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Scorpion4ik [409]
3 years ago
13

The volume of two spheres is shown:

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

≈ 1.3 inches

Step-by-step explanation:

Given that:

  • Sphere A = 30 cubic inches
  • Sphere B = 10 cubic inches

As we know, the formula to find the volume of a sphere is;

V = π\frac{4}{3} r^{3}

So we have:

  • Sphere A = 30 cubic inches

<=> π\frac{4}{3} r^{3}  = 30

<=>r^{3}  = 90/4π

<=> r ≈ 4.13

  • Sphere B = 10 cubic inches

<=> π\frac{4}{3} r^{3}  = 10

<=> r^{3} = 30/4π  

<=>  r ≈ 2.86

So the  different between the radius of sphere A and B is:

= 4.13 - 2.86

= 1.27

≈ 1.3 inches

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Factor by grouping x^3-4x^2+7x-28
Komok [63]

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms:  x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms:  7(x - 4).  

Note how (x - 4) is a factor of the entire four-term expression given above.

Then:   x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

5 0
3 years ago
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
lesya692 [45]

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:

\displaystyle 5 k = 4

Solve for the scale factor <em>k: </em>

<em />\displaystyle k = \frac{4}{5}<em />

<em />

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2

In conclusion, the area of ΔEDF is 9.6 square inches.

5 0
2 years ago
What is the area of this figure? <br>​
polet [3.4K]
First, calculate the area of the square, which is 25

next, find the area of one half of the triangle by multiplying 2.5 and 4 (10), then dividing that by 2 (5).

since the two half’s of the triangle are symmetrical, just add 5 and 5 to get 10.

add the area of the triangle (10) and the square (25) to get the total area.

the answer should be 35

hope this helps!
4 0
1 year ago
Work out the mean for the data set below: 5, 3, 3, 6, 2, 5, 2, 4, 7 Give your answer as a fraction in its simplest form.
olga nikolaevna [1]

Answer:

4 1/9

Step-by-step explanation:

Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9

3 0
3 years ago
Robert is purchasing some packs of chicken from the supermarket. The first pack weighs 45 ounces. The second pack weighs 3 pound
Dmitry [639]

Answer: 3 pounds

Step-by-step explanation:

6 0
3 years ago
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