Answer:
33 feet
Step-by-step explanation:
Use SOHCAHTOA to determine which trigonometric function to use:
sin(65)=30/x
sin(65)x=30
x=30/sin(65)
x=33.1
So the length of the ladder rounded to the nearest foot is 33 feet
Answer:
-1/9, 1/9
Step-by-step explanation:
If we represent this with an equation, we get 3 + |-9x| = 4. Subtract 3 from both sides and we get |-9x| = 1. There are two solutions to this, 1/9 and -1/9, since they both multiply to a number whose absolute value is 1. (-9 * 1/9 = -1, 9 * 1/9 = 1. -1 has an absolute value of 1.)
Answer:
7.5 min/ mile
Step-by-step explanation:
Divide the time taken in minutes by the distance in miles
3 hours = 3 × 60 = 180 mins
3 hours 15 min = 180 + 15 = 195 mins
Average time =
= 7.5 min/ mile
Given:
principal = 7,000
interest rate = 5% compounded annually
term = 3 years
A = P (1 + r/n)^nt
A = future amount to be received by First Consumer Bank
P = loan principal
r = rate
n = number of times compounded in a year
t = term
A = 7,000 ( 1 + 5%/1)^1x3
A = 7,000 (1.05)³
A = 7,000 (1.157625)
A = 8,103.375
First Consumer Bank will receive 8,103.375 from Jane after lending 7,000 for 3 years compounded annually at 5%.
Answer:
Hello! answer: e = 108 d = 32 f = 40 because
108 + 108 + 32 + 32 + 40 + 40 = 360 Hope this helps!