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
Svetach [21]
3 years ago
12

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The hei

ght is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

You might be interested in
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
Mary sees 40 elephants and 15 baby elephants at the zoo. What is the ratio of elephants to baby elephants?
Natalija [7]

Answer:

8:3

Step-by-step explanation:

You divide them both by 5.

3 0
3 years ago
Read 2 more answers
The original price of this blazer is 180AED
lilavasa [31]

Answer:

65%

Step-by-step explanation:

Given data

Original price= 180AED

Selling price= 63AED

Required

% decrease

The expression for the decrease

% decrease= (original-selling)/original *100

subsitute

% decrease= (180-63)/180 *100

% decrease= 117/180 *100

% decrease=0.65 *100

% decrease=65%

Hence the percent decrease is 65%

7 0
3 years ago
What is the measure of angle b
ArbitrLikvidat [17]

Answer:

(C) 102 degrees

Step-by-step explanation:

All angles in a triangle must add up to 180 degrees. If you know 2 angles, you must know the last one by subtracting the other two from 180. If you subtract 50 and 28, the two known angles in this situation, from 180, you get 102. Therefor, the last angle must be 102 degrees, or choice C.

4 0
3 years ago
Read 2 more answers
What is 8.88 x 10 to the 4th power?
bixtya [17]

your answer should be 88800


6 0
4 years ago
Read 2 more answers
Other questions:
  • (4n + 2) + (2n - 3) (3n - 2) <br> Long answer.
    5·1 answer
  • Compare the numbers 5.0 and 0.5. How many times 0.5 is 5?
    11·2 answers
  • The table shows the cost for ordering a certain number of tacos what is the values of x if the cost is proportional to the numbe
    9·1 answer
  • Find the angle measure of an angle that cuts off 1/3 of a circle
    9·1 answer
  • In 1903, a paper published by Abigail Camp Dimon, discussed the effect of environment on the shape and form of two sea snail spe
    13·1 answer
  • Find the measure of ∠C.<br> A) 10° <br> B) 14° <br> C) 20° <br><br> D) 30°
    8·1 answer
  • A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
    11·1 answer
  • Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
    15·2 answers
  • In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the
    5·1 answer
  • Multiply 1/10x17/18 pls help I'll give u brainlest​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!