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viktelen [127]
3 years ago
14

(12) The Earth is one astronomical unit from the

Mathematics
2 answers:
swat323 years ago
7 0

X+5

Y-7

Fractions can someone help me pls

astraxan [27]3 years ago
7 0

Answer:

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

The Earth make 0.02616 revolutions in 4 hours.

Step-by-step explanation:

v = r\times \omega

v =  linear speed

r = radius from the center

\omega= angular speed

The angular speed of the Earth around the sun = 0.9863 degrees/day

Distance of the earth from the sun = r = 1 AU = 93\times 10^{6} miles

Linear speed of earth around the sun = v

v = 93\times 10^{6} miles\times 0.9863 degrees/day=91,725,900 miles/day

1 day = 24 hours

v=\frac{91,725,900 miles}{24 hours}=3,821,912.5 miles/hour

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

Duration  of drive from Dallas to Texas = 4 hours

Miles of revolution of earth covered in 4 hours :

3,821,912.5 miles/hour\times 4 hr = 15,287,650 miles

1 revolution = 2\pi r

1 revolution = 2\times 3.14\times 93\times 10^6 miles

The revolution of earth in 15,287,650 miles will be:

\frac{1}{2\times 3.14\times 93\times 10^6 miles}\times 15,287,650

=0.026162420 revolution ≈ 0.02616 revolutions

The Earth make 0.02616 revolutions in 4 hours.

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X-3y=-12; 2x+11y=-7 .algebra 2, elimination. I just need help solving
AlladinOne [14]
<h3><u>The value of x is equal to -9.</u></h3><h3><u>The value of y is equal to 1.</u></h3>

x - 3y = -12

<em><u>Add 3y to both sides.</u></em>

x = -12 + 3y

<em><u>Plug the value of x into the second equation.</u></em>

2(-12 + 3y) + 11y = -7

<em><u>Distributive property.</u></em>

-24 + 6y + 11y = -7

<em><u>Add 24 to both sides.</u></em>

6y + 11y = 17

<em><u>Combine like terms.</u></em>

17y = 17

<em><u>Divide both sides by 17.</u></em>

y = 1

Now that we have the value of y we can plug it into the original equation to find the value of x.

x - 3(1) = -12

x - 3 = -12

<em><u>Add 3 to both sides.</u></em>

x = -9


5 0
3 years ago
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

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3 years ago
A cell phone tower in a field casts a shadow of 100 ft. at the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft
kogti [31]
Try using wolfram alpha

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3 years ago
PLEASE HELP IM TIMEZ) What is the value of the arithmetic series below? A. B. C. D.
Aleks04 [339]

Answer:

id say its C but I'm not sure

3 0
3 years ago
Pls will give brainiest
Ber [7]

Answer:

The answer is D

Step-by-step explanation:

The person who saked this question will find this useless but this is for all the other ppl to come here for the answer

5 0
3 years ago
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