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3 years ago

A rectangular driveway is 8 feet wide and it has an area of 112 square feet. How long is the driveway?

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Given:

A rectangular driveway is 8 feet wide and it has an area of 112 square feet.

We need to determine the length of the driveway.

Length of the driveway:

The length of the driveway can be determined using the formula,

$Area=length \times width$

where Area = 112 square feet and width = 8 feet.

Substituting the values, we have;

$112=length \times 8$

Dividing both sides by 8, we get;

$14=length$

Hence, the value of the length is 14 feet.

Thus, the length of the driveway is 14 feet.

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A trapezoid has bases of lengths 13 cm and 17 cm. The

Vedmedyk [2.9K]

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = $\frac{1}{2}$ × 9 × (13 + 17)

= 0.5 × 9 × 30

= 135 cm²

3 0

3 years ago

Which expression is equivalent to (picture attached)

fomenos

Answer:

Its the last one a^2/b.

Step-by-step explanation:

(a^6 b^-3)^1/3

= a ^(6 * 1/3) b^(-3*1/3)

= a^2b^-1

= a^2/b.

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3 years ago

Read 2 more answers

A store charges $13.75 for 5 boxes of cookies. A second store charges $9.00 for 4 boxes of cookies, but you have to buy a gal

belka [17]

Answer: The number of boxes of cookies that makes the costs equal is 3

Step-by-step explanation:

A store charges $13.75 for 5 boxes of cookies. This means the charge per cookie is 13.75/5 = $2.75

Therefore, for x cookies, the store charges 2.75 × x = $2.75x

A second store charges $9.00 for 4 boxes of cookies. This means the charge per cookie is 9/4 = $2.25

Therefore, for x cookies, the store charges 2.25 × x = $2.25x but you have to buy a gallon of milk for $1.50 to get that deal.

This means that at the second store, the charge for x cookies will be

2.25x + 1.50. Therefore, the cost model equations for both boxes are

Cost of x boxes cookies at first store, C(x)= $2.75x

Cost of x boxes of cookies at second store, C(x) = 2.25x + 1.50

To find number of boxes of cookies that make both costs equal,

2.75x = 2.25x + 1.50

2.75x - 2.25x = 1.50

0.5x = 1.5

x = 1.5/0.5 = 3

5 0

3 years ago

Please help! :)

sweet-ann [11.9K]

Answer:

Second option is correct

$Arc\ length = \frac{3}{4} \pi\ in$

Step-by-step explanation:

Given:

Central angle = 15°

Radius of the circle = 9 in

Arc length = ?

Given formula is

$\frac{Arc\ length}{Circumfrance} = \frac{n}{360}$

Where n is the central angle of the sector.

Write the given formula for Arc length of the sector.

$Arc\ length = Circumfrance\times \frac{n}{360}$

We know that the the circumference of the circle is $2\pi r$ , where r is the radius of the circle,

$Arc\ length = 2\pi r\times \frac{n}{360}$

Now we substitute central angle value and radius value in above equation.

$Arc\ length = 2\pi 9\times \frac{15}{360}$

$Arc\ length = 18\times \pi \frac{15}{360}$

$Arc\ length = \frac{18\times 15}{360} \pi$ ----------( $\frac{18}{360}=\frac{1}{20}$ )

$Arc\ length = \frac{15}{20} \pi$

Divide the numerator and denominator by 5.

$Arc\ length = \frac{3}{4} \pi\ in$

Therefore the arc length of the sector is $\frac{3}{4} \pi\ in$

4 0

3 years ago

Help X(-X^4)(-x^4)=

Kruka [31]

X(-x^4)(-x^4)=

The answer is x^9

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3 years ago