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Verizon [17]
3 years ago
14

Find volume with full working out ty

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

3000 cm³

Step-by-step explanation:

Volume = Difference of Volumes of the two pyramids

Volume, V1, of the larger pyramid with tip at L:

Base area = area of EFGH = 10²

Height = ML = 15

V2 = ⅓×(10²)×15 = 4000

Volume, V2, of the smaller pyramid with tip at L:

Base area = area of = 10²

Height = OL = OM+ML = 15+15 = 30

V1 = ⅓×(10²)×30 = 1000

Volume = V1 - V2

= 4000-1000 = 3000 cm³

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Given a triangle with a = 12, A = 13°, and B = 12°, what is the length of c? Round to the nearest tenth.
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Answer:

=5.1 units

Step-by-step explanation:

To use the sine rule to find the length of c we first need to find the angle at C.

C=180-(13+12)

C=180-25

C=155°

a/Sin A=c/Sin C

Calculating for the value of c using the sine rule:

12/Sin 13=c/Sin 155

c=12 sin 155

=5.07 units

Thus to 1 decimal places, the value of c is 5.1 units.

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kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

\dfrac 5 y - \dfrac 2 x = \dfrac{13}6

Multiply by 6xy to clear the fractions.

30x - 12y = 13 xy

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30x = y(13 x +12)

y = \dfrac{30x}{13 x + 12}

Let's clear the fractions from the second equation, multiplying out common denominator xy:

\dfrac {36} x - \dfrac {24} y = 1

36y - 24 x = xy

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)

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We have to rule out x=0 because it's in the denominator.

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