Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone =
πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
Answer:
Pythagorean theorem: a^2 + b^2 = c^2
1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81 --> sqaure root to find the answer basically.
a = 9
- we put AD as a so AD = 9
final answer : 9
2. to find AC, simply add AD and DC.
9 + 16 = 25
final answer: AC = 25
3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.
-- let me know if you need any further explanations.
Answer:
<h2><u><em>
x = 18 °</em></u></h2>
Step-by-step explanation:
you have a rotation angle of 360 °, take out the known values (360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 - 144 - 90 - 36 - 36 = 54.
54 is 3x, so x = 18 ° (54 : 3 = 18)
The statement is expressed algebraically as
(x/43) - 87 = -75
Answer:
16
Step-by-step explanation:
Since 2+2 is in parenthesis you do that first. So now you have 8/2(4). 8/2= 4. 4*4 = 16