The length of a football field is 100 yard and the width is 53 yard. In the fist game of the season, Jos catches the opening kickoff at the corner of the goal line and runs straight as a string the diagonal length of the field to score s touchdown. The next day, the local paper credits Jos for a 100 yard touchdown run, but how far did he actually run

Answers

Answer 1

Answer: Given:
Length = 100 yards
Width = 53 yards
Rectangle shape

Jos ran the diagonal length. So, he formed a right triangle. The length Jos ran would be they hypotenuse.

a² + b² = c² ² where c = hypotenuse

100² + 53² = c²
10,000 + 2809 = c²
12809 = c²
c = √12809
c = 113.18 yards.

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the Kelly family bought a new pet rabbit. They want to build an enclosure outside so it has lots of room to roam. They have 30 feet of leftover lumber to use. Find the length and width of the enclosure if the length is to be 4fteet longer than twice the width.

Answers

assume that since this is a simple math problem and they only mentioned legnth and witdth,
assume a perfect rectangle

so assuming they use all the lumber
30=perimiter
perimiter=legnth around=legnth+legnth+with+width

30=2legnth+2width
undistribute
30=2(legnth+width)
divide by 2
15=legnth+width
legnth is 4 more than 2width
legnth=4+2width
subsitute
15=legnth+width
15=4+2width+width
subtract 4
11=2width+width
divide by 3
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legnth=4+2width
legnth=4+2 times (11/3)
lefnth=4+22/3
4=12/3
legnth=12/3+22/3
legnth=34/3 feet=11 and 1/3 foot

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Solve the equation. If there is no solution, write no solution. 2|n| – 12 = 16

Answers

Add 12 to both sides

2|n| = 16 + 12

Simplify 16 + 12 to 28

2|n| = 28

Divide both sides by 2

|n| = 28/2

Simplify 28/2 to 14

|n| = 14

Break down the problem into these 2 equations

n = 14

-n = 14

Solve the 1st equation: n = 14

n = 14

Solve the 2nd equation: -n = 14

n = -14

When you collect all solutions;

n = ±14

Determine whether the relation is a function. {(-7, -1), (-3, -6), (-2, -7), (2, -2)} -A. Not a function -B. Function

Answers

Answer: Function

Reason:

Plot the points on the same xy grid. After doing so, you should find that the graph passes the vertical line test, which means we have a function.

To print a telephone book,565 sheets of paper were used. If the book is 2.6 inches thick,what is the thickness of each sheet of paper.? Round to the nearest thousandth of an inch.

Answers

Using division, the thickness of each sheet of paper is 0.005 inches

What is the thickness of each sheet of paper?

To find the thickness of each sheet of paper, divide the total thickness of the telephone book by the number of sheets used.

Thickness of each sheet of paper = Total thickness / Number of sheets

Thickness of each sheet of paper = 2.6 inches / 565 sheets ≈ 0.004602 inches

Rounded to the nearest thousandth of an inch, the thickness of each sheet of paper is approximately 0.005 inches.

Learn more on division here;

brainly.com/question/4721701

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The telephone book is 2.6 inches thick, with 565 sheets of paper.

What this means is 2.6 inches is the thickness of 565 sheets of paper.

To find the thickness of each sheet of paper, all we do is:

2.6 ÷ 565

This gives us quite a large answer:

0.0046017699

To round to the thousandth place, we look at the third number past the decimal and look to see if we need to round up or round down.
The number to the right of our digit in the thousandth place lets us know (in this case) to round up.

Therefore, 0.0046017699 rounded to the nearest thousandth is:

0.005
Don't forget to label (inches)

A migrating bird flies 312 miles in 13 hours. How many miles does it fly in 5 hours?

Answers

the answer is 120 miles , because it is a proportion

timmy has 180 marbles, some plain and some colored. if there are 32 plain more marbles than colored, how many colored marbles does he have?

Answers

180=x+x+32 180 is equal to x(amount of colored marbles) plus x+32 (amount of plain marbles)
180=2x+32
-32+180=2x
148/2=x
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74 colored marbles and 106 plain

74 (180 - 32) / 2 because if there are 32 more than the other part, it is n + (n+32)

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