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3 years ago

What’s the volume of prism? ( multiple choice ) Links=report

Mathematics

1 answer:

Tems11 [23]3 years ago

4 0

Answer:

The answer should be B. 600m³

Step-by-step explanation:

Because the height needs to be perpendicular, so the 5m measurement should be the height, 13m doesn't matter. Now we just multiply every things, 12 x 5 x 20 is 1,200, and I divide it by 2, making it 600.

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How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

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Find the composite function (please help)

anastassius [24]

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Composite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
Evaluate: (f o h)(x) = 2(12 - 5x) + 8
Distribute 2: (f o h)(x) = 24 - 10x + 8
Combine like terms: (f o h)(x) = -10x + 32

And we have our final answer!

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