1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rosijanka [135]
3 years ago
8

On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.

The brochure indicates that the truck can hold 504 ft3. What are the dimensions of the cargo space? Assume that the cargo space is in the shape of a rectangular solid.
Mathematics
1 answer:
lidiya [134]3 years ago
5 0

Answer:

12ft \times7ft \times6ft

Step-by-step explanation:

Given that truck can hold = 504 ft^{3} i.e.

Volume, V = 504 ft^{3}

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length \times Width \times Height

Putting the given values and conditions:

504 = 12 \times w \times (w-1)

\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft \times7ft \times6ft.

You might be interested in
What’s the answer for this?
fgiga [73]

Answer:

1.98

Step-by-step explanation:

Use SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Here, we're given the hypotenuse is 4.5, and we want to find the side opposite of the 26° angle.  So we should use sine.

sin 26° = x / 4.5

0.44 = x / 4.5

x = 1.98

7 0
3 years ago
what's the slope? simplify your answer and write it as a proper fraction,improper fraction or integer ​
dybincka [34]

Answer:

\frac{1}{2}

Step-by-step explanation:

In this graph, when you count rise and run, rise would be 1 and run would be 2. Because slope is also known as rate of change and rate of change is also known as rise over run, the slope will be 1 over 2.

8 0
3 years ago
Please help and show work
gladu [14]

Answer:

A

Step-by-step explanation:

First I converted the fractions into decimals to make it easier to solve.

2 1/2 —> 2.5

1 3/4 —> 1.75

Then I added the two decimals together.

2.5 + 1.75 = 4.25

Then I divided this number by 100 (the number of cups in one bag)

100/4.25=23.529

With this equation I know that one bag lasts 23 full days.

This is almost a month, and so it would not make sense for the answers to be B, C, or D.

Hope this helped

8 0
2 years ago
Read 2 more answers
Solve this equation 3+5/2x=1/2x-8
guajiro [1.7K]

Answer:

34

Step-by-step explanation:

3 0
3 years ago
In the scale used on a blueprint 1/4 inch represent 3 feet on the blueprint what is the length of the room with an excellent of
BigorU [14]
You would do 24 times 3 and get 72 or divide 24 by 1/4=0.25
3 0
3 years ago
Other questions:
  • SIMPLIFY (81/16}-3/4 X {(25/9)-3/2 DIVIDED BY (5/2)-3}
    14·1 answer
  • A stadium has 45,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in
    10·1 answer
  • EASY 35 POINTS!
    5·1 answer
  • A circle with circumference of 10 has area of 100.<br> True or False
    8·2 answers
  • 4K on tiktok? pls follow<br> at peachyxkylee
    7·2 answers
  • Help please! ASAP!!
    7·1 answer
  • ...what are consecutive multiples ​
    7·1 answer
  • Help, with an explanation please
    14·2 answers
  • Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
    10·1 answer
  • N (ENG) Lección (ESP)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!