Answer:
100.0 feet
Step-by-step explanation:
For an acute angle in a right triangle, the cotangent function is the ratio of the adjacent side to the opposite side:
cot(16°42') = (distance to goal)/(30 ft)
Multiplying by the denominator, we have ...
(distance to goal) = (30 ft)cot(16°42') = (30 ft)(3.33317) ≈ 100.0 ft
The football is 100.0 feet from the base of the goal.
_____
cot(16°42') = tan(73.3°)
6
8
6
2
hope it helps i think that is answer
Answer:
someone was already answering it so there it is below
6 1/6
Step-by-step explanation:
(9-3)+(7/15-3/10)
subtract the numbers
6+(7/15-3/10)
6+1/6
6 1/6
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
