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777dan777 [17]
3 years ago
10

What assumption must be made about the sun rays if you use this method of determining the circumference of a large sphere?

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0
Based on the given details, the assumption that must be made about the sun rays if using the method of determining the circumference of a large sphere is that, the rays it emits are of a certain angle from one another and these rays would travel in parallel. These rays are not touching, therefore, its angles are the same. Hope this answer helps.
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Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)
ozzi
Work shown above! Answer would be A!

5 0
3 years ago
1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

7 0
3 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
What is the midpoint of LQ? <br> Point M <br> Point N<br> Point P<br> Point Q
Sphinxa [80]

Answer:

N

Step-by-step explanation:

N is the only point that is equally distant from point L and point Q

5 0
3 years ago
Read 2 more answers
There are a rack of 14 billiard balls. Balls numbered 1 through 8 are solid-colored. Balls numbered 9 through 14 contain stripes
Jet001 [13]

Answer:

3/7  /    42.8% chance

Step-by-step explanation:

There are 6 striped balls (9, 10, 11, 12, 13, 14) and 8 (1, 2, 3, 4, 5, 6, 7, 8) solid colored balls. So, 6 / 14 balls are striped.

(6 / 14  = 3 / 7)

this means that the probability of a ball being striped has the odds of 3/7

(3/7 = about 42.8% chance)

6 0
1 year ago
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