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]
2 years 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]2 years 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
Which of these refers to the average distance or difference of a score from the mean of the data set?
alexgriva [62]

The influential statistics are used to analyze the data sample so that a conclusion about the information is reached. The standard deviation is the average distance and the mean of the data set.

<h3>What is the standard deviation?</h3>

Standard deviation in statistics is used to denote the dispersion of the information of the mean values also the average distance of the individual data to the mean is represented.

This allows the understanding of the data collected by the analyzer and lets the easy comparison of the information that was collected for the analysis of the research topic.

Learn more about standard deviation here:

brainly.com/question/938764

#SPJ1

3 0
2 years ago
Sayid drew an energy pyramid.
My name is Ann [436]
Type of producer is correct
3 0
4 years ago
Read 2 more answers
The vibration in a plucked guitar string travels at a speed of 410 meters per second. How far, in centimeters will the vibration
ipn [44]

Answer:

16.4 cm/0.4 ms

Explanation:

1: We know that the travel rate is 410 meters per second. We want to find a way in which we can cancel meters or seconds, and we can do that by multiplying 410m/1s with 100 cm/1m.

\frac{410 m}{1s} * \frac{100cm}{1m}

2. Now we want to get rid of that s, seconds, and we do so by multiplying prior fractions by 1s/1000ms.

\frac{410 m}{1s} * \frac{100cm}{1m} * \frac{1s}{1000ms} \\

3. Now we can diagnollay cross out m, and s. Leaving us with cm on top, and ms on the bottom. Which is what we want because we are calculating how many cm are for every .04 ms.

4: After that, you can multiply 410 and 100, to get 4,100. Whih leaves you with 4,100cm over 1000ms. Simplifying this, gives you 41, but that is NOT your answer. 41 cm, is for every ms, NOT every .04

5. Hence, you multiply 41 by .04 and get 16.4cm/.04ms.

4 0
3 years ago
Read the details and background knowledge in the chart. Choose
kkurt [141]

Answer: Doctor Dolittle feels sorry for

the crocodile

Explanation:

Inference simply means a conclusion that we can reach based on the evidence that we've.

Since the details from the text states that The crocodile wept and begged that it should be allowed to stay and that the doctor didn't have the heart to turn him out.

This shows that the doctor felt sorry fur the sad crocodile and couldn't turn him out.

6 0
3 years ago
Please select the word from the list that best fits the definition the unintended and unrecognized consequence of an element of
Vinvika [58]

The unintended and unrecognized consequence of an element of society is generally referred to as a latent function.

<h3>What is a latent function?</h3>

A latent function can be defined as the functions of various organs, agencies, business enterprises, private or government (public) institutions of society that are categorized as being unintended and unrecognized consequence.

This ultimately implies that, latent functions refers to any of those function that can neither be perceived nor proposed. Thus, latent functions are typically considered as being perceived, expressed, or planned by the general public (population).

In this context, we can infer and logically deduce that a latent function is generally referred to as the unintended and unrecognized consequence of an element of society.

Learn more latent function about here: brainly.com/question/11114470

#SPJ1

3 0
2 years ago
Other questions:
  • What are two reasons why the terrestrial planets formed closer to the Sun after the supernova event that initiated the formation
    12·1 answer
  • The expression 20L + 25G – 10 calculates the number of dollars that the ABC Lawn Company makes from mowing L lawns and raking G
    12·1 answer
  • What are some signs that a bear is or has been in the area
    11·1 answer
  • In the last paragraph, the words “reflected," "lucidly," and "felt"
    7·2 answers
  • Suppose a new planet were discovered between Jupiter and Saturn. What can you infer about the length of the new planet's year?
    13·1 answer
  • CONOCEN ALGUNA REGION NATURAL QUE ESTE EN PELIGRO POR LA TALA EXESIBA O ALGUNA ESPESIE DE ANIMAL QUE ESTE EN RIESGO POR LA EXPLO
    5·1 answer
  • Aaron is making molasses cookies. The pieces of dough he puts on the cookie sheet are large, soft, dark brown blobs that smell l
    9·2 answers
  • Point (a) lies on the graph of the equation 3y=2x-4. Find the value of a.
    15·1 answer
  • Which characteristics do Jupiter and Saturn share? Check all that apply.
    5·2 answers
  • Stem cells can become any type of cell in the human body.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!