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diamong [38]
3 years ago
8

A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass fie

ld to the opposite corner. How many yards will the players have to run?
A.125 yards
B.105 yards
C.85 yards
D.65 yards
Mathematics
1 answer:
Wittaler [7]3 years ago
6 0

Answer:

A

Step-by-step explanation:

A soccer field is a rectangle 60 meters wide and 110 meters long. The coach asks players to run from one corner of the grass field to the opposite corner. The path from one corner of the grass field to the opposite corner is the diagonal of the rectangular field.

The width, the length and the diagonal of the rectangular field form right triangle. By the Pythagorean theorem,

\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=60^2+110^2\\ \\\text{Diagonal}^2=3,600+12,100\\ \\\text{Diagonal}^2=15,700\\ \\\text{Diagonal}=\sqrt{15,700}\approx 125\text{ yd}

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The length of a rectangle is 8 more than the width. The area is 105 square centimeters. Find the length and width of the rectang
sashaice [31]

Answer:

Width =  7 cm

Length = 15 cm

Step-by-step explanation:

Let width = w

Length = w + 8

Area of rectangle = 105 sq. cm

length * breadth = 105

(w + 8)*w = 105

Use distributive property

w² + 8w = 105

w² + 8w - 105 = 0

Sum = 8

Product = -105

Factors = 15 , -7   {15 +(-7) = 8 & 15*(-7) = -105}

w² - 7m + 15m - 105 = 0

w(w - 7) + 15(m - 7) = 0

(w - 7)(w + 15) = 0

Ignore w + 15= 0 as measurements will not be in negative value

w - 7 = 0

w = 7

Width = 7 cm

Length = 7 + 8 = 15 cm

8 0
2 years ago
What’s the square root of 13 to the nearest integer
Marianna [84]

Answer:

4

Step-by-step explanation:

First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.

The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).

Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.

4*4= 16

3*3=9

5*5=25

As you can see above 4 is the closest number to 13.

Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)

4 0
3 years ago
-3 × 15v can you answer this
Goryan [66]

Question

-3 × 15v can you answer this


Answer:

<h2>-45v</h2>

Step-by-step explanation:

-3 * 15v =

-45v


6 0
3 years ago
Which inequality describes the acceptable weights for the suitcase?
Yanka [14]

Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.

<h3>What is the acceptable weight for the suitcase?
</h3>

You didn't include the full question but this question can be answered based on the given options.

When inequalities are written, there is no inclusion of "or" which eliminates options A and C.

It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.

This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.

Find out more on inequalities at brainly.com/question/24372553.

#SPJ1

6 0
2 years ago
Suppose your friend multipled 1.2 and 2.6 and got 31.2. is that reasonable?
Dvinal [7]
Do you mean 3.12? i multiplied 1.2 x 2.6 and got 3.12
7 0
2 years ago
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