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ankoles [38]
3 years ago
11

Name three sets of collinear points:

Mathematics
1 answer:
Verdich [7]3 years ago
6 0
I e and u amend iuqnenr
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A rectangular patio has a length of 12 1\2 feet and an area of 103 1\8 square feet. What is the width of the patio?
Whitepunk [10]

Answer:

8.25 feet

Step-by-step explanation:

to find the width, you divide the area by the length

103 1/8 / 12 1/2 = 8.25

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8 0
1 year ago
Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

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3 years ago
Ms. Purdy bought coffee and orange juice for her coworkers in her office.She bought X cups of coffee at $2 per cup and Y cups of
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A manufacturer claims that its new hand sanitizer reduces the number of days an average person is sick in a year. To test this c
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in my opinion is the last:

this studies uses a control group

Step-by-step explanation:

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2 years ago
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A company that makes​ hair-care products had 5,000 people try a new shampoo. Of the 5,000 ​people, 10 had a mild allergic reacti
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Answer:

0.002%

Step-by-step explanation:

10/5,000 = 0.002

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2 years ago
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