9. The area of a circle is 706.97 in2. Find the radius.

Mathematics

1 answer:

Strike441 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Using the formula

A=πr2

Solving

r=√A/π

r=√706.97/22/7

r≈15.00118

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A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

frez [133]

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

<h3>What is the area of a circle?</h3>

The area of a circle of radius r is given by:

$A = \pi r^2$

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

$A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2$

Hence the probability is given by:

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More can be learned about probabilities at brainly.com/question/14398287

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1 year ago

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function $f(x)=x^3$ has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).