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Vadim26 [7]
2 years ago
15

A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Mathematics
1 answer:
Debora [2.8K]2 years ago
4 0

Answer:

<h2>4</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em />\dfrac{75}{360}=75:360=0.2<em />

<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>

The circumference <em>C = 20</em>.

Therefore

x=0.2\cdot20=4

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gogolik [260]

Answer:

B is correct.

6 0
2 years ago
1/6 ÷ 2 = 12 (true or False)?
lilavasa [31]

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger

8 0
2 years ago
Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0
Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at  (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16  - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1  (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0
2 years ago
Given. &lt;1 and &lt;2 are supplements , &lt;3 and &lt;4 are supplements, and &lt;1 = &lt;4
Veseljchak [2.6K]
Here’s the answers , it stops at 7 in the picture but here’s 8-9

8. Statement - m<1+m2=m<3+m<1
Reason - substitution property

9. Statement - m<2 = m<3
Reason - subtraction property

10. Statement - <2=<3
Reason - definition of = angles !!

3 0
3 years ago
T -1 4/9 +4 5/9 = 3 2/9<br><br><br> Solve for t plz!
g100num [7]

Answer: T= 1/9

Have a good day!!!!

8 0
2 years ago
Read 2 more answers
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