Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:
First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.
a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
Answer:
0.33696
Step-by-step explanation:
Given that:
Probability of showing up head (p) = 0.6
Number of flips = number of trials = 5
Probability of getting more than 3 heads
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x> 3) = p(4) + p(5)
P(x = 4) = 5C4 * 0.6^4 * 0.4^1 = 0.2592
P(x = 5) = 5C5 * 0.6^5 * 0.4^0 = 0.07776
Hence,
0.2592 + 0.07776
= 0.33696
Answer:
D
Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D
Answer:
<em>x </em>equals 3.6.
Step-by-step explanation:
A way to solve this equation is to preform the inverse operations on both sides.
1. Add 19 to -19 and 5: 5<em>x </em>+ 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24
2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18
3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6
4. 3.6 is the answer.
To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5
I hope this made sense and helped you a lot! :)
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
