Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.
Answer:
9x+2
Step-by-step explanation:
It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.
(2x+2)+(3x+1)+(4x-1)
2x+2+3x+1+4x-1
Combine like terms.
2x+3x+4x=9x
2+1-1=2
Left with 9x+2 as your perimeter binomial.
It would land on blue about 115 times. The spinner lands on blue roughly 23% of the time, and 115 is 23% of 500.
Answer: 23.75
Step-by-step explanation:
475*.05=23.75
Using the formula
A=P*(r(1+r)^n)/((1+r)^n-1)
Where
A=monthly payment
P=Loan amount =11,000-2,000= $9,000
r=annual interest rate/12 or interest rate per month =9.6/12 =0.8%=0.008
n= number of months 3 years=36 months
A=9,000*(0.008(1+0.008)^36)/((1+0.008)^36-1)
A=9,000*(0.010657)/(0.332229)
A=$288.695
A=$288.70
