Answer:
The wire is approximately 42feet long
Step-by-step explanation:
We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.
The hypotenuse side is the length of the wire we are looking for.
Parameters are given as:
Opposite : 30ft
Adjacent: 30ft
Hypotenuse: x feet
The hypotenuse = 
Hypotenuse =
I can answer the first four
1 is 40%
2 is 60
3 is $1.35
4 is 6%
Answer: 30
Step-by-step explanation:
21+39/2
=30
We take the value of F in the inequality by taking the inequalities in group. Let the first group be:
(1) -20 ≤ 59(F - 32)
Then, the second group would be,
(2) 59(F - 32) ≤ - 15
Calculating for the values of F,
(1) -20 ≤ 59F - 1888
1888 - 20 ≤ 59F
1868 ≤ 59F
F ≥ 31.66
(2) (59)(F - 32) ≤ - 15
59F - 1888 ≤ -15
59F ≤ 1873
F ≤ 31.75
The values of F are therefore,
31.66 ≤ F ≤ 31.75
Answer:
Step-by-step explanation:
For this case we can use the formula for the future value with compound interest given by:
(1)
For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.
r represent the rate =0.026
t = 6 represent the number of years
P = 3200 represent the amount invested at the begin
If we apply the formula (1) we got:
So then the balance after 6 years would be approximately 50995 with the conditions provided.
