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Anna71 [15]
3 years ago
9

Use the following scenario to answer the question:

Mathematics
1 answer:
Ber [7]3 years ago
4 0
My guess would be blue:
7/22
Yellow: 4/22
And red to be: 4/22
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The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne
Aloiza [94]

Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0
3 years ago
6r-2(r+8)=11<br> Solve equation
pav-90 [236]

6r-2(r+8)=11\ \ \ \ |\text{use distributive property}\\\\6r-2(r)-2(8)=11\\\\6r-2r-16=11\ \ \ \ \ |+16\\\\4r=27\ \ \ \ \ |:4\\\\r=6.75

4 0
3 years ago
Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti
Usimov [2.4K]

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

Number of tests n = 5

Average A = 90

Substituting into equation 1

90 = T/5

T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

88+84+88+91 = 351

Let x represent the first score,

351 + x = 450

x = 450 - 351

x = 99 points

The minimum score she can get in the fifth test is 99 points

5 0
3 years ago
Once again co sines . Please help me and include explanation with a clear answer
vladimir1956 [14]

Using the law os cosines formula b^2 = a^2 + c^2 - 2*a*c*cos(B)

a = 17, b = 8, c = 16

8^2 = 17^2 + 16^2 - 2*17*16* cos(B)

64 = 289 + 256 - 544 * cos(B)

544*cos(B) = 289 + 256 - 64

544 * cos(B) = 481

cos (B) = 481/544

B = arccos(481/544)

B = 27.8 degrees

8 0
3 years ago
I’ll mark bralyist to the first correct answer <br><br> If f(x) = 1/4 x + 14, then<br> F^-1 (x) =
bagirrra123 [75]

Answer:

1/4

Step-by-step explanation:

dy/dx(1/4x + 14)=1/4

7 0
3 years ago
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