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arlik [135]
2 years ago
5

The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Mathematics
1 answer:
Ahat [919]2 years ago
4 0

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

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Use the unit circle to find sec (-90)
andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

  1. Draw the vertical line passing trough (1,0)
  2. Extend the radius until it meets this line at point P
  3. The length of OP is the secant of your angle.

Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}

which is undefined.

4 0
3 years ago
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<span>(–8) • (12)= - 96
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8 0
3 years ago
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Which of the following creates 90° angles at the points of intersection and also cuts a segment into two congruent pieces?
IgorC [24]
Perpendicular bisector
8 0
4 years ago
Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th
Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

                                         = \frac{(10.85-7)100}{7}= \frac{(3.85)(100)}{7}=\frac{385}{7}= 55%

Therefore % increase in the height of the plant is 55%.

8 0
3 years ago
Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
Temka [501]

Answer:

Mr.Walters car can go 15 miles on one gallon of gas.

Step-by-step explanation:

To find this, you first want to put it into a ratio.

480:32

Next, you want to divide.

480/32

After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.

8 0
3 years ago
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