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yKpoI14uk [10]
2 years ago
9

The question is in the picture.

Mathematics
1 answer:
____ [38]2 years ago
5 0

B. \:\frac{2}{ {a}^{7} } ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{8}{2 \:  {a}^{5} }  \times  \frac{6}{12 \:  {a}^{2} }  \\  =  \frac{48}{24  \:(  {a})^{5 + 2}  }  \\  =  \frac{2}{ {a}^{7} }

<u>Note</u>:-

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

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a 20 cm nail just fits inside a cylindrical can. three identical spherical balls need to fit entirely within the can. what is th
DIA [1.3K]

The maximum radius of each ball is 3.33 cm.

<h3>What is a Cylinder?</h3>

A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.

A 20 cm nail perfectly fits the cylinder.

So the height of the cylinder = 20cm.

A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.

If 3 spheres have to be fitted inside the cylinder,

The sum of the diameter of the spheres will be equal to the height of the cylinder.

The spherical balls are identical and so will have the same diameter

Let the maximum diameter of the sphere that can fit in the cylinder is d cm

Then,

d + d + d = 20

3d = 20

d = 20/3 = 6.67 cm

r = 3.33 cm

The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.

To know more about Cylinder

brainly.com/question/16134180

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5 0
1 year ago
Somebody help with both questions
Minchanka [31]
1. X=5
2. I think I’m not sure is - 5.04
8 0
2 years ago
Given the diagram below find x, and the measure of
Sophie [7]

Answer:

8, 40 , 50

Step-by-step explanation:

the measure of A is 90°

so 5x + 7x - 6 = 90

now.. to find the x

5x + 7x - 6 = 90

5x + 7x = 90 + 6

12x = 96

x = 96/12

x = 8

so the measure of angle A1 is (5*8) = 40

the measure of angle A2 is (7*8-6) = 50

finaly the angle A is (50+40) = 90

8 0
3 years ago
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length. How long is each piece?
Vera_Pavlovna [14]

Answer:

48 Yards long

Step-by-step explanation: You multiply 24x 2

3 0
2 years ago
Read 2 more answers
On a 15 hour trip, Rob drove 35% of the time and Mark drove the remainder of the time. How many hours did Mark drive? Explain 9.
Zigmanuir [339]

Answer:

9.75 hours

Step-by-step explanation:

If Rob drove 35% of the time and Mark drove the remainder of the time, the total is 100 %

100-35 = 65

so Mark drove 65% of the time

The total time driven was 15 hours, so we multiply the total time driven by the percentage of time that Mark drove to find the number of hours that Mark drove.

15 * 65%

15*.65

9.75 hours

7 0
3 years ago
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