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3 years ago

9

Euclid Park is shaped like a square, with side length s, and has an area of 121 square kilometers. This equation shows the area

of the park.
= 121
What is the perimeter of the park?
A. 11 km
B. 22 km
C. 44 km
D. 121 km

1 answer:

Harrizon [31]3 years ago

3 0

Answer:

Step-by-step explanat:44

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Select the correct answer. Find the quotient of (5+4i)/(6+8i) , and express it in the simplest.

Nana76 [90]

Answer:

$\frac{31}{50}-\frac{4i}{25}$

Step-by-step explanation:

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3 years ago

The sum of two numbers is 100. The different between them is 56. What is the larger number?

m_a_m_a [10]

<h2><u>An</u><u>swer</u><u>:</u><u>-</u></h2>

$\pink{\bigstar}$ The larger number is $\large\leadsto\boxed{\tt\purple{78}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Given</u><u>:</u><u>-</u></h3>

Sum of two numbers is 100.

Difference between the numbers is 56.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>To</u><u> </u><u>Find</u><u>:</u><u>-</u></h3>

The larger number = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Solut</u><u>ion</u><u>:</u><u>-</u></h3>

Let the two numbers be 'x' and 'y' respectively.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<u>According to the question:-</u>

✯ Sum of two numbers is 100.

➪ $\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Also,

✯ Difference between the numbers is 56.

➪ $\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• <u>Adding</u><u> </u><u>eq</u><u>uation</u><u> </u><u>[</u><u>1</u><u>]</u><u> </u><u>a</u><u>nd</u><u> </u><u>equat</u><u>ion</u><u> [</u><u>2</u><u>]</u><u>:</u><u>-</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf (x + y) + (x - y) = 100 + 56$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x + y + x - y = 156$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 2x = 156$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x = \dfrac{156}{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bold\red{x = 78}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• <u>Subst</u><u>ituting</u><u> </u><u>the</u><u> </u><u>va</u><u>lue</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>equa</u><u>tion</u><u> </u><u>[</u><u>1</u><u>]</u><u>:</u><u>-</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x + y = 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 78 + y = 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf y = 100 - 78$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bold\red{y = 22}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the numbers are 78 and 22.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The larger number is 78.

3 0

3 years ago

Solve for x:<br> 4.5x = 56.25<br><br> 1. x = 60.75<br> 2. x = 12.5<br> 3. x = 253.125

Paul [167]

Answer:

2. x = 12.5

Step-by-step explanation:

x=56.25÷4.5=12.5

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3 years ago

Find the length of CD to the nearest tenth of a meter will give brainliest

anygoal [31]

Answer:

Step-by-step explanation:

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3 years ago

Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:

Rzqust [24]

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain $2\frac{1}{2}$ miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

$2\frac{1}{2}$ and 2.1

$2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1$

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting $2\frac{1}{2}$ and 2.1 on the number line.

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3 years ago