Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
Answer:
$2,373.23
Step-by-step explanation:
-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.
-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.
#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23
Hence James' tax refund will be $2,373.23
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0
Therefore, 7z + 10 - z = 8z - 2(z - 5)
Answer:
>
Step-by-step explanation:
<u>Given:</u> 
<u>Want:</u> Which fraction is larger?
To identify the size of a fraction, converting it into a fraction is easier
= 0.5
= 0.33
where 0.5 is greater than 0.33
<u>Choices:</u>
< is less than symbol
> is greater than symbol
= is equal to
Learn more about the Fractions at brainly.com/question/280013
<u>Visual Representation:</u>
<u />
B, because to substitute for a variable you have to have an equation to substitute first.
