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:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
Answer:
-8x^2+26x-21
Step-by-step explanation:
Answer:
The probability that he or she is a male or a civilian employee is 1.037068
Step-by-step explanation:
Probability of sworn officers = 0.696
Probability of civilians = 1 - 0.696 = 0.304
Probability of male sworn officers = 0.882*0.696 = 0.6139
Probability of male civilian = (0.304*(1-0.608)) = 0.1192
Hence probability that he or she is a male or civilian employee is
0.6139 + 0.1192 + 0.304 = 1.037068
800 ÷ 3 = 266.7
Biggest possible area = 266.6 x 266.7 = 71102.00 ft²
Answer: The dimension is 266.6 ft by 266.7 ft
