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
KATRIN_1 [288]
2 years ago
6

Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 ft long and the hypotenuse is

10ft long.
A. 36 ft

B. 6FT

C. √41 ft

D.12.81 ft
Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0
A^2+8^2=10^2
a^2+64=100
a^2=36
a=6

B.6FT
You might be interested in
When calculating the successive discounts of 15% and 10% on a $100 item, _____. a. take 10% of $85 b. take 10% of $90 c. take 15
tiny-mole [99]
It would be a, take 10% of $85 as the $15 is taken off first then the next discount is attached to the new price
4 0
3 years ago
Read 2 more answers
the lee family eats at a restaurant for a total bill of 45$ they decided to give a tip of 18% how much tip will they give
Virty [35]
They will tip $8.10.


How to Do it/ Work:

18 * 0.45 = 8.1
4 0
2 years ago
How do you find the volume of the solid generated by revolving the region bounded by the graphs
d1i1m1o1n [39]

Answer:

About the x axis

V = 4\pi[ \frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}

About the y axis

V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}

About the line y=8

V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}

About the line x=2

V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi

Step-by-step explanation:

For this case we have the following functions:

y = 2x^2 , y=0, X=2

About the x axis

Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on  y from 0 to 8.

We can find the area like this:

A = \pi r^2 = \pi (2x^2)^2 = 4 \pi x^4

And we can find the volume with this formula:

V = \int_{a}^b A(x) dx

V= 4\pi \int_{0}^2 x^4 dx

V = 4\pi [\frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}

About the y axis

For this case we need to find the function in terms of x like this:

x^2 = \frac{y}{2}

x = \pm \sqrt{\frac{y}{2}} but on this case we are just interested on the + part x=\sqrt{\frac{y}{2}} as we can see on the second figure attached.

We can find the area like this:

A = \pi r^2 = \pi (2-\sqrt{\frac{y}{2}})^2 = \pi (4 -2y +\frac{y^2}{4})

And we can find the volume with this formula:

V = \int_{a}^b A(y) dy

V= \pi \int_{0}^8 2-2y +\frac{y^2}{4} dy

V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}

About the line y=8

The figure 3 attached show the radius. We can find the area like this:

A = \pi r^2 = \pi (8-2x^2)^2 = \pi (64 -32x^2 +4x^4)

And we can find the volume with this formula:

V = \int_{a}^b A(x) dx

V= \pi \int_{0}^2 64-32x^2 +4x^4 dx

V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}

About the line x=2

The figure 4 attached show the radius. We can find the area like this:

A = \pi r^2 = \pi (\sqrt{\frac{y}{2}})^2 = \pi\frac{y}{2}

And we can find the volume with this formula:

V = \int_{a}^b A(y) dy

V= \frac{\pi}{2} \int_{0}^8 y dy

V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi

6 0
3 years ago
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700
Serjik [45]

Answer:

A. 770,000,000

Step-by-step explanation:

7.7x10^8 First step is to simplify

7.7x100,000,000 Then, multiply

770,000,000

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.

Have a good day! :)

7 0
3 years ago
Find the value of x, please help!!!!
Fudgin [204]
Value of x is 77 degrees
4 0
3 years ago
Read 2 more answers
Other questions:
  • A square painting has a length of 62 cm. What is the area of the painting?
    14·2 answers
  • Slope between (0,0) and (1,1)
    14·1 answer
  • I really, really need help with this! I'm so stuck!!
    10·2 answers
  • 3 A man left IR D 5,700 to be shared among
    8·1 answer
  • A certain sum quadruples in 3 years at compound interest, interest being compounded annually. In how many years will it become 6
    6·1 answer
  • Pls help taking im taking
    8·1 answer
  • A potential difference of 35v is applied across the ends of a resistance of 3 ohms. How much current will flow in the resistance
    5·1 answer
  • Which expression is equivalent to<br> 5-1/5-2
    11·2 answers
  • 3x-4=4 What is the value of X ​
    8·2 answers
  • 8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!