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2 years ago

write a real-word problem that can be represented by the equation 224=3.5r. Then solve the problem and explain the solution.

Mathematics

1 answer:

andrew-mc [135]2 years ago

8 0

This is your answer One pound of meat costs 3.50$. If the total is 244$, how many pounds of meat have you bought?

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the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

Which of the following reasons could be used to conclude that the lines are parallel based on the given information?

rewona [7]

We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.

Statement 1:

If right angles are formed, then lines are parallel.

This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.

Statement 2:

If two lines are perpendicular to another line, then they are parallel.

This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.

Statement 3:

If alternate interior angles are equal, then lines are parallel.

This is valid as explained above.

Hence final answer are statement 2 and statement 3 both.

7 0

3 years ago

Read 2 more answers

To make a sports drink for the football team, Jaylen filled \dfrac9{10}

Scilla [17]

The total gallons of sports drink Jaylen made using 9/10 of a large cooler with water and 6 cups of sports drink concentrate is 3.75 gallons

<h3>Total gallons</h3>

Water in the large cooler = 9/10

Space remaining = 1 - 9/10

= 10-9 / 10

= 1/10

1/10 = 6 cups

Total gallons of sport drink = x

6 cups / total = 1/10

6 × 10 = total × 1

60 cups = total

Cups to gallons:

16 cups = 1 gallon

Total gallons of sport drink, x = 60 cups / 16

= 3.75 gallons

Complete question:

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining space with 6 cups of sports drink concentrate. How many gallons of sports drink did Jaylen make?

Learn more about total gallons:

brainly.com/question/26007201

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3 0

1 year ago

What the answer I don’t know it

meriva

The answer is B since a negative number being subtracted cancels out and becomes a number, for example: since its -(-3) it becomes positive.

5 0

2 years ago

Read 2 more answers

Solve this problem, and identify the percent, amount, and base.<br> What percent of 60 is 15?

ValentinkaMS [17]

First, you must understand the question. what % of 60 is 15, so I would write an equation to express this.

15 = 60x

From there, solve for x, so Divide by 60 on each side. The answer is 1/4, or 25%

7 0

3 years ago