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2 years ago

Which equation can be used to find the surface area of the cylinder?

Mathematics

2 answers:

vodka [1.7K]2 years ago

6 0

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

A = 2π(3²) . . . . . . matches a term in the last choice

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

A = 2π(3)(14) . . . . . . matches a term in the last choice

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

<em>Comment on answer choices</em>

We could choose the correct answer based solely on the area of the bases of the cylinder.

ira [324]2 years ago

6 0

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

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What is the unit rate for 180 miles in 3 hours

Ugo [173]

Hello

Answer:

60 miles per hour

I have given a detailed explanation of the logic behind this.

Explanation:

Consider the structure of the wording: "miles per hour"

The word "per" means for each. There is you clue.

Each is, one of and one of is unit measurement

So the controlling element in this question is that you need to convert the 3 hours into 1 hour.

Using ratio properties

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hour

We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.

⇒

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So the unit rate of speed is

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3 years ago

24. What are the x and y intercepts of the following

Mila [183]

Answer:

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong

3 0

2 years ago

Can someone please help me factor and write the equations for these two problems ?

prisoha [69]

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = $\frac{3x}{x^2-3x-10}$

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

= x(x - 5) + 2(x - 5)

= (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = $\frac{3x}{(x + 2)(x - 5)}$

Asymptotes 4

h(x) = $\frac{(x-5)}{x^{2} + 14x + 40}$

= $\frac{x-5}{x^{2}+10x+4x+40}$

= $\frac{x-5}{x(x+10)+4(x+10)}$

= $\frac{x-5}{(x+10)(x+4)}$

5 0

2 years ago

Given the graph of a line y=−x. Write an equation of a line (there are many) which intersects the line, but is not perpendicular

BaLLatris [955]

This would be any equation whose slope isn’t -1 or 1.

If the slope was -1, the lines would be parallel because the have the same slope.

If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.

Any line with any other slope will intersect with y=-x.

Hope this helps!

5 0

2 years ago

The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)

Paul [167]

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

6 0

1 year ago

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