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Fed [463]
2 years ago
11

Find the volume of a sphere having a radius of 9/8mi

Mathematics
1 answer:
Tamiku [17]2 years ago
3 0

\piAnswer:

the volume is 5.96

Step-by-step explanation:

v =\frac{4}{3} \pi r^3\\\\

9/8 as a decimal is 1.13

\frac{4}{3}×\pi×1.13³≈5.96412

Hope this helps:).......if not then sorry for wasting your time and may God bless you:)

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4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?
Dimas [21]

Answer:

4) The linear equation which could represent its image is y = \frac{3}{4} x + 8 ⇒ (2)

5) The equation of the image of the line is y = \frac{3}{2} x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

4)

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

   the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = \frac{3}{4} x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m =  \frac{3}{4} , so the

   equation after dilation has the same slope

∵ The slope of the line before dilation is  \frac{3}{4}

∴ The slope of the line after dilation is  \frac{3}{4}

∵ The equation that has the slope  \frac{3}{4}  is y =

∴ The equation of the image of the line is y = \frac{3}{4} x + 8

The linear equation which could represent its image is y = \frac{3}{4} x + 8

5)

∵ The equation of the line is y = \frac{3}{2} x - 4

∵ The scale factor of dilation is \frac{3}{4}

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is \frac{3}{2}

- Dilation changes the y-intercept, to find it multiply the scale

  factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by \frac{3}{4}

∵  \frac{3}{4} × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = \frac{3}{2} x - 3

3 0
3 years ago
Will give brainliest to first correct answer. find missing length indicated
fiasKO [112]
the answer is 9 because it’s proportiona
8 0
3 years ago
There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to ren
Delicious77 [7]
Let x be the daily fee
0.5(48) +x = 64  is the equation, 
Multiply:
24 + x = 64
Subtract:
 x=40
The daily fee is $40
Hope this helps

Credit to Bob3141 (My first answer was wrong)
3 0
3 years ago
Read 2 more answers
If AB = 15, BC = 12, and CA = 8, list the angles of abc in order from smallest to largest.
SIZIF [17.4K]
<span>angles of abc in order from smallest to largest.
<ABC, <CAB, <ACB

Hope it helps

p.s. 
smallest angle opposites shortest side
largest angle opposites longest side</span>
6 0
3 years ago
Read 2 more answers
PLEASE RIGHT ANSWERS ONLY!!
Temka [501]

Answer

8

Step-by-step explanation:

algebra ll

4 0
2 years ago
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