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3 years ago

What is the distance traveled by the lunar station in one orbit?

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

Notice the picture below

then, the diameter made by the orbiting lunar station is 32 + 2548 + 32

or 2612, that means the radius is half that, or 1306, that means one orbit is

circumference of a circle = C = 2π r, r = 1306, thus C = 2π * 1306

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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

$A=(3, 2)$

$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0

2 years ago

Help?!<br> ???????????LK

Katarina [22]

Answer:

Equation: 65+1.50m=78.50

Solution to the equation= 9 minutes

Step-by-step explanation:

The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :

65+1.50m=78.50

(btw, m stands for minutes)

So to solve the equation:

1.50m=13.50

m= 9

3 0

3 years ago

Does the point(1, 8)satisfy the inequality y ≥ 6x + 2 ?

nalin [4]

Answer: Yes

Step-by-step explanation:

1. Substitute 1 for x

2. 6 times 1 is 6 plus 2 is 8

3.8 is equal to or greater than 8

4 0

3 years ago

ΔEʹFʹGʹ is a dilation of ΔEFG with the origin as the center of dilation.

vekshin1

the answer a is 6 and b is 2

7 0

3 years ago

Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?

vivado [14]

Answer:

it would be -5

Step-by-step explanation:

7 0

3 years ago