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
JulsSmile [24]
3 years ago
5

A rectangular pyramid has a volume of 1.512 in 3, a height of 12 in., and a base length of 21 in. What is the width of its base?

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

18 inches

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ Ah

where A is the area of the base, and h is the height of the pyramid.

The base is a rectangle.  Area of a rectangle is width times length, so:

V = ⅓ wlh

Plugging in values and solving:

1512 = ⅓ w (21) (12)

w = 18

The width of the base is 18 inches.

You might be interested in
Y+1=3(x−4) what is x and y
kykrilka [37]

Answer:

y=−13

These are the x

and y intercepts of the equation y+1=3(x−4)

.

x-intercept: (133,0)

y-intercept: (0,−13)

Step-by-step explanation:

4 0
3 years ago
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Marta_Voda [28]

Answer:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

Step-by-step explanation:

Assuming the following dataset:

Speed   42-45  46-49  50-53  54-57  58-61

Freq.         21        15        6           4          2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}

And is useful construct a table like this one:

Speed     Freq    Midpoint   Freq*Midpoint

42-45       21            43.5       913.5

46-49       15            47.5        712.5

50-53       6             51.5         309

54-57        4            55.5         222

58-61        2             59.5        119

Total       48                           2276

And the mean is given by:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

6 0
3 years ago
Solve each equation.<br> e. log:(6x – 3) = 2
Ipatiy [6.2K]

Answer:

0.9542

Step-by-step explanation:

8 0
3 years ago
What is the equation for |3x-4| = |2x+3|?
Orlov [11]

Answer:

x=-1

Step-by-step explanation:

The lines stand for absolute value ( how far a number is from 0), so each number should be a positive, then you just solve for x. Isolate x, then divide on both sides, and you should get -x=1, which is equal to x=-1.

7 0
3 years ago
15 POINTS!! WILL MARK BRAINLIEST!!! Suppose you draw one card from a standard deck of 52 cards. A standard deck of cards has 4 o
Trava [24]

Answer:

A standard deck of cards has 52 cards.

probability of king is 4/52 and probability of a queen is 4/52

so if you do 4/52 + 4/52 = 8/52

8/52 in simplest form is 2/13

Step-by-step explanation:

Hope this helps Have a nice day

5 0
3 years ago
Other questions:
  • An experimental psychologist is interested in whether the color of an animal's surroundings affects learning rate. He tests 16 r
    6·1 answer
  • a cable installer charges $42.50 per hour plus a $60.00 service charge your fathers firm hires him to hook up his companys inter
    11·1 answer
  • If Kevin makes c toys in m minutes, how many toys can he make per hour?
    6·1 answer
  • A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat, Jeremy knows that i
    6·2 answers
  • Which statement illustrates the identity property of multiplication?
    10·2 answers
  • Translate this sentence into an equation
    6·1 answer
  • Marty is explaining to Susan how to solve the following problem, -4 – (-5)
    10·1 answer
  • Help I will give brainliest
    14·2 answers
  • What is the value of x in the equation x + 5.1 = 0?
    5·2 answers
  • What is the area of the shape?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!