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melomori [17]
2 years ago
5

If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skills to develop a formula for

the volume of the reduced sphere, V', in terms of V.
Mathematics
2 answers:
valkas [14]2 years ago
4 0
Since V = (4/3) * pi * R^3

If R is halved, V' will reduce by a ratio of (1/2)^3 = 1/8

So V' = (1/8)V
vlada-n [284]2 years ago
3 0

Answer:

Step-by-step explanation:

Given that the radius of a sphere originally r is halved.  We have to find the new volume of the sphere.

Volume of the sphere = \frac{4}{3} \pi r^3

When radius is halved new radius = r/2

Hence volume of the reduced sphere

=\frac{4}{3}\pi (\frac{r}{2} )^3=\frac{1}{8} \frac{4}{3}\pi r}^3\\=\frac{1}{8} V

Volume becomes 1/8 times of the original volume.

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The fourth coordinate of rectangular piece of material is (2.8 , -2.7)

According to the question,

Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (-1.4, -2.7), (-1.4,3.7), and (2.8,3.7).

As we know , the opposite sides of rectangle are equal

If we locate these coordinates in our graph and join them

Length of rectangle will be = 2.8+1.4 = 4.2cm

Breadth of rectangle will be = 3.7 + 2.7 = 6.4cm

So, the fourth coordinate should lie 6.4cm far from  (2.8,3.7)

Subtracting 6.4 from y-axis,

Fourth coordinate = 3.7 - 6.4

= -2.7

Therefore , The fourth side of rectangle = (2.8 , -2.7)

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4 0
1 year ago
Helping little sis with homework! =) A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and fi
Amiraneli [1.4K]
The student subtracted each side by 28, which is wrong because if u want to cancel -28, you need to add 28 to both sides. The correct answer is 403. I need brainliest answer pls
4 0
3 years ago
Graph the following equation: y - 3 = (x - 2)
Alexus [3.1K]

Answer:

Step-by-step explanation:

6 0
3 years ago
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HELP 100 POINTS .........SHOW YOUR WORK
Makovka662 [10]
Look at the picture.

the length of horizontal segment:  |10 - 4| = |6| = 6

the length of vertical segment: |8 - 3| = |5| = 5

Use the Pythagorean thorem:

x^2=6^2+5^2\\\\x^2=36+25\\\\x^2=61\to x=\sqrt{61}\ mi.\\\\\sqrt{61}\approx7.81\ mi.

5 0
2 years ago
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Write the expression (4x-2)×6(2x+7) in the standard form of a quadratic expression ax^{2}+bx+c. What are the values of the coeff
lesya [120]
<span>(4x-2)×6(2x+7) =
</span>
(4x-2) <span>× 12x + 42 =

48x^2 -24x + 168x -84 = 0
</span>
<span>48x^2 +144x -84 = 0

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