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SSSSS [86.1K]
3 years ago
9

Each side of a square is increased by 3 inches. The perimeter of the new square is 40 inches more than twice the length of the s

ide of the old square what is the length of the side of the new square
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Length of side of new square is 17 inches

Step-by-step explanation:

  • Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x

Perimeter of a square = 4 × side

⇒ 4(x + 3) = 40 + 2x

⇒ 4x + 12 = 40 + 2x

⇒ 2x = 28

⇒ x = 14 inches

  • Step 2: Find length of side of the new square

⇒ x + 3 = 17 inches

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Answer:  School Y has 4 points and School X has 12 points.

Explanation:

Let the number of points School Y has be x

Let the number of points School X has be 3x

According to question, we get

3x-x=8\\\\2x=8\\\\x=\frac{8}{2}\\\\x=4

So, the number of point School Y has 4.

and number of points School X has

3x=3\times 4=12

Hence, School Y has 4 points and School X has 12 points.



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What property is shown 7*(m+9)=(7*m)+(7*9)
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This is the distributive property of multiplication.

Step-by-step explanation:


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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man
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Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

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\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

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3 years ago
What is the shaded portion of the circle
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Answer:

(5\pi-11.6)\ ft^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

A=\pi r^{2}

we have

r=5\ ft

substitute

A=\pi (5)^{2}

A=25\pi\ ft^{2}

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

so

by proportion find out the area of a sector by a central angle of 72 degrees

\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}

step 3

Find the area of triangle

The area of the triangle is equal to

A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

(5\pi-11.6)\ ft^{2}

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