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Harlamova29_29 [7]
3 years ago
13

What is the surface area of the sphere

Mathematics
1 answer:
belka [17]3 years ago
5 0
To solve for surface area of a sphere, the formula is 4*pi*r^2 where "r" is the radius. Since we know the diameter and that it is the length across the sphere, and that the radius is the distance from the center to the edge, we can divide the diameter by 2 to get the radius. This shows the radius is 5. Now all we have to do is substitute in the 5 for the "r" and solve.

SA=4*pi*r^2
SA=4*pi*5^2
SA=314.159 

We are rounding to the hundredth here, so we can say the surface area of the sphere is (A) approximately 314.16 square miles.
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Larissa practices for a swimming tournament
scoundrel [369]

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) <em>She completes her first lap in 31.135 seconds</em>:

x_{1} = 31.135\,s

(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:

x_{2} = x_{1}-3.129\,s

x_{2} = 31.135\,s - 3.129\,s

x_{2} = 28.006\,s

Then, the time taken by Larissa to complete both laps is:

\Delta x = x_{1} + x_{2}

\Delta x = 31.135\,s+28.006\,s

\Delta x = 59.141\,s

Larissa takes 59.141 seconds to complete both laps.

4 0
3 years ago
A solid cuboid is made from centimeter cubes how many centimeter cubes were used to make the cuboid
prisoha [69]

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.

5 0
3 years ago
28 degree + x-4 degree+2x=180 degree
FromTheMoon [43]

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

3 0
2 years ago
the distance from the park to the grocery store is 0.9 mile. Ezra runs 8 tenths of that distance and walks the rest of the way.
Sholpan [36]

The distance from the park to the grocery store is 0.9 mile. Ezra runs 8 tenths of that distance and walks the rest of the way. The distance ezra runs can be solve by multiplying 8/10 to the total distance.

X = 0.9(8/10)=0.72 mile

6 0
3 years ago
Can someone please check this for me? distance formula
seropon [69]
-4,6) (8,-12)
square root of 12^2+-18^2
<span>square root of 144+324
</span><span>square root of 468
21.63
</span>
5 0
3 years ago
Read 2 more answers
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