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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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1. Quadratics.
Drupady [299]

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

<h3>What is the value of h(24)?</h3>

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

<h3>What is the value of the vertical intercept?</h3>

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

<h3>What is the values of the vertex coordinates?</h3>

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

<h3>How far from the start did the shot put strike the ground?</h3>

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x =  [-1.08-1.2493]/-0.034 and x =  [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

                                                                        = √73.49²

                                                                        = 73.49 feet              

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

Learn more about graph:

brainly.com/question/14180189

#SPJ1

8 0
2 years ago
FIRST ANSWER GETS BRANLIEST
Darina [25.2K]

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.

CostA = 90 + .40(miles)

CostB = 30 + .70(miles)

We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:

90 + .40(miles) < 30 + .70(miles)     This is where we will now begin to solve for the number of miles.

-30                      -30                       Subtract 30 from both sides.

60 + .4(miles) < .7(miles)                Simplify

      -.4(miles)   -.4(miles)                Subtract .4(miles) from both sides

60 < .3(miles)                                 Simplify

/.3     /.3                                        Divide both sides by .3

200 < miles                                   Simplify

So for A to cost less the number of miles must be greater than 200.

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3 years ago
Solve for x<br> 3x + 80 = 107<br><br> What are the Awnser to these 2
kolezko [41]

Answer:

x=9

Step-by-step explanation:

7 0
3 years ago
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Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natali
Allisa [31]

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

6 0
3 years ago
Select the correct answer.
iogann1982 [59]
7 because 42 divided by 6= 7 and length times width = perimeter
7 0
2 years ago
Read 2 more answers
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