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marysya [2.9K]
3 years ago
11

Solve for a 3(2a+6)=4(a+10

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

a = 11

Step-by-step explanation:

distribute and combine like terms

6a + 18 = 4a + 40

2a = 22

a =11

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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3 years ago
Which of the following statements must be true about this diagram?<br> Check all that apply.
Alik [6]

Answer:

i would go for a and c

Step-by-step explanation:

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3 years ago
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VashaNatasha [74]

Answer:

36

Step-by-step explanation:

The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.

18 × 18 × 4 = 1296

Now, you are going to find the square root of 1296.

\sqrt{1296} = 36

You now have your final answer.

I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]

3 0
3 years ago
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5) Find the LCM of 12 and 32​
katrin [286]

Answer:

96

Step-by-step explanation:

Find the prime factorization of 12

12 = 2 × 2 × 3

Find the prime factorization of 32

32 = 2 × 2 × 2 × 2 × 2

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 2 × 2 × 3

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hope it helps ,pls mark me as brainliest

5 0
3 years ago
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Find the value of x inscribed angles
Rudik [331]

Answer:

x = 84°

y = 96°

Step-by-step explanation:

By tangent secant theorem:

x =  \frac{1}{2}  \times 168 \degree \\  \\ x =84 \degree \\  \\y =  \frac{1}{2}  \times (360 - 168) \degree \\  \\ y =  \frac{1}{2}  \times 192 \degree \\  \\ y =  96 \degree

5 0
2 years ago
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