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3 years ago

5

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

base radius? Round your answer to the nearest whole number.

1 answer:

schepotkina [342]3 years ago

5 0

Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm

Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²

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3 years ago

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What is the answer to this?

myrzilka [38]

Answer:r=3cm,diameter =6cm and C=18.84cm

Step-by-step explanation:

To find the radius,diameter and circumference according to the diagram drawn above

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3 years ago

1x -8 < 2x + 1<br> What is the largest integer value that makes this inequality true

professor190 [17]

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

1x - 8 < 2x + 1

<u>Step 2: Solve for </u><u><em>x</em></u>

Simplify: x - 8 < 2x + 1
[Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
[Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
Rewrite: x > -8

∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I

7 0

2 years ago

A line passes through the points ( − 16 , 14 ) and ( 8 , 35 ) . Calculate the slope of the line - simplify answer if possible. (

REY [17]

Given two points $(x_1,y_1),\ (x_2,y_2)$ , the slope of the line connecting them is defined as

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

In your case, the points are

$(x_1,y_1)=(-16,14),\ (x_2,y_2)=(8,35)$

Plugging these values in the slope formula gives

$m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{35-14}{8-(-16)}=\dfrac{21}{24}=\dfrac{7}{8}$

7 0

3 years ago