The generic formula used in this compound interest calculator is
V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for