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miskamm [114]
3 years ago
15

A soccer field is rectangular and measures 100 yards by 60 yards. a soccer ball is randomly kicked onto the field. if it is equa

lly likely that the ball will come to rest anywhere on the field, what is the probability that the ball will come to rest inside a circle in the middle of the field that has a radius of 10 yards? use 3.14 for pi and round your answer to the nearest whole percent.
a. 1%
b. 5%
c. 6%
d. 60%
Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
The answer is: b. 5%

You multiply 100 x 60 to get 6000
You then get the radius by doing A = π*r^2 = πd^2/4 which is 314.159 (rounded).

Divide 314.159 and 6000 to get 0.05235 or 5%.
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Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far
ahrayia [7]
Given that Jack biked for 5 \frac{1}{3} hours with an average speed of  12 \frac{1}{2} miles per hour.

The distance travelled by Jack is given by

d=speed\times time \\  \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3}  \\  \\ = \frac{200}{3} =66 \frac{2}{3} \ miles

Given that Jim travelled exactly 1 \frac{1}{5} as far as Jack did, then the distance Jim travelled is given by

d=1 \frac{1}{5} \times66 \frac{2}{3}  \\  \\ = \frac{6}{5} \times \frac{200}{3} =80

Therefore, the length of Jim's journey is 80 miles.
3 0
3 years ago
Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.
spayn [35]
Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞
7 0
3 years ago
Triangle KNM is shown. Triangle K N M is shown. Angle M K N is 25 degrees. Angle K N M is 130 degrees. Angle N M K is 25 degrees
mars1129 [50]

Answer:

<h3>Two of the sides of triangle KNM are the equal</h3>

Step-by-step explanation:

From the triangle KNM, we can see that two of the angles M K N and Angle N M K are the same. If two of the angles are equal this means that two of the sides of the triangles are also equal. This type of triangle is known as an ISOSCELES TRIANGLE.

An isosceles triangle is a triangle that has two of its angles and sides to be equal.

6 0
3 years ago
Neil is analyzing two linear functions, f(x) and g(x). Will they intersect?
LUCKY_DIMON [66]
No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.

In short, the final answer is choice D.

5 0
3 years ago
Simplify the ratio 11/33 and then give 2 more equivalent ratios
KATRIN_1 [288]
The simplest ratio is 1/3. Equivalent ratios would be 3/9 and 5/15.
4 0
3 years ago
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