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3 years ago

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

Mathematics

2 answers:

Katen [24]3 years ago

4 0

Answer:

14 Units

Step-by-step explanation:

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

7 units

14 units

49 units

Odyssey

Vikki [24]3 years ago

3 0

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get:

r² = -----------

πh

Substituting the given values, we obtain for r² the following:

145 units³

r² = ------------------------ = 15.6 units²

3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

3 years ago

Which expression is equivalent to b + b - 0.56b?

Alexxx [7]

Hey there!

“Which expression is equivalent to b + b – 0.56b?”

• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1

• COMBINE the LIKE TERMS

(b + b – 0.56b)

(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b

• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b

Possible answer that you could be looking for: 2b + 0.56b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

4 0

3 years ago

The student council sells cookies every 9 days and ice cream every 12 days. If both are being sold today, how many days will it

blondinia [14]

Cookies : 9, 18, 27, 36,
Ice cream: 12, 24, 36

So in 36 days.

6 0

3 years ago

Read 2 more answers

A cheetah travels 20 km west in an hour. The cheetah stops for another hour. Then, the cheetah travels another 40 km west in two

tigry1 [53]

20 divided by 40=2
20x40=800
800 divided by 40= 20

7 0