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
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked?
fredd [130]
So, 9 out of 10 students prefer class, so, obviously, it would not be 100. It would be 150. So in conclusion, 50 students prefer lunch over math class, whilst 150 other students prefer math class over lunch.
3 0
3 years ago
Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that c
miskamm [114]

Answer:

These quotients are different because of what division means.

Step-by-step explanation:

When you divide you start with a total and break it into equal groups. If you started with three and broke them into groups of 1/5, that is different then starting with 1/5 and breaking into three groups.

If you had 3 cups of Chex mix and made servings of 1/5 of a cup. How many servings could you get? This is 3 divided by 1/5.

If you want to put tomatoes in 1/5 of your garden and you have 3 different tomatoes you want to plant. What fraction of the original garden will each type of tomato be in if they are evenly distributed.

7 0
3 years ago
How would you write the equation with a slope of 2/3 and a y-intercept if -3
worty [1.4K]
Y=2/3x-3. Follow the formula y=Mx+b. M is the slope, and b is the y intercept.
5 0
3 years ago
An apartment has
DedPeter [7]
When you divide 972 by 10.8 you get the answer of 90. Hope this helps :)


8 0
4 years ago
A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home
Lelu [443]

Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

4 0
3 years ago
Read 2 more answers
Other questions:
  • Anyone know? Help is much appreciated
    7·1 answer
  • Ben is repackaging a 45 pound bag of Rice into 8 smaller Bags so much rice is going to be in each smaller bag
    5·1 answer
  • I have tried this like 10 diffrent ways<br> -3(r+9)=-32
    7·2 answers
  • The square root of what equals 12
    5·2 answers
  • Please help! Question is attached to the image :)
    12·1 answer
  • Estimate 2,525 ÷ 64<br> nononononononnow
    13·2 answers
  • A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provide
    15·1 answer
  • A Plumber fixed a leaky sink and charge $60 for parts and $50 per hour for labor. The total bill was $285. Write down an equatio
    8·1 answer
  • PLEASE HELP ME!
    11·2 answers
  • If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!