1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FromTheMoon [43]
3 years ago
11

A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

Surface Area of right cone  

               =\pi r(r+\sqrt{h^2 + r^2}

440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\

\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227}  = 10.96in

You might be interested in
Canceling units is also called: a. changing the value c. multiplication b. unit analysis d. making connections
SOVA2 [1]

Canceling units is also called unit analysis.

This is also called dimensional analysis.

What is a unit of analysis in statistics?

  • The unit of analysis is the entity that you're analyzing. It's called this because it's your analysis (what you want to examine) that determines what this unit is, rather than the data itself.
  • Because it is the analysis you do in your study that determines what the unit is.
  • For instance, if you are comparing the children in two classrooms on achievement test scores, the unit is the individual child because you have a score for each child.

For example -

1 ft = 12 in

3 ft =  3 ft * \frac{12 in }{1 ft}

3 ft = ( 3 * 12 )  in ⇒ 36 in

Learn more about  unit analysis

brainly.com/question/15579410

#SPJ4

3 0
2 years ago
I don’t know what it is :(
WARRIOR [948]
I think it’s 3 for sure
3 0
4 years ago
Read 2 more answers
Owen bought a pair of shoes and the shirt shown. The cost of the shirt was $42 less than the price of the shoes. How much did Ow
Verdich [7]

Answer:

The cost of the pair of shoes will be = $(x + 42)

Step-by-step explanation:

Please kindly check the attached file for explanation.

5 0
4 years ago
Charlie reads quickly. He reads 1\dfrac371 7 3 ​ 1, start fraction, 3, divided by, 7, end fraction pages every \dfrac23 3 2 ​ st
OLEGan [10]
<h2>Answer:</h2>

The number of pages he will read in one minute is:

        2\dfrac{1}{7}\ \text{pages}

<h2>Step-by-step explanation:</h2>

It is given that:

Charlie reads 1\dfrac{3}{7}\ \text{pages} in every \dfrac{2}{3}\ \text{minutes}.

We know that:

1\dfrac{3}{7}=\dfrac{10}{7}

This means that:

Charlie reads \dfrac{10}{7}\ \text{pages} in every \dfrac{2}{3}\ \text{minutes}.

This means that:

\text{In}\ \dfrac{2}{3}\ \text{minutes he reads}\ \dfrac{10}{7}\ \text{pages}\\\\\text{Hence}

\text{In}\ 1\ \text{minute he will read}\ \dfrac{\dfrac{10}{7}}{\dfrac{2}{3}}\ \text{pages}

\text{In}\ 1\ \text{minute he will read}\ \dfrac{10\times 3}{7\times 2}\ \text{pages}

Hence,

\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}

Hence,

\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}

\text{In}\ 1\ \text{minute he will read}\ 2\dfrac{1}{7}\ \text{pages}

4 0
3 years ago
Read 2 more answers
How does the area of triangle RST compare to the area of triangle LMN?
RUDIKE [14]

Answer:

The answer is the letter B or The area of △RST is equal to the area of △LMN.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Other questions:
  • Choose the correct conic section to fit the equationy=1/8x^2 a. Circle b. Ellipse c. Parabola d. Hyperbola
    11·1 answer
  • Using the indirect method for cash flows, depreciation expense is added to net income to determine the A. cash flow from investi
    10·2 answers
  • The length of a rectangle is 9 centimeters less than four times its width. Its area is 28 square centimeters. What is the dimens
    10·1 answer
  • You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number
    6·2 answers
  • Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same a
    9·1 answer
  • annie needs a piece of cardboard with an area of 180 square centimeters. the length of the cardboard should be 7 centimeters les
    9·1 answer
  • The backers at Healthy Bakery can make 320 bagels in 10 hours. How many bagels can they make in 18 hours? What was the rate per
    12·1 answer
  • What is the measure of n?
    15·1 answer
  • 5. Earth Science Your weight on the Moon is about of your weight on Earth. Write
    10·1 answer
  • Write 350 as a product of primes. Use index notation when giving your answer
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!