Answer:
see below
Step-by-step explanation:
x - 2/5= 7
Add 2/5 to each side
x - 2/5 + 2/5 = 7+2/5
x = 7 2/5
or if
( x-2) /5 = 7
Multiply each side by 5
(x-2) /5 *5 = 7*5
x-2 = 35
Add 2 to each side
x-2+2 = 35+2
x = 37
It should be
3cm
1.3cm
7in
the pythagorean theorem is that the two smaller sides is equivalent to the biggest side. (A+B = C)
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,


So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:

Where, B is the base area and r is the radius.


So, the base area is
square inches.
The volume of the cylinder is:


Where, r is radius, h is height, B is base area.
Putting
and
, we get


So, the volume is
cubic inches.
Therefore,
.
This is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)