The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².
<h3>How to calculate the area?</h3>
From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:
= 2/5 × πr²
= 0.4 × 3.14 × 8²
= 80.42 inches²
The radius, in feet, of a rear wheel on the car will be:
r1(2π) = r2(2π)
8(2π) = r2(8/5)(2π)
16 = r2(8/5)
r = 5/8 × 16
r = 10 inches
r = (5/6) feet
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Answer:
$37,940
Step-by-step explanation:
1. Divide $135,500 by 25%= $33,875
2. Divide $135,500 by 3%= $4065
3. Add both quotients
$33,875 + $4065
= $37940
Melinda and her husband will need $37,940 for the down payment and closing cost.
Answer:
False
Step-by-step explanation:
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
<h3>What is tanθ?</h3>
Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
- tanθ = y/x,
- sinθ = x and
- cosθ = y
Substituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
Learn more about tanθ here:
brainly.com/question/26609988
#SPJ1
Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
