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gizmo_the_mogwai [7]
3 years ago
9

1. Benji is an architect. He designed a house and drew a blueprint to show his client. The scale of his blueprint is 1 inch: 4 f

eet. One of the bedrooms on the blueprint is a rectangle measuring 3 inches by 4.5 inches. What is the area of that bedroom in real life? Show all work.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The area of that bedroom in real life is of 216 square feet.

Step-by-step explanation:

Real dimensions:

One of the bedrooms on the blueprint is a rectangle measuring 3 inches by 4.5 inches.

The scale is that each inch on the drawing represents 4 feet in real measure.

So the dimensions of the bedroom are:

3*4 = 12 feet by 4.5*4 = 18 feet.

What is the area of that bedroom in real life?

Rectangular bedroom, so the area is the multiplication of the dimensions.

12*18 = 216 square feet.

The area of that bedroom in real life is of 216 square feet.

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anastassius [24]
I would say the answer is 2
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the answer is 3

Step-by-step explanation:

4 0
3 years ago
Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid
AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

brainly.com/question/12917973

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5 0
2 years ago
Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
3 years ago
A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
NARA [144]

Answer:

D

Step-by-step explanation:

since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)

Midpoint formula:

given two points, (x1, y1) and (x2, y2)

the midpoint is ((x1+x2)/2, (y1+y2)/2)

-3+x2 = 2*2

x2 = 7

4 0
3 years ago
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