3 years ago

Find the volume of the triangular prism below 5mm 12mm 3mm

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

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When 7 is subtracted from two third of the square of a number it becomes 17 find the number

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Answer: 6 or -6

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Step-by-step explanation:

Let say n the number

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During a dry year, the reservoir level dropped 512 feet. The next year the level rose 314 feet. Which expression shows the total

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The inverse for f(x)=-.75x

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3 years ago

Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11)

Katen [24]

Answer:

$\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1$ is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).

Step-by-step explanation:

We have given the vertices at (0, ±9) and foci at (0, ±11).

Let (0,±a) = (0,±9) and (0,±c) = (0,±11)

The standard equation of parabola is:

$\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1$

From statement, a = 9

c² = a²+b²

(11)² = (9)²+b²

121-81 = b²

40 = b²

Putting the value of a² and b² in standard equation of parabola, we have

$\frac{y^{2} }{81} -\frac{x^{2} }{40} }=1$ which is the answer.

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3 years ago