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andrew-mc [135]
3 years ago
14

HELP URGENT PLEASE

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

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Y=2x y=-1/2x+5 system of equations
dalvyx [7]

Answer:

<em><u>x=2, y=4</u></em> (as a point,) (2, 4)         (last part is unnecessary unless you are graphing)

Step-by-step explanation:

Use substitution.

Substitute y for 2x.

Since y=2x, you can plug 2x into the place where y goes...

Instead of y=-1/2x+5

2x=-1/2x+5....Now solve

2.5x=5 (Sorry my computer cannot type fractions very clearly)

/2.5    /2.5        (dividing by 2.5 on both sides)

<u><em>x=2</em></u>

Now just plug x into any of the equations to find y (preferably the easier one).

y=2x becomes

y=2*(2)

=4

<em><u>y=4</u></em>

5 0
3 years ago
A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per
OLEGan [10]

Answer:

118.1

Step-by-step explanation:

You need to divide 708.6 by 6 to get the amount of chocolate in one day

3 0
3 years ago
I NEED HALP CAN SOMEONE HELP ME QUICK!
dybincka [34]

Answer:

2 times 3 is 6 to the 2nd power is 36 - 5 to the second power is 25

36-25=11

Step-by-step explanation:

6 0
3 years ago
working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75.
pashok25 [27]
Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5
3 0
3 years ago
2(1 − x) = 9(1 + 2x) + 52(1 − x) = 9(1 + 2x) + 5
marusya05 [52]

Solving the equation 2(1-x) = 9(1 + 2x) + 5 we get x=-\frac{3}{5}

Step-by-step explanation:

We need to solve the equation 2(1-x) = 9(1 + 2x) + 5 and find value of x

Solving:

2(1-x) = 9(1 + 2x) + 5\\2-2x=9+18x+5\\Adding\,\,-18x\,\,on\,\,both\,\,sides:\\2-2x-18x=9+5\\Adding\,\,-2\,\,on\,\,both\,\,sides\\-20x=14-2\\-20x=12\\x=\frac{12}{-20}\\x=-\frac{3}{5}

So, solving the equation 2(1-x) = 9(1 + 2x) + 5 we get x=-\frac{3}{5}

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

7 0
3 years ago
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