Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?

Answers

Answer 1
Answer:

Answer:

1.17*10^14 km

Step-by-step explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

x^2 + 3397^2 = (3397 + 25)^2\n\n

x^2 + 11539609 = (11710084)^2\n\nx^2 + 11539609 = (11710084)^2\n\nx^2=  (11710084)^2-11539609 \n\nx^2= 1.37*10^14-11539609 \n\nx^2=1.37*10^14\n\nx= √1.37*10^14\n\nx=1.17*10^14 km


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A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered by the circle, then write a ratio of the circle?s circumference to the perimeter of the square.

Answers

The area of the square notinside the circle is 30.96 in².

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Square:

Side = 12 in

Area = 12²

Area = 12 x 12 = 144 in²

Circle:

Since the circle is inside the square.

Radius = 12/2 = 6 in

Area = πr² = 3.14 x 6 x 6 = 113.04 in²

Now,

The area of the square not inside the circle.

= Area of the square - Area of the circle

= 144 - 113.04

= 30.96 in²

Thus,

The area of the square notinside the circle is 30.96 in².

Learn more about circle here:

brainly.com/question/11833983

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So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)

Two satellites are orbiting earth. The path of one satellite has the equation x² + y² = 56 200 000. The orbit of the other satellite is 200 km farther from the centre of the earth. In one orbit how much farther does the second satellite travel than the first satellite?

Answers

x^2+y^2=r^2

r^2=56200000
r=7496.66
r2=200
r-r2=7296.66
answer:7296.66

Which of the following statements is always true?a.
Workers being paid on commission make less money than if they are salaried.
b.
Workers being paid on commission get paid based solely on their performance.
c.
Workers being paid on commission are stressed over the amount of earnings they will have.
d.
Workers being paid on commission increase the accounting costs of the employer.

Answers

Workers being paid on commission get paid based solely on their performance.
They get paid based on their performance and not their hours.

Answer:

its b

Step-by-step explanation:

What is the product of 2x + y and 5x – y + 3?

Answers

Answer:  The required product is 10x^2-y^2+3xy+6x+3y.

Step-by-step explanation:  We are to find the product f the following two algebraic expressions:

E_1=2x+y,\n\nE_2=5x-y+3.

To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.

The multiplication is as follows:

M\n\n=E_1 * E_2\n\n=(2x+y)*(5x-y+3)\n\n=10x^2-2xy+6x+5xy-y^2+3y\n\n=10x^2-y^2+3xy+6x+3y.

Thus, the required product is 10x^2-y^2+3xy+6x+3y.

Answer: 10x^2-y^2+3xy+6x+3y

Step-by-step explanation:

Given expressions are 2x+ y and 5x -y +3

Product of 2x+y and 5x-y+3 is

(2x+y)* (5x-y+3) = 2x* (5x-y+3) + y* (5x-y+3) ( by applying distributive property under multiplication over addition)

(2x+y)* (5x-y+3) = 10x^2-2xy+6x+5xy-y^2+3y (again by distributive property)

(2x+y)* (5x-y+3) = 10x^2-y^2+3xy+6x+3y  ( by operating the like terms.)

What is the additive inverse of 4x

Answers

the additive inverse of 4x is -4x because if you add them together, you get zero. 4x+-4x=0. 

Answer:

The additive inverse of 4x is -4x

Im factoring and i need to find what times what equals 120 but subtracts to be 7

Answers

it would have to be 15 and 8