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3 years ago

What is the length and width of a 864 square feet

1 answer:

3 0

The area doesn't tell you the dimensions. There are an infinite number of different answers, all with the same area but different dimensions.
Here are a few:
1 ft by 864 ft
2 ft by 432 ft
3 ft by 288 ft
4 ft by 216 ft
8 ft by 108 ft
16 ft by 54 ft
24 ft by 36 ft
27 ft by 32 ft.

The area of each of these is 864 square feet.

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Is (2, 2) a solution of the system y = x and x + 2y = 6?

Mariana [72]

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.

y = x, that is

2 = 2 ← True

x + 2y = 6, that is

2 + 2(2) = 2 + 4 = 6 ← True

Thus (2, 2) is a solution of the system

7 0

2 years ago

Read 2 more answers

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

3 years ago

Music Co charges a fee of $20 a month plus $1 per song Jams charges no monthly fee but $3 per song. How many songs would have to

NeTakaya

Answer:

10 songs

Step-by-step explanation:

20 + 1x = 3x

20 = 2x

10 = x

—

20 + 1(10) = 3(10)

20 + 10 = 30

30 = 30

4 0

2 years ago

Suppose that a committee is studying whether or not there is excessive time waste in our judicial system. It is interested in th

irina1246 [14]

Answer:000

Step-by-step explanation:

8 0

2 years ago

The cost of setting the type for a pamphlet is $15 and the cost of paper and printing is 25 cents per copy .How much will it cos

kari74 [83]

Answer:

$65

Step-by-step explanation:

It has a fee of $15. If each copy is $.25 each and 200 copies are wanted, multiply them together to get 50. Add 50 and 15 to get 65. It cost $65 for 200 copies.

7 0

2 years ago