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Lilit [14]
3 years ago
11

A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun m

easured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Mathematics
2 answers:
icang [17]3 years ago
8 0

Answer:

  • radius: 1460 mi
  • circumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.

siniylev [52]3 years ago
5 0

Answer:

Sorry i needed the pointś im so sorry

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Morgarella [4.7K]

Answer:

329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct

Step-by-step explanation:

Angle EFG + Angle FGH + Angle GEF = 180 degrees

(2x+1) + (6x+2) + (x + 19) = 180 degrees

9x + 22 = 180 degrees

9x = 158 degrees

x= 158/9

x+19 = Angle GEF

158/9 + 19 = Angle GEF

329/9 =Angle GEF

Double check:

(2x+1) + (6x+2) + (x + 19), x=158/9

2(158/9) + 1 = 325/9

6(158/9) +2 = 322/3

(158/9) +19 = 329/9

325/9 + 322/3 + 329/9 = 180

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3 years ago
a fitness center offers yoga for $10 per class and sells yoga mats for 19.95. A person paid a total cost f $139.95 to the fitnes
Ne4ueva [31]
10x + 19.95 = 139.95

Subtract 19.95 from both sides
10x =130.00
Divide both sides by 10

X = 13

13 classes
6 0
3 years ago
ILL GIVE BRAINLY THING
Vinil7 [7]

Answer:

the slope is -4/3

Step-by-step explanation:

you can either use the graph or algebra to find the slope.

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4 0
3 years ago
The diagram shows a regular dodecagon.Work out the size of one interior angle
nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

5 0
3 years ago
One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second
Alex_Xolod [135]

Answer:

  1. Define your variable and write your equation:  36 + b + (3b-28) = 180°.
  2. measure of the second angle: 43°.
  3. measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

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2)   b = 43°        ⇒   measure of the second angle

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c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0
3 years ago
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