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Alex17521 [72]
3 years ago
9

An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total am

ount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?
Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

The total amount of water needed is 540 cubic inches.

Step-by-step explanation:

A cubic prism has three dimension. Lenght l, width w and height h.

It's volume is:

V = l*w*h

In this question:

l = 12.5, w = 6, h = 8

Dimensions in inches, so the volume will be in cubic inches.

V = 12.5*6*8 = 600

The volume is 600 cubic inches.

What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?

This is 90% of 600. So

0.9*600 = 540

The total amount of water needed is 540 cubic inches.

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The width of a rectangular rug is 6 feet if the perimeter is 24 feet what is the area of the rug?
babymother [125]

Answer:

36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

12 feet / 2 feet = 6 feet

To find the area of a rectangle you multiply length times width, which in this case both are 6 feets.

6 feet x 6 feet = 36 feet squared

6 0
3 years ago
When Natalie finishes drawing the large triangle on the poster board, what will be the approximate measure of side BC? Round to
gtnhenbr [62]

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

7 0
3 years ago
Which of the following represents a function that is reflected over the x-axis and shifted up 3
Travka [436]

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-'  before the x^2 reflects it in the x-axis,  and the + 3 shifts it up 3 units.

7 0
3 years ago
(07.03 MC)
Umnica [9.8K]

The probability of pulling a blue marble and the coin landing tails up is 360/2500

<h3>How to determine the probability?</h3>

The tables of values are given as:

Color     Times

Blue        18

Green     20

Yellow    12

Heads    Tails

20          30

The probability of obtaining a blue marble is:

P(Blue) = 18/50

The probability of landing tails up is:

P(Tail) = 20/50

The required probability is:

P = P(Blue) * P(Tail)

This gives

P = 18/50 * 20/50

Evaluate the product

P = 360/2500

Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500

Read more about probability at:

brainly.com/question/25870256

#SPJ1

8 0
2 years ago
A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran
gavmur [86]

Answer:

the answer is in the attached image below

Step-by-step explanation:

4 0
3 years ago
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