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Scrat [10]
3 years ago
9

The base of The prism is a right Triangle what is The volume of The prism

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

74.4 m³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of triangular base × length

area of triangle = 0.5 × 5 × 4.8 = 12 m², thus

V = 12 × 6.2 = 74.4 m³

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Step-by-step explanation:

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2 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

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c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
#1). Yasmine plans to attend a four-year public university. She expects she will need to contribute $9,000 annually to her educa
Nina [5.8K]
The answer to #1 is D.

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3 0
3 years ago
Read 2 more answers
Help please I’m not sure if this is right
Schach [20]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Solve y^2+7y+12=0 by completing the square.​
kkurt [141]

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

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Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

8 0
3 years ago
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