Answer:
AB = 8.857 cm
Step-by-step explanation:
Here, we are given a <em>right angle</em> 
in which we have the following things:
Side <em>BC </em>is the hypotenuse here.
We have to find the side <em>AB</em>.
Trigonometric functions can be helpful to find the value of Side AB here.
Calculating 
:
Sum of all the angles in is 
.
We know that <em>cosine </em>of an angle is:
So, side AB = 8.857 cm
.
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
5/2 is the answer.
Have a nive day!
Edit: 33% is not
, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =
. Multiply the bonus of $496 by
to get the solution of
, or 165 and
Therefore the solution is $165.33
Answer:
8/15
Step-by-step explanation:
you first want to change your whole number, 4, into a fraction so all you have to do is add a 1 in the denominator so it will be 4/1
then you multiply across
2/15 * 4/1
you first multiply 2 and 4 and your answer will be 8 which is the numerator
then multiply 15 and 1 which is 15, the denominator
then you get
8/15
