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TEA [102]
1 year ago
13

7. What is the volume of the prism? 8 cm 5.8 cm A. 29 cm B. 87 cm3 15.2 cm C. 512.3 cm3 D. 705.3 cm

Mathematics
1 answer:
bija089 [108]1 year ago
5 0

The volume of the rectangular prism is

V=L\times W\times H

Where:

L is its length

W is its width

H is its height

From the given figure

L = 15.2 cm

W = 8 cm

H = 5.8 cm

Substitute them in the rule above

\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}

Round it to the nearest tenth

V=705.3\operatorname{cm}^3

Answer D

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Solve for x, y, and z
zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

3 0
3 years ago
HELP PLEASE!!! I don’t understand these math questions at all and it’s due in 2 hours, I’m freaking out
nataly862011 [7]

Answer:

1. The top and bottom lines (-5,3) (8,3) is parallel to line (-2,-2) (11,-2). The sides Lines (-5,3) (-2,-2) is parallel to line (8,3) (11,-2).

2. None of the line create a right angle. None are able to create a box at the angle

4 0
3 years ago
Solve for n -8 = 6+n
bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

-8 = 6

This is never true so there is no solution

8 0
3 years ago
Read 2 more answers
15 + brainliest help me please
Fiesta28 [93]
2f +4f +2 -3
 combine the like terms to get 6f-1

 so yes they are equivalent

2f+4f+2-3 at f=3 would also be 17


8 0
3 years ago
Read 2 more answers
1 − 3 10 . Write the answer as a fraction
Brilliant_brown [7]

Answer:

7/10

Step-by-step explanation:

7 at the top, 10 at the bottom

8 0
3 years ago
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