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BaLLatris [955]
3 years ago
8

Use the net to find the lateral area of the cylinder. Give your answer in terms of pi.

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

<u>Answer:</u>

The correct answer option is 90\pi inches^2.

<u>Step-by-step explanation:</u>

We are given a cylinder with a radius of 5 inches and a height of 9 inches and we are to find the lateral area of this cylinder.

We know that the formula of the lateral area of a cylinder is given by:

Lateral area of cylinder = 2 \pi r h

Substituting the given values in the formula to get:

Lateral Area = 2\pi *5*9 = 90\pi inches^2

MatroZZZ [7]3 years ago
5 0

Answer:

90\pi in^2

Step-by-step explanation:

The lateral  area of the cylinder is given by;

A_L=2\pi rh

The radius of the cylinder is r=5in. and the height is r=9in.

Substitute the values to get;

A_L=2\pi \times 5\times 9

A_L=90\pi in^2

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What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?
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y = -5x Y8  

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 9 − 5x = -5x+ 9

slope = -5

The parallel line

The line must have slope = -5 and include (0, 8), so

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In the diagram below, the red line is the graph of y = 9 -5x.

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8 0
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7 0
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Read 2 more answers
Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).​
vladimir2022 [97]

Answer:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

4 0
3 years ago
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