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Keith_Richards [23]
2 years ago
10

Ms. Garcia's science students are studying scale models. For her science project, Sarah has decided to make a scale model of the

solar system. She is using the model you see here as inspiration. She plans to use this as her starting point and add the remaining planets in the correct orbits around the Sun. Sarah conducted some research to help her with the diameters of the planets and Sun in her model and found the table you see above. If Sarah uses a ball for Earth that is 4" in diameter, how much bigger must the Sun be in her model?
A) 10 times bigger

B) 109 times bigger

C) 109 inches

D) 400 inches

Mathematics
1 answer:
WINSTONCH [101]2 years ago
8 0
The answer is the option B: <span>B) 109 times bigger.
 The explanation of this exercise is shown below:
 By the information given in the table attached, the diameter of the Sun is 109 if the diameter of the Earth is 1. Therefore, the Sun is 109 times bigger than the Earth. Then, if </span><span>Sarah uses a ball for Earth that is 4" in diameter,</span> the diameter of the Sun must be 109 times bigger:
 D=4"x109
 D=436".
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If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Marat540 [252]

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

6 0
2 years ago
Which of these sets of angle measures could be the three angles in a triangle?
Lady_Fox [76]

Answer:

Okay so this is simple addition, once you know how to do it. 

The interior angles of a triangle should always add up to 180 Degrees. 

Now that you know this, all you have to do is add the numbers together and see which ones add up to 180 degrees. 

A. - 90+42+58=190

B. - 60+60+60=180

C. - 100+48+42=190

D. - 31+75+70=176

Out of these choices the only one that adds up to 180 is B. So your answer would be B. 

Read more on Brainly.com - brainly.com/question/2547568#readmore

Step-by-step explanation:

7 0
3 years ago
Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1
maxonik [38]
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
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7 0
3 years ago
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love history [14]

Answer:

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Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

6 0
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xz_007 [3.2K]
It will take the penguin 2 hours i think
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2 hours- 14 miles
7 0
3 years ago
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