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
Inessa [10]
3 years ago
15

A return of the prison with the length of Elda with a W in the heights of age has a volume of LWH what is the volume of the pris

on which has a base of 5M by 3 Mand the height of 4M
Mathematics
1 answer:
algol133 years ago
8 0

Answer:

The volume of the prison is  60 m³.

Step-by-step explanation:

Cuboid is a prism which has length,width and height.

The total surface area of a cuboid is

=2(length×width+width×height+length×height)

The volume of a cuboid is

=Length×width×height.

Given that, the dimension of the base 5 m by 3 m and the height is 4 m.

The volume of the prison is

=(5×3×4) m³

=60 m³.

You might be interested in
Use a model to divide 2÷1/3​
frutty [35]

6

.

.....

.

........

....ncncj

8 0
3 years ago
The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability
Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0
4 years ago
An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur
den301095 [7]

Answer:

24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square  metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid=l\times b\times h

Box is in cuboid shaped

Therefore, volume of box=6(x-12)(x-12)

6(x^2-24x+144)=864

x^2-24x+144=\frac{864}{6}

x^2-24x+144=144

x^2-24x+144-144=0

x(x-24)=0

Then ,x=0 , x-24=0

x=24

x=0 is not possible because side of square  metal sheet can not be zero

Therefore, x=24

All sides of square metal sheet are equal.

Hence, side of square metal sheet =24 feet

4 0
4 years ago
An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take o
Lubov Fominskaja [6]
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.

Please see the attached picture for the work.

51 minutes is the longer time.
34 minutes for the other machine.

6 0
3 years ago
The number 35 has the property that when its digits are both increased by 2, and
seropon [69]

Answer: The sum is 127

Step-by-step explanation:

A 2-digit number N = ab can be written as (where a and b are single-digit numbers)

a*10 + b.

Now, we want that:

(a + 2)*(b + 2) = a*10 + b.

So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)

We have:

(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b

a*b + 2*b - b + 4 = a*10 - a*2

a*b + 4 + b = a*8

a*b + 4 + b - a*8 = 0.

Now we can give one of the variables different values, and see if the equation has solutions:

>a = 1:

1*b + 4 + b - 8 = 0

2*b - 4 = 0

b = 4/2 = 2

Then the number 12 has the property.

> if a = 2:

2*b + 4 + b -16 = 0

3b -12 = 0

b = 12/3 = 4

The number 24 has the property.

>a = 3 is already known, here the solution is 35.

>a = 4.

4*b + 4 + b - 8*4 = 0

5*b + 4 - 32 = 0

5*b = 28

b = 28/5

this is not an integer, so here we do not have a solution.

>if a = 5.

5*b + 4 + b - 8*5 = 0

6b + 4 - 40 = 0

6b - 36 = 0

b = 36/6 = 6

So the number 56 also has the property.

>if a = 6

6*b + 4 + b - 8*6 = 0

7b + 4 - 48 = 0

7b - 44 = 0

b = 44/7 this is not an integer, so here we do not have any solution.

>if a = 7

7*b + 4 + b -8*7 = 0

8b -52 = 0

b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.

>if a = 8

8*b + 4 + b -8*8 = 0

9*b + 4 - 64 = 0

9*b = 60

b = 60/9 this is not an integer, so we here do not have any solution:

>if a = 9

9*b + 4 + b - 8*9 = 0

10b + 4 - 72 = 0

10b -68 = 0

b = 68/10 again, this is not an integer.

So the numbers with the property are:

12, 24, 35 and 56

And the sum is:

12 + 24 + 35 + 56 =  127

8 0
3 years ago
Other questions:
  • What is 0.76 as a fraction in the simplest form
    12·1 answer
  • A reasonable estimate for the mass of a baby would be 7 __ pounds
    9·2 answers
  • Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
    5·2 answers
  • In a lab experiment, 10 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
    13·2 answers
  • Which of the following fraction pairs is equivalent?
    11·1 answer
  • Will give brainliest
    9·1 answer
  • When working in trigonometry, you typically measure angles in
    12·1 answer
  • (a) A square has a perimeter of 20 m. What is the length of each side?
    6·1 answer
  • 5. given the vector [-5,12], find each of the following vectors. a. same direction, twice as long. b. same direction, length 1 (
    9·1 answer
  • Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represprobability22) Two b
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!