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
Oxana [17]
3 years ago
15

Question

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

378 Cubic feet

Step-by-step explanation:

Given a rectangular prism shaped shed:

Area of the floor of the shed = 63 square feet.

Let the width of the shed=w

The length of the shed is 2  feet greater than the width.

Therefore: Length =w+2

Base Area = Length X Width

So: w(w+2)=63

w^2+2w-63=0\\w^2+9w-7w-63=0\\w(w+9)-7(w+9)=0\\(w-7)(w+9)=0\\w=7 ft, w\neq -9

Width =7ft

Length =9 ft

The height is 1 foot less than the width.

Height =7-1=6 ft

Volume of a rectangular prism = Base Area X Height

=63 X 6

=378 cubic feet

Therefore, the volume of the shed is 378 cubic feet.

You might be interested in
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
Zane each one eighth of a pizza later he is a half of the same Pizza to eat more the first time or the second time
Katyanochek1 [597]
Second time. hope this helped
3 0
3 years ago
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
Which is smaller 3.69 or 9.63?
BaLLatris [955]
3 is less than 9 there fore 3.69 os smaller than 9.63
3 0
3 years ago
Read 2 more answers
Type the integer that makes the following subtraction sentence true for Brainliest!!!
Lesechka [4]

Answer:

The answer; – 15

- 15 \:  \:  - 19 =  - 34

I hope I helped you^_^

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me ASAP!!
    9·1 answer
  • A random sample of 121 students from the University of Oklahoma had a sample mean ACT score of 23.4 with a sample standard devia
    6·1 answer
  • Andrew deposits $300 into an account that earns 2% interest each year. After the first year, Andrew has $306 in the account. Aft
    6·1 answer
  • Gomez found the masses of three rocks for a science project. The first rock had a mass of 19.28 grams the second rock had a mass
    11·2 answers
  • Hellpppp pleaseeeeeeeeeee
    13·2 answers
  • Fred spends $3.15 on 4 1/2 pounds of peanuts. How much did he pay for each pound of peanuts
    6·1 answer
  • Please answer this and put it in simplest form
    8·2 answers
  • This is new and didnt learn it in class how do i find area of a Square pyramid with two slant hieghts
    12·2 answers
  • please help me with this! this was due yesterday and i need to get it done but im stuck on this question
    14·2 answers
  • The cube root is the same as______
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!