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tester [92]
2 years ago
14

Sports American football fields measure 100 yards long between the end zones, and are 53 1_3yards wide. Is the length of the dia

gonal across this field more or less than 120 yards? Explain.
Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

113 \frac{1}{3} Yards

Step-by-step explanation:

solving using  Pythagorean Theorem

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2 square root

= 113 \frac{1}{3}

Base on the explanation above we can tell that the length of the diagonal across this field is less than 120 yards.

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Four friends earn $ 24 washing cars and c dollars cutting grass. They want to divide the total amount into equal parts.
olganol [36]

Answer:

$15.50

Step-by-step explanation:

From washing cars, each friend should get $24/4, or $6.

From cutting grass, each friend should get $38/4, or $9.50.

Thus, each friend is due ($6 + $9.50), or $15.50.

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3 years ago
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3 years ago
Justin has a savings account. He started with $70 in his account, he deposits $15 into the account each week. What is the total
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3 years ago
Use the number line to add the fraction. A number line ranging from negative 1 and 3 tenths to positive 9 tenths Drag and drop t
Lunna [17]

Answer:

1/10

Step-by-step explanation:

1

Find the Least Common Denominator (LCD) of 25,12\frac{2}{5}, \frac{1}{2}​5​​2​​,​2​​1​​.

Method 1: By Listing Multiples

List out all multiples of each denominator, and find the first common one.

Multiples of 5

: 5, 10, ...

Multiples of 2

: 2, 4, 6, 8, 10, ...

Therefore, the LCD is 101010.

Method 2: By Prime Factors

Since 5,25,25,2 are prime numbers themselves, we simply multiply them to get the LCD.

Therefore, the LCD is 5×2=105\times 2=105×2=10.

LCD = 101010

2

Make the denominators the same as the LCD.

−2×25×2+1×52×5-\frac{2\times 2}{5\times 2}+\frac{1\times 5}{2\times 5}−​5×2​​2×2​​+​2×5​​1×5​​

3

Simplify. Denominators are now the same.

−410+510-\frac{4}{10}+\frac{5}{10}−​10​​4​​+​10​​5​​

4

Join the denominators.

−4+510\frac{-4+5}{10}​10​​−4+5​​

5

Simplify.

110\frac{1}{10}​10​​1​​

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