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3 years ago

Which of the following formulas would find the lateral area of a right cylinder

Mathematics

1 answer:

zmey [24]3 years ago

6 0

Answer:

2πrh unit^2.

Step-by-step explanation:

The lateral area is the circumference of the base * the height = 2πrh.

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Simplify <br>99=2(-7b-3)+7

Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0

3 years ago

Read 2 more answers

100 POINTSSS! ASAP ANSWEERR PLS

Margarita [4]

PART A

Given:

f(x) = 0.69(1.03)x

To find:

If the price of the product is increasing or decreasing and by what percentage

Steps:

we know the formula to find the price of Product A per year, so

f(1) = 0.69 * 1.03 * 1

Price = $0.7107

f(2) = 0.69 * 1.03 * 2

Price = $1.4214

Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.

Now to find percentage increase,

Percentage increase = $\frac{FV-SV}{SV}*100$ (FV = final value, SV = starting value)

Percentage increase = $\frac{1.4214 - 0.7107}{0.7107}*100$

Percentage increase = $\frac{0.7107}{0.7107}*100$

Percentage increase = 100 %

Therefore, the percentage increase of Product A is 100%

PART B

Given:

Price of product B in 1st year = $10,100

Price of product B in 2nd year = $10,201

Price of product B in 3rd year = $10,303.01

Price of product B in 4th year = $10,406.04

To find:

Which product recorded a greater percentage change over the previous year

Steps:

We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B

PC of product B from 1st to 2nd year = $\frac{10,201-10,100}{10,100}*100$

= $\frac{101}{10,100}*100$

= 0.01 * 100

= 1 %

PC of product B from 2nd to 3rd year = $\frac{10,303.01-10,201}{10,201} *100$

= 1%

PC of product B from 3rd to 4th year $=\frac{10,406.04-10,303.01}{10,303.01}*100$

≈ 1%

So, percentage change of product B is 1% per year

Therefore, Product A has greater percentage change

Happy to help :)

If u need more help, feel free to ask

6 0

3 years ago

Please help me with this question.

Brilliant_brown [7]

Answer:

V = 972m^3

Step-by-step explanation:

small = lwh = 9(2)(6)

large = lwh = 16(9)(6)

V = 9(2)(6) + 16(9)(6)

V = 108 + 864

V = 972m^3

6 0

2 years ago

Farmer Josh has some positive number of llamas. He gives exactly one-half of his llamas to his daughter, and then gives exactly

lilavasa [31]

Answer:

Step-by-step explanation:

3/5 = he has 5 at the end.

gave 2/3 to son which means 15 out of 10 to son.

gave half to daughter which is 15/30, so he ends up with 2 and the least amount he can start with is 30.

5 0

3 years ago

Find the area of the circle with the given radius or diameter. Use pi = 3.14. d = 13 A=?

GuDViN [60]

Hello!

The formula for finding area of a circle is: π · r²

Diameter is 2x the radius. To find the radius when the diameter is given, divide the diameter by 2.

The diameter is 13. 13 ÷ 2 = 6.5

r = 6.5
6.5² = 6.5 × 6.5 = 42.25

π = 3.14

Multiply 3.14 by 42.25 to get the area

3.14 × 42.25 = 132.665

<em>The area of the circle is 132.665 sq. units, which is the last option.</em>

5 0

3 years ago

Read 2 more answers