I will give brainliest if you answer please

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:

The smallest number of kilometers that each must have ran is 6 km

Step-by-step explanation:

The distance Jasper prefers to run at a time = 6 km

The distance Emma prefers to run at a time = 3 km

The distance ran by Jasper at month end = The distance ran by Emma at the end of the month

The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;

The multiples of 6 are;

6 × 1 = 6, 6 × 2 = 12...

The multiples of 2 are;

3 × 1 = 3, 3 × 2 = 6...

∴ The LCM of which = 6

Therefore, the smallest number of kilometers that each must have ran = 6 km

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer:

Step-by-step explanation:

x=3

Answer:

$195

Step-by-step explanation:

102/7 = $15/hour

15 x 13 = $195

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer:

its a acute 120 degree angle

Answer:

X = 78, Z = 29, and Y = 102

Step-by-step explanation:

X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.

Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.

Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.

Hope that helps!

Answer:

40 degrees

Step-by-step explanation:

x=7 so 4x+12 would be (4×7) + 12)

28+12= 40

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer: -21x + 32z + 15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

Answer:

45.6

Step-by-step explanation:

IF x is theta

arccos(7/10)

*make sure your calculator is in degree mode

x= 45.57

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.

Answer:

-3 < x < 3

Step-by-step explanation:

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Answer:

x = 42

Step-by-step explanation:

[tex]\frac{x}{6} = 7[/tex]

Multiply both side of the equation by 6.

[tex]6(\frac{x}{6} ) = 7 * 6[/tex]

∴ x = 42

So, the answer is D.

Hope this helps

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

Answer:

hey there, the answer is 8.9429 × 10^8

Answer:

8.9429 × 10^8

Step-by-step explanation:

ya the answer is 8.9429 × 10^8

Answer:

a ≤ 27

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

Answer:

i can see can we talk

Step-by-step explanation:

Answer:

So the length will be the same as the length of the torso

Answer:

$26.94

.................