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Igoryamba
3 years ago
5

What is the volume of the following rectangular prism?

Mathematics
2 answers:
Marianna [84]3 years ago
4 0

Answer:

The volume is 7.9 units

Step-by-step explanation:

Natali5045456 [20]3 years ago
3 0

Answer:

The volume of the rectangular prism is 13 1/2 units².

Step-by-step explanation:

Given: Width = 5/2 units

Area of one face 27/5 units²

The volume of a rectangular prism follows the formula V = l  w h, where l is the length, w is the width, and h is the height.

However, we don't need to determine the length and the height of the prism since the area of the length x height is already given - 27/5 units².

So, we can just multiply V = (5/2)(27/5) = 13 \frac{1}{2} .

Hope this helps. :D

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Determine if the relation is a function. In your handwritten work, explain why or why not.
Anna35 [415]

Answer:

Step-by-step explanation:

Its not a function. The reason its not a function is because it doesnt pass the vertical line test. You could graph these points physically or you could think about it. The domain is the x value, while the range is the allowed y values. So by having the same x value relate to two different y values, just makes no sense. Imagine the function is x+4 and we are given in that graph that when x equals 6, the y equals 9 and 10. That isnt possible because we know the answer is 10, not 9, it cant be both.

Another way you could prove this is by graphing. If you try to take the slope in that interval where 6 coorelates to two y values. The change in y is 1, but the change in x is 0. When you divide 1/0, your calculator blows up. Try it

6 0
3 years ago
Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f
nikdorinn [45]

Answer:

0.2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.

So 13*1/64 will be the area of figure B.

13* 1/64 = 13/64 = 0.2

6 0
3 years ago
One pound of red grapes cost $2.42 Ella buys worth 0.5 pound how much does she spend on red grapes
Bess [88]

Answer:

1.21

Step-by-step explanation:

The cost of the grapes is the price per pound times the number of pounds

cost = 2.42 * .5

cost = 1.21

7 0
3 years ago
What is the base of the expression 6^-4?
Fofino [41]

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

4 0
2 years ago
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
ludmilkaskok [199]

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

6 0
3 years ago
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