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maxonik [38]
3 years ago
5

HOW TO DO THIS QUESTION ​

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

9514 1404 393

Answer:

  583.4 cm³

Step-by-step explanation:

We have the base dimensions, so enough information to find its area:

  A = s²

  A = (10 cm)² = 100 cm²

__

The height of the triangle is found by solving triangle AMV for the distance MV. That is found from the trig relation ...

  Tan = Opposite/Adjacent

  tan(68°) = MV/AM

The length of AM is half the diagonal of the square base, so is (10√2)/2 = 5√2. The length of MV is ...

  MV = AM·tan(68°) = 5√2·tan(68°) ≈ 17.50

So, the volume of the pyramid is ...

  V = (1/3)Bh

  V = (1/3)(100 cm²)(17.50 cm) ≈ 583.4 cm³ . . . . volume of the pyramid

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Natasha_Volkova [10]
I’m not sure what you’re options are but an equation in Y=mx+b form for this would be y= -3/2x + 5

M is always the slope
B is always the y intercept
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Answer:

C.

Step-by-step explanation:

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What is the inverse of the function f(x) = 2x + 1?
Alexandra [31]

Answer:

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Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x and let x = f^{-1} (x), thus

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6 0
3 years ago
If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

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=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
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adell [148]

Answer:

x = 5

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Isolate then solve for x

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