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2 years ago

8. The perimeter of a square is 48 cm. what is the area, in cm2?

Mathematics

2 answers:

s2008m [1.1K]2 years ago

7 0

Answer:

144 cm²

Step-by-step explanation:

(48 / 4)² = 12² = 144

KonstantinChe [14]2 years ago

5 0

Answer:

$\frac{48}{4} = 12 \\ \\ area = 12 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 144 {cm}^{2}$

hope this helps you....

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The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than it length. Find the length a

lesya [120]

P = L + L + w + w

72 = 2(L) + 2(L-4)

Distribute

72 = 2(L) + 2(L) - 8

Add like terms

72 = 4(L) - 8

Subtract 8 from both sides

64 = 4(L)

Divide both sides by 4

16 = L

The length is 16. Now substitute that in the equation for finding w.

w = L - 4

w =

4 0

3 years ago

Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona

lina2011 [118]

Answer:

$Tower 4 = 23.9cm$

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

$X + Z = 15.6$ ----- Equation 1

$X + Y = 18.3$ ----- Equation 2

$Z + Y = 13.9$ ----- Equation 3

Subtract equation 1 from 2

$(X + Y = 18.3) - (X + Z = 15.6)$

$X - X + Y - Z = 18.3 -15.6$

$Y - Z = 18.3 -15.6$

$Y - Z = 2.7$ ---- Equation 4

Add Equation 4 to Equation 3

$(Y - Z = 2.7) + (Z + Y = 13.9)$

$Y + Y - Z + Z = 2.7+ 13.9$

$2Y = 2.7+ 13.9$

$2Y = 16.6$

Divide both sides by 2

$\frac{2Y}{2} = \frac{16.6}{2}$

$Y = \frac{16.6}{2}$

$Y = 8.3cm$

Substitute $Y = 8.3cm$ in Equation 2 and 3

$X + Y = 18.3$ ----- Equation 2

$X + 8.3 = 18.3$

Subtract 8.3 from both sides

$X + 8.3 - 8.3 = 18.3 - 8.3$

$X = 18.3 - 8.3$

$X = 10cm$

$Z + Y = 13.9$ ----- Equation 3

$Z + 8.3 = 13.9$

Subtract 8.3 from both sides

$Z + 8.3 - 8.3 = 13.9 - 8.3$

$Z = 13.9 - 8.3$

$Z = 5.6cm$

So, we have that

$X = 10cm$

$Y = 8.3cm$

$Z = 5.6cm$

The question states that the 4th tower is made up of the three shapes;

This implies that;

$Tower 4 = X + Y + Z$

$Tower 4 = 10cm + 8.3cm + 5.6cm$

$Tower 4 = 23.9cm$

The height of the 4th tower is 23.9cm

8 0

3 years ago

5. An investment doubles in value every 9 years. What was the starting value of the investment if

arlik [135]

Answer:

16,00

Step-by-step explanation:

9 years is the (time)

divide the 27 years by 9 to see how many times it doubles

the ans is 3

now simply divide the value which is $4,800 by the 3

this gives you 1,600

7 0

2 years ago

Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of 5.

4vir4ik [10]

The slope is undefined, if the line is vertical the slope equation m=(change in y)/(change in x) becomes undefined because youd be dividing by zero

3 0

3 years ago

Read 2 more answers

What is the value of x in the equation -5/8x =-160

Crank

Answer:

256

Step-by-step explanation:

1. Divide both sides by -5/8

-5/8x/-5/8 -160 divided by -5/8

When you do that you get 256

4 0

3 years ago

8. The perimeter of a square is 48 cm. what is the area, in cm2?​

8. The perimeter of a square is 48 cm. what is the area, in cm2?