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vekshin1
3 years ago
10

What is the surface area of the prism?

Mathematics
1 answer:
aliina [53]3 years ago
8 0
SA= ( BH + 2LS +LB)

B= 16
H=6
L=8
S=10

SA= ( 16*6 +2(8*10) +8*16)=
SA= (96+2(80)+128)=
SA= (96+160+128)=
SA= 384
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Solve the inequality for z-9< 15. Simplify your answer as much as possible.
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Answer:

z < 24

Step-by-step explanation:

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2 years ago
Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).
aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

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6 0
3 years ago
The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee
adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

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2x = 36

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2 years ago
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3 years ago
The base area of a cylinder is 200.96m2
Vitek1552 [10]

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

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                                   = 6 in

7 0
2 years ago
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