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Rus_ich [418]
3 years ago
9

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

256π/3 cm³

Step-by-step explanation:

d = 2r => r = d/2 = 4cm/2 = 2 cm

V(sphere) = 4π·r³/3

= 4π·64/3 cm³

= 256π/3 cm³

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In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2
balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

\triangle CAE -- Bigger Triangle

\triangle CBD -- Smaller Triangle

k = \frac{4}{3} --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

A_1 = \frac{1}{2}bh

\frac{1}{2}bh = 9

The area of CAE is:

A_2 = \frac{1}{2}BH

Where:

B = \frac{4}{3}b and

H = \frac{4}{3}h

The above values is the dimension of the larger triangle (after dilation).

So, we have:

A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h

A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h

A_2 = \frac{1}{2}*\frac{16}{9}  *b* h

Re-order

A_2 = \frac{16}{9}*\frac{1}{2}* b* h

A_2 = \frac{16}{9}*\frac{1}{2}bh

Recall that:

\frac{1}{2}bh = 9

A_2 = \frac{16}{9}*9

A_2 = 16

Hence, the area is 16 cm^2

3 0
3 years ago
Find w(4) for the function w(x) = 3x + 7.
monitta
W(4) = 3(4) + 7
w(4) = 12 + 7
w(4) = 19
7 0
3 years ago
Read 2 more answers
Which value of x satisfies the equation |-2x|=10
uranmaximum [27]

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

5 0
3 years ago
Danny is measuring rainfalll.For a.Science project in september 7/8 inch of rain fell in october 2 1/4 invhes of rain fell how m
horsena [70]

Answer: 1\dfrac{3}{8}\ \text{inch}

Step-by-step explanation:

Given

Rainfall in September is \frac{7}{8} inch

Rainfall in October is 2\frac{1}{4} inch

Convert mixed fraction into fraction

\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}

Difference between the two gives that how much more rain fall in October compared to September

\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}

3 0
3 years ago
This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?
belka [17]

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

4 0
2 years ago
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