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Brilliant_brown [7]
3 years ago
11

Find the volume of the cylinder in terms of π.

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Hello There!

The volume for a cylinder is Pi*r^2*h

We are going to leave our Answer in terms of pi so first we need to square our radius which we know is 5

Our radius is 25 because we squared 5. Next, we need to multiply 25 by our height which is 11.

25 multiplied by 11 is 275 so our Answer would be 275\pi

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Margarita [4]
You would now have to pay her $9.85
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3 years ago
Simplify: 3^2 · 3^4 <br> A) 3^6 <br> B) 3^8 <br> C) 3^2 <br> D) 9^6
Greeley [361]

Answer:

3^6

Step-by-step explanation:

3^2 * 3^4

You add the exponents together.

3 0
3 years ago
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Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
horsena [70]

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

4 0
3 years ago
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Evaluate (f + g)(x) if f(x) = 2x and g(x) = 3X - 2<br> when x = 3
77julia77 [94]

Answer:

13

Step-by-step explanation:

→ Substitute 3 into 2x

2 × 3

→ Evaluate

f ( x ) = 6

→ Substitute x = 3 into 3x - 2

3 × 3 - 2

→ Evaluate

7

→ Find the sum of the 2 results

13

7 0
2 years ago
A student drives 4.8-km trip to school and averages a speed of 22.6 m/s. on the return trip home, the student travels with an av
ArbitrLikvidat [17]

In this case, we cannot simply take the average speed by adding the two speeds and divide by two.

What we have to do is to calculate the time required going to school and the return trip home.

We know that to calculate time, we use the formula:

t = d / v

where,

d = distance = 4.8 km = 4800 m

v = velocity

 

Let us say that the variables related to the trip going to school is associated with 1, and the return trip home is 2. So,

 

t1 = 4800 m / (22.6 m / s)

t1 = 212.39 s

 

t2 = 4800 / (16.8 m / s)

t2 = 285.71 s

 

total time, t = t1 + t2

t = 498.1 s

 

Therefore the total average velocity is:

= (4800 m + 4800 m) / 498.1 s

= 19.27 m / s = 19.3 m / s

 

Answer:

19.3 m/s

4 0
3 years ago
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