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9966 [12]
2 years ago
5

17 A room in the shape of a right rectangular prism is 3 meters high and 1.5 times as long as it is wide. If the volume of the r

oom is 4.5x cubic meters, what could x represent? A) The length of the room, in meters The width of the room, in meters The perimeter of the room's floor, in meters The area of the room's floor, in square meters B) C) D)
Mathematics
2 answers:
WARRIOR [948]2 years ago
5 0

Answer:

x represents the width of the room.

Step-by-step explanation:

Given :  A room in the shape of a right rectangular prism is 3 meters high and 1.5 times as long as it is wide.

Solution:

Height of rectangular prism = 3 m

Let the width of the rectangular prism be x

We are given that Length is 1.5 times width

So, Length of rectangular prism = 1.5x

Volume of rectangular prism =  Length \times Width \times Height

                                              =  1.5x \times b \times 3

                                              =  4.5x^2

Now we are asked what x represents

So, x represents the width of the room.

Hence  x represents the width of the room, in meters .

blsea [12.9K]2 years ago
4 0

The right question is as follows.

A room in the shape fo a right rectangular prism os 5 meters high and 1.5 times as long as it is wide. Ifthe volume of the room is 4.5x² cubic meters, what could x represent?

A) The length of the room, in meters.

B) The width of the room, in meters

C) The perimeter of the room's floor, in meters

D) The area of the room's floor, in square meters.

Answer: D) The area of the room's floor, in square meters.

Step-by-step explanation: The volume of a right rectangular prism is calculated as:

V = area of base*height

and area of base, as it is a rectangle is: A = length.width

Length and width are x and 1.5x, respectively.

Area of base is: A = 1.5x*x = 1.5x²

Therefore, Volume is:

V = 1.5x²*3

V = 4.5x² m³

In conclusion, x represents the area in m², since every measurement is in that unit.

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Answer:

Company A and B

Step-by-step explanation:

For company A- 170 is the cost for one hour

For company B- 170 is the cost for one hour

For company C- 175 is the cost for one hour

So company A and B offer the best deal since they both offer $170 per hour.

8 0
2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}
\begin{tabular}{ |c |c |c }
 x & g(x) \\
 -1 & -22 \\
 0 & -20  \\
1 & -18   
\end{tabular}
\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
Read 2 more answers
Which algebraic expression represents the phrase "seven more than half of a number"?
Vika [28.1K]

Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

Then 7 more than  (add)

1/2x +7

4 0
2 years ago
What's the angle of x?
vichka [17]

Answer:

60 as corresponding and alternate angles r equal

Step-by-step explanation:

3 0
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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

s = \sqrt{24200}

s = \sqrt{242 \times 100}

s = \sqrt{100 \times 121 \times 2}

s = 10 \times 11\sqrt{2}

s = 110\sqrt{2}

P = 4s

P = 4 \times 100 \sqrt{2}

P = 440 \sqrt{2}

The perimeter is irrational.

3 0
2 years ago
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