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yulyashka [42]
3 years ago
13

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? Explain.

A)Yes, Noah’s calculations are correct.
B)No, Noah did not simplify correctly.
C)No, Noah used the diameter instead of the radius in the calculations.
D)No, Noah did not use the correct formula for volume of a sphere.
Mathematics
2 answers:
lesya692 [45]3 years ago
8 0
No, Noah used the diameter instead of the radius in the calculations is the answer. 
Masteriza [31]3 years ago
7 0
C is the answer, no noah used the diameter instaed of the radius in the calculations 
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A construction job for gallery 10 painters were tasked with painting the interior these painters made up 40% of the painting cre
Harrizon [31]

Answer:

Total number of painters = 25 painters

Step-by-step explanation:

Interior painting = 10 painters

These painters made up 40% of the painting crew

how many painters in all worked on this job?

Let

Total number of painters = x

Interior painters = 40% of x

10 = 40% * x

10 = 0.4 * x

10 = 0.4x

x = 10/0.4

x = 25 painters

Total number of painters = x = 25 painters

3 0
3 years ago
Write the slope intercept form of the line parallel to 7x+y=5 that passes through the point (3,-2)
maria [59]

Answer:

y = -7x + 19

Step-by-step explanation:

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4 years ago
Solve the following pairs of simultaneous equations
babunello [35]

a)

x + 3y = 14|\cdot(-3)\\3x + y = 10\\\\-3x - 9y = -42\\3x + y = 10\\\\-8y = -32 => y = 4, x = 14 - 12 = 2\\(2, 4)

b)

5x + y = 27|\cdot(-3)\\4x + 3y = 26\\\\-15x - 3y = -81\\4x + 3y = 26\\\\-11x = - 55 => x=5, y = 27-25 = 2\\(5, 2)

c)

-6x + 5y = -14\\-2x + y = -6| \cdot(-3)\\\\-6x + 5y = -14\\6x - 3y = 18\\\\2y = 4 => y = 2, x = -1/2\cdot(-6 -2) = 4\\(4, 2)

d)

2x + 5y = 14\\3x + y = -5|\cdot(-5)\\\\2x + 5y = 14\\-15x - 5y = 25\\\\-13x = 39 => x = -3, y = 1/5\cdot(14 - 2(-3)) = 4\\(-3, 4)

e)

-3x + 2y = 6\\x + 4y = -9|\cdot3\\\\-3x + 2y = 6\\3x + 12y = -27\\\\14y = -21 => y = -\frac{3}{2}, x = -3\\(-3, -1.5)

f)

3x - 5y = 7\\x + y = -11|\cdot(5)\\\\3x - 5y = 7\\5x + 5y = -55\\\\8x = -48=> x= -6, y = -11 + 6 = -5\\(-6, -5)

g)

2x + 3y = 9|\cdot(-2)\\4x + y = -7\\\\-4x - 6y = -18\\4x + y = -7\\\\-5y = -25 => y = 5, x = 1/4(-7-5) = -3\\(-3, 5)

h)

-x + 5y = 7|\cdot(-1)\\5x + 5y = 19\\\\x-5y = -7\\5x + 5y = 19\\\\6x = 12 => x = 2, y = (7 + 2)/5 = \frac{9}{5}\\(2, 1.8)

6 0
3 years ago
Sin A=0.7245<br> A=<br><br> sin D=0.4567<br> D=
Rashid [163]
The simplest way would be to use a calculator to evaluate B = arcsin(0.7245) 

<span>If you don't have a calculator, the next, more complex way would be to interpolate a table of sines and find the value of the angle whose sine is 0.7245. That is the method that was most widely used before the invention of hand held calculators and after sine tables had been published. </span>

<span>The next, most complex way would be to evaluate terms in the infinite series representation of the arcsine function which is the way the sine tables were developed for publication. That series is </span>
<span>arcsin(x) = x + x³/6 + (3/40)x^5 + (15/336)x^7 + ... </span>

<span>The result for any of those methods would be B = 46.4° </span>

<span>Geometrically, you could: </span>
<span>1) Draw a circle of known radius, R. centered at the origin of a rectangular coordinate system </span>
<span>2) Draw a line parallel to the x axis a distance 0.7245R above the x-axis </span>
<span>3) Draw a line connecting the origin to the rightmost point of intersection between the circle 1) and the line 2). </span>
<span>4) Measure the angle between the line 3) and the +x axis. </span>

<span>The Angle 4) will be the measure of the angle whose sine is 0.7245. </span>

<span>That explains four ways you can find the measure of the angle whose sine is 0.7245.</span>
4 0
3 years ago
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