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Montano1993 [528]
3 years ago
6

An arc subtends a central and measuring pi/2 radians.

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Answer:

1/4th

Step-by-step explanation:

This comes from knowing the unit circle in both radians and degrees. However, you could also calculate it from knowing that 360 degrees is 2\pi radians. What you'll find is that \frac{\pi }{2} radians is 90 degrees, or 1/4th of the circle. This means that an arc measuring \frac{\pi }{2} radians will be 1/4th of the entire circumference.

I hope this helps!

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A circular pond is modeled by the equipment x^2+y^2=225. A bridge over the pond is modeled by a segment of the equation x-7y=-75
makkiz [27]
X² + y² = 225
x - 7y = -75

x = 7y - 75

x² + y² = 225
(7y-75)² + y² = 225
(7y - 75)(7y - 75) + y² = 225
49y² - 525y - 525y + 5625 + y² = 225
50y² - 1050y + 5400 = 0
50(y² - 21y + 108) = 0

y² - 21y + 108 ⇒ (y - 12)(y - 9)

x = 7(12) - 75
x = 84 - 75
x = 9       ⇒ (9,12)

x = 7(9) - 75
x = 63 - 75
x = -12 ⇒ (-12,9)

3 0
4 years ago
What is the median of the following numbers? 10, 6, 4, 4, 6, 4, 110,6,4,4,6,4,1
tatiyna

Answer:

The median is 4

Step-by-step explanation:

1) You order the numbers in order from smallest to largest: 1, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 110

2) Next, you just cross out each number from each side. For example, if you cross out 1 at the beginning, you cross out the 110 at the end and if you cross out the 4 (right after the 1) then you cross out 10 which is the next number in line to the end. You carry on like that until you're left with a lone value in the middle

3) That lone value is now your median.

However, if you end up with two values in the middle, you would add them both together and then divide by 2 to get your median.

3 0
3 years ago
(a) An angle measures 43 . What is the measure of its complement? (b) An angle measures 81 . What is the measure of its suppleme
vampirchik [111]
To solve the problem shown above, you must follow the proccedure shown below:

 1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.

2. Keeping the information above on mind, you have:
<span>
 (a) An angle measures 43 . What is the measure of its complement?

 =90°-43°
 =47°

 (b) An angle measures 81 . What is the measure of its supplement?
</span>
 =180°-81°
 =99°

 The answers are:

 a) 47°
 b) 99°
 
7 0
3 years ago
What is the value of x in: 4x+3y=12 and 2x-3y=-30 *
NNADVOKAT [17]

Answer:

The value would be

Step-by-step explanation:

What is the value of x in: 4x+3y=12 and 2x-3y=-30 *

4x + 3y

The answer is x = 2 - 3y = 4

3y = 30

So 2x + 3y = 12 is

X = 3 - 3y/4

2x - 3y = 30

X = 15 + 3y/2

Hope it help : ) Please Rate it for me!

Have a Great Day and Winter Break!

6 0
3 years ago
Jerneii writes the set of ordered pairs below. The set represents a function.
BlackZzzverrR [31]

Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

4 0
3 years ago
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