Across which axis was point E reflected?

The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base are tilted. What is the vol

Aneli [31]

Answer:

Volume of the prism is 648 $cm^3$

Step-by-step explanation:

Given:

Base of the prism is rectangular in shape

Height of the prism = 6 cm

Base length of the prism= 12 cm

Base width of the prism= 9 cm

To Find:

Volume of the prism=?

Solution:

Volume of the prism ,

V= Base area of the prism x Height of the prism

Here in the figure base of the prism is in Rectangular form

So the base area of the prism = area of the rectangle

We know that the area of the rectangle is = length x height

Substituting the values

Area of the Rectangle = 12 x 9

Area of the Rectangle = 108

So the are of the base of the prism is 108 $cm^2$

Now

Volume of the prism,

V= 108 X 6

V= 648 $cm^3$

7 0

3 years ago

We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and

Orlov [11]

Answers:

<u>20 pounds</u> of the 95% concrete mix
<u>10 pounds</u> of the 80% concrete mix

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

0.95x+0.80y = 27

0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10

5 0

3 years ago

You are starting your own small business in Woodmore Town Center. You borrow $10,000 from the bank at a 9% rate for 5 years.

Anuta_ua [19.1K]

Follow the formula Interest=(Principal)(Rate)(Time)

So, the equation would be:

I= 10,000x0.09x5

This equals $4,500

So, the amount of interest is $4,500

6 0

3 years ago

On evaluating the expression 10(x - 20y) + 100x, the answer will be

MArishka [77]

Answer:

110x -200y

Step-by-step explanation:

10(x - 20y) + 100x

Distribute

10x-200y +100x

Combine like terms

110x -200y