Answer:
Step-by-step explanation:
It x
The quadrilateral is either a square or a rectangle as all angles are the same measure (90 degrees)
Answer: A hurricane usually takes days to develop. The fastest a hurricane might form is in 48 hours or two days. If a cluster of thunderstorms already exists then it might only take a day.
Step-by-step explanation:
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
![Tan\theta = \frac{opposite}{adjacent} \\tan 30 = \frac{35}{x}\\ x = \frac{35}{tan30}\\ x = 60.62ft](https://tex.z-dn.net/?f=Tan%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5Ctan%2030%20%3D%20%5Cfrac%7B35%7D%7Bx%7D%5C%5C%20x%20%3D%20%5Cfrac%7B35%7D%7Btan30%7D%5C%5C%20x%20%3D%2060.62ft)
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
brainly.com/question/12172664
The borrower owes $14,760.82 at the end of 8 years
What is compounding interest?
Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.
Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:
FV=PV*(1+r/n)^(n*t)
FV=loan balance after 8 years=unknown
PV=loan amount=$5,000
r=annual interest=14%
n=number of times in a year that interest is compounded=2(twice a year)
t=loan period=8 years
FV=$5000*(1+14%/2)^(2*8)
FV=$5000*(1.07)^16
FV=$5000*2.95216374856541
FV=loan balance after 8 years=$14,760.82
Find out more about semiannual compounding on:brainly.com/question/7219541.
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