Answer:
Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.
Step-by-step explanation:
Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:
πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.
But, it is given that the circular speed of the object is 90π inches per minute. So,
90π = 15πr
r = 6 inches
Since, diameter is the double of radius, d = 2r = 12 inches.
For more explanation, refer the following link:
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70% I think beacuse she is making more profit about 70% then she bought it for
Answer:

Step-by-step explanation:
We need to use the formula to calculate the probability of (A or B) where
A=Probability a student likes pepperoni
B=Probability a student likes olive
A and B =Probability a student likes both toppings in a pizza
A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or
The formula is

Since 6 students like pepperoni out of 9:

Since 4 students like olive out of 9:

Since 3 students like both toppings out of 9

Then we have


The vertex<span> of a </span>parabola<span> is the point where the </span>parabola<span> crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the </span>vertex<span> will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.
</span><span>
The vertex of the parabola whose equation is y = x^2 + 8 x + 12 will be :
</span>(x , y) = (-4,-4)
Answer
<h3>
48°</h3>
Step-by-step explanation:
We know that sum of complementary angle adds to 90°
Let the angles be 7x and 8x
<u>First </u><u>of </u><u>all,</u><u> </u><u>finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

Collect like terms
⇒
Divide both sides of the equation by 15
⇒
Calculate
⇒
The value of X is 6°
<u>Now,</u><u> </u><u>substituting </u><u>/</u><u> </u><u>Replacing</u><u> </u><u>the </u><u>value </u><u>of </u><u>x</u>
⇒
⇒
The measure of larger angle is 48°
Hope I helped!
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