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PIT_PIT [208]
3 years ago
9

The prism below is made of cubes which measure of a centimeter on one side. What is the volume?

Mathematics
1 answer:
Vlada [557]3 years ago
7 0

Answer:

45/8 cubic cm

Step-by-step explanation:

The volume of a prism can be determined using the formula below.

Volume = length × width × height

Since each cube measures  of a centimeter on one side, then the dimensions of the prism are shown below.

Length = 5 x 1/2 cm

Width = 3 x 1/2 cm

Height = 3 x 1/2 cm

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alina1380 [7]

The range is from 4 to -2 is 6

7 0
3 years ago
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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
Please help i have an assignment due TODAY i need to get this done
wel

Answer:

r = 50 degrees.

Step-by-step explanation:

r = 50 degrees ( vertical angles are congruent).

3 0
1 year ago
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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = Two divided by x squared. + 3
kodGreya [7K]
Hello,

g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)

Explainations:

f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)

4 0
3 years ago
Fraction : 3/11+7/15= <br> Please show me how you got the answer
avanturin [10]
So the first thing you would have to is to find a common denominator so a common denominator between 11 and 15 is 165. 3/11 * 15 =45/165  next you would do 7/15 * 11=77/165 no that both denominators are the same we add the numerator but the denominator stays the same so 45/165 + 77/165 = 122/165
and since it can't be reduced any more 122/165 is your answer. 

hope this helps :)

5 0
2 years ago
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