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3 years ago

The radius of the large sphere is double the radius of the

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

just do the comparation

Vb : Vs

b for big and s for small

4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)

Vb : Vs = rb³ : rs³

Vb : Vs = (2rs)³ : rs³

Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)

Vb : Vs = 8 : 1

so Vb is 8 times larger in volume than the small one

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Write an expression for the quotient of twelve divided by the sum of two times g and one.

seraphim [82]

Answer:

12/2g + 1.

Step-by-step explanation:

I think this will help you

8 0

3 years ago

24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .

kykrilka [37]

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this question, we have that:

$(x + 15)^2 + (y - 9)^2 = 25$

Comparing both equations:

$x - x_0 = x + 15$

$x_0 = -15$

And

$y - y_0 = y - 9$

$y_0 = 9$

The center is $(-15,9)$ .

For the radius:

$r^2 = 25$

$r = \sqrt{25} = 5$

The correct answer is given by option a.

8 0

3 years ago

37% of what number is 72?

tatiyna

The answer is 194.59

(72 x 100) / 37 = 194.59

4 0

3 years ago

Read 2 more answers

$x$ $4$ $1$ <br> $10$<br> $y$ $10$

ivanzaharov [21]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The ratios in the table must be equivalent if it is to be filled in with something other than random numbers.

The second row is 10/4 = 2.5 times the first.

The first row is 4/10 = 0.4 times the second.

4 0

3 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago