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Talja [164]
2 years ago
6

Is Noah's work correct? Explain. Yes, Noah's calculations are correct. No, Noah did not simplify correctly. No, Noah used the di

ameter instead of the radius in the calculations. No, Noah did not use the correct formula for volume of a sphere.
Mathematics
2 answers:
ivolga24 [154]2 years ago
7 0

Answer:

No, Noah used the diameter instead of the radius in the calculations.

V = 91.13π

Step-by-step explanation:

Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.

V = πr3

V = π(9)3

V = π(729)

V = 972π cubic units

Is Noah’s work correct

Volume of a sphere, V = πr³

radius, r = diameter / 2

Diameter = 9 units

r = 9 / 2

= 4.5 units

Volume of a sphere, V = πr³

= π × 4.5³

= π × 91.125

= 91.125π

Approximately 91.13π

V = 91.13π

No, Noah used the diameter instead of the radius in the calculations.

WINSTONCH [101]2 years ago
3 0

Answer:

no, he used radius instead of diameter

Step-by-step explanation:

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C

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Step-by-step explanation:

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Write the slope-intercept form of the equation of each line 13x-2y=14
HACTEHA [7]

Answer:

Step-by-step explanation:

First, lets put this into y=mx+b form.

You can bring the 13x over to the 14, by subtracting and you get -2y=14-13x, or also -2y = -13x + 14

Then you can divide both sides by -2 to get y, and you get

-2y/-2 = -13x/-2 + 14/-2 which is simplified to y=13/2x + (-7) which is

y=13/2x-7

                                {[( IMPORTANT )]}

 THIS HAS THE SLOPE IN A IMPROPER FRACTION... CHECK IF YOU USE MIXED NUMBERS OR IMPROPER FRACTIONS

the mixed number form is y = 7     1/2 x -7

Hope this helps!

       

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3 years ago
Kobe wants to organize his toys. His box has a width 2 2/3 feet, length 3 1/3 feet, and height 2 1/3 feet?
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Answer:

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2 years ago
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3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

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When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

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The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

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On comparison,

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Now, plot the equation with vertex (4,8) [refer attached figure].

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