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
ohaa [14]
1 year ago
13

~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inc

hes more than its height. Ifthe area ofthe base of the prism is 60 square inches, what is the volume of the prism, in cubic inches?
SAT
1 answer:
3241004551 [841]1 year ago
3 0

Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60  (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

h² + h -12 =60

h² + h -72 = 0

Factoring the LHS we get

(h+9)(h-8) = 0

The solutions for h are

h + 9 = 0 ==> h = -9

h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

<u>Note</u>

We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

l = 8 + 4 = 12

You might be interested in
Place these events in the correct sequence: Neil Armstrong lands on the moon, Sputnik I, John Glenn orbits the Earth, NASA forme
Karo-lina-s [1.5K]

The correct sequence of the events is the following:

1. Sputnik I was the first artificial Earth satellite. The Soviet Union's Sputnik 1 satellite took to the skies on Oct. 4, 1957.

2. NASA was formed - The National Aeronautics and Space Administration (NASA) agency was was created in 1958 from NACA (National Advisory Committee for Aeronautics)

3. The Soviet pilot and cosmonaut Yuri Alekseyevich Gagarin completed an orbit of the Earth on 12 April 1961.

4. The astronaut John Glenn orbits the Earth on February 20, 1962.


Neil Armstrong lands on the moon,

5 0
3 years ago
Read 2 more answers
Who was the sixteenth century physician who published
Likurg_2 [28]

Answer:

It was "Andreas Vesalius"

Explanation:

3 0
2 years ago
Read 2 more answers
La mesa real estate broker michael hagans plans to begin listing or selling mobile homes. He must comply with all but one of the
Phantasy [73]

Based on the given information, the statement that La Mesa may not comply with, in his real estate broker is that he must only sell new mobile homes.

Mobile homes serves as large caravan or prefabricated structure that people use as a living accommodation.

And as a broker as regards to the question, he cannot only sell new mobile homes, he also sell old ones.

Therefore, option A is correct, because La Mesa may not comply with selling only new mobile homes as a real estate broker.

CHECK THE COMPLETE QUESTION BELOW.

La Mesa real estate broker Michael Hagans plans to begin listing or selling mobile homes. He must comply with all but one of the following statements. Which of these is NOT a requirement for Michael to list or sell mobile homes?a. He must only sell new mobile homes.b. He must only sell used mobile homes if they’ve been licensed by the California Department of Housing and Community Development.c. The mobile home must be capable of being transported over a road, with a hitch attached to the unit (or stored underneath it) and the axles attached to the frame.d. It is Michael’s responsibility to ensure the proper completion and delivery of the title to the buyer of the mobile

home.

Learn more about real estate broker at:

brainly.com/question/14319337

4 0
2 years ago
Which of the following does not have radial symmetry.
kari74 [83]

Answer:

Following? I think we need a picture?

3 0
2 years ago
Which of the following is true regarding telephone surveys in recent years
Digiron [165]

Making certain questions seem more complex is regarded as true about telephone surveys in recent years.

<h3>What is an Interview?</h3>

This is a type of conversation which has a unique structure of an individuals asking questions and the other answering them.  it can be done using different forms of technology such as video calls, telephones etc.

Due to the difference in signals and quality, the output may be inaudible at intervals and the questions may not be heard properly in this type of scenario.

This therefore leads to the questions seeming more complex and is therefore the reason why it was chosen as the most appropriate choice.

Read more about Telephone surveys here  brainly.com/question/12992237

#SPJ1

3 0
1 year ago
Other questions:
  • There are a total of _____ questions in the math section of the PSAT.
    13·1 answer
  • Question 9 of 40
    13·1 answer
  • Use mechanical weathering in a sentence
    12·1 answer
  • No interior das áreas ou disciplinas. Todas as disciplinas que constituem o currículo de formaç?o e n?o apenas as disciplinas pe
    7·1 answer
  • Intermittent activity means
    11·1 answer
  • If you could do on thing in the world what would you do?
    9·2 answers
  • Qui
    5·2 answers
  • Which statements are true about routers? check all that apply.
    14·1 answer
  • If 8 moles of h2 react with 6 moles of o2, how many moles of water can be produced?
    13·1 answer
  • What is digital wellbeing? ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!