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sweet-ann [11.9K]
3 years ago
5

Dustin is buying carpet for the living room. How many square feet of carpet will he need to buy?

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Complete Question:

Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width

is 11 ft, how many square feet of carpet does he need to buy?

Answer:

231 ft²

Step-by-step explanation:

==>GIVEN:

Length of room (L) = 21 ft

Width of room (W) = 11 ft

==>REQUIRED:

Square feet of carpet to be bought = area of the rectangular room

==>SOLUTION:

The room to be covered with carpet is rectangular in shape. In order to ascertain the square feet of carpet to be bought, we need to calculate the area of the room by using the formula for area of rectangle.

Thus, area of rectangle (A) = Length (L) × Width (W)

A = 21 × 11

A = 231 ft²

Square feet of carpet to be bought = 231 ft²

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A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Ahat [919]

Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0
3 years ago
Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lu
MAVERICK [17]

Answer:

16/21 dresses

Step-by-step explanation:

3/4 · k hours: 4/7 · k dresses for any constant k

If we want 1 hour, then k will need to be 4/3

4/3 × 4/3 hours: 4/7 × 4/3

1 hour = 16/21 dresses

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3 years ago
Find the slope and y intercept
RUDIKE [14]

Answer:

Slope: 1/2

y-intercept: -2

8 0
3 years ago
Helpppp? pleaseeee asap
OleMash [197]

Answer:

The answer to your question is the second choice

Step-by-step explanation:

Data

Large rectangle                        Small rectangle

base = 15 ft                                 base = 11 ft

height = 13 ft                               height = 9 ft

Process

1.- Express the area of the large rectangle

Area = base x height

Substitution

Area = (15)(13)

2.- Express the area of the small rectangle

Area = (11)(9)

3.- Write the area of the shaded region

Shaded area = Area of the large rectangle - Area of the small rectangle

-Substitution

Shaded area = (15)(13) - (11)(9)

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3 years ago
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Answer: MATHHHHHHHHHH

Step-by-step explanation:

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3 years ago
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