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3 years ago

Volume of Composite Shapes, i need help again

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

V=πr²h
V=(3)(2²)(8)
V=96

V=(πr²h)/3
V=(3)(2²)(3)/3
V=12

V=96+12
V=108

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A triangle has side lengths of (q+r)(q+r) centimeters, (5q-10s)(5q−10s) centimeters, and (5s-7r)(5s−7r) centimeters. Which expre

Stolb23 [73]

The expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

<h3>What is the perimeter?</h3>

The formula for perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where a , b and c are the lengths of its side

(q+r)
(5q-10s)
(5s-7r)

Now, let's substitute the values

Perimeter = (q + r) + (5q - 10s) + (5s - 7r)

expand the bracket

Perimeter = q + r + 5q - 10s + 5s - 7r

collect like terms

Perimeter = q + 5q + r - 7r -10s + 5s

Add like terms

Perimeter = 6q - 6r - 5s

Thus, the expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

Learn more about perimeter here:

brainly.com/question/24571594

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8 0

1 year ago

You downloaded a video game to your computer.You have 60-minute free trail of the game.It takes 5 minutes to set up the game and

Lorico [155]

$6$
that is the answer to the equation of your question

6 0

3 years ago

Evaluate the expression for the given value of x.<br> 5x + 6 for x = 4

Brrunno [24]

If x=4, rewrite the equation which would be 5(4)+6

First you multiply 4 by 5 which would give you 20

Now put in the 6 in the equation

20+6

20+6=26

Therefore for the expression given the value of x would make your answer be 26

5 0

3 years ago

The ratio of money in Terry's bank account to Faye's bank account was 3:7.

igor_vitrenko [27]

Answer:

£390

Step-by-step explanation:

The ratio of money in bank:

Terry : Faye

3 : 7

Terry put £220 in his account

Faye withdrew £300 from her account

Unknown:

Initial amount Terry had = ?

Solution:

Let the real amount terry has = 3x

Faye will have = 7x

Now;

3x + 220 = 7x -300

Solving this equation:

3x + 220 = 7x -300

3x - 7x = -300 - 220

-4x = - 520

4x = 520

x = 130

Originally, Terry has 3x = 3 x 130 = £390

3 0

3 years ago

The cells of a bacteria doubles in every 15 minutes. A scientist begins with a single cell. How many cells will be there after (

Anastaziya [24]

Step-by-step explanation:

Given that:-

1 cell = 15 minutes

So, we can concert 15 minutes to hours.

So,

60 minutes = 1 hour

1 minute = 1/60

15 minutes =

$\frac{15}{60} = 0.25 \: hrs$

Okay, now we will apply first for 0.4 hours.

$0.25 \: hrs= 1 \: cell$

$1 \: hr = \frac{1}{0.25}$

$0.4 \: hrs = \frac{0.4}{0.25}$

$= 1.6 \: cells$

$= 16 \times {10}^{ - 1} \: cells$

Now, second one:-

$10 \: hrs = \frac{10}{0.25}$

$= 40 \: cells$

$= 0.4 \times {10}^{2} \: cells$

Hope it helps :D

6 0

3 years ago