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3 years ago

What is the lateral surface area of this cylinder?

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

Answer:

A. 452.16 yd²

Step-by-step explanation:

Lateral surface of the cylinder = 2πrh

Where,

r = 6 yd

h = 12 yd

π = 3.14

Plug in the values

Lateral Surface Area of the cylinder = 2*3.14*6*12

Area = 452.16 yd²

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At maximum speed, an airplane travels 2460 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sam

nikdorinn [45]

Let x the maximum speed of the plane and y be the speed of the wind.

We know that:
1)Distance = speed x time
2) if the head wind is y, then the resulting speed is x-y (against the wind)
3) if the tail wind is y, then the resulting speed is x+y (with the wind)

1) and 2): 2400 = (x-y).(6) or 6x-6y = 2400

1) and 3): 2400 = (x+y).(5) or 5x+5y = 2400

Hence the system of 2 equation:

6x - 6y = 2400
5x + 5y = 2400.
Solving it gives x = 440 mi/h and y = 40 mil/h
Then the speed of the plane with no wind is 440 km/h

7 0

4 years ago

What is the description of the translation represented by the translation rule (x,y)-(x-2,y-2)

WINSTONCH [101]

Answer:

B. 2 units to the right and 2 units up

Step-by-step explanation:

7 0

3 years ago

Need help with b, picture attached.

Vikki [24]

$7500/75=100$
This means that a field of those dimensions would not be the required length of a minimum of 110 feet.

7 0

3 years ago

Which of these functions has a domain of all real numbers except x=4.1?

nika2105 [10]

Answer:

$(A)y=\frac{2.5}{x-4.1} + 2.8$

Step-by-step explanation:

In the expressions, the value at which the domain of the function will be the set of all real numbers except x=4.1 is the value at which 4.1 makes the denominator equal to zero, i.e makes the fraction undefined.

Given the options

$(A)y=\frac{2.5}{x-4.1} + 2.8$

Setting the denominator to zero, x-4.1=0, x=4.1. The fraction is undefined at x=4.1

$(B)y=\frac{2.8}{x+4.1} -2.5$

Setting the denominator to zero, x+4.1=0, x=-4.1. The fraction is undefined at x=-4.1

$(C)y=\frac{4.1}{x-2.8} +2.5$

Setting the denominator to zero, x-2.8=0, x=2.8. The fraction is undefined at x=2.8

$(D)y=\frac{4.1}{x-2.5} +2.8$

Setting the denominator to zero, x-2.5=0, x=2.5. The fraction is undefined at x=2.5

Therefore, function that has a domain of all real numbers except x=4.1 is:

$(A)y=\frac{2.5}{x-4.1} + 2.8$

4 0

3 years ago

Write a decimal as a fraction simplest form for 7.75

Sonja [21]

Answer:

31/4

Step-by-step explanation:

Leave the 7 alone for now.

0.75 is equal to 75/100

so now simplfy 75/100=3/4

now add the 7 back in

its

7 and 3/4

That can be your final answer or you can make it improper by multiplying 4 * 7 + 3

that gives you 31 and add the 4 back which is 31/4

6 0

3 years ago