Answer:
x = 14.48
Step-by-step explanation:
first we have to see that we have the measurements from all sides
and we know that the angle between side 21 and 20 is 90 degrees
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
let's take the left angle as α
sin α = 21/29
α = sin^-1 (21/29)
α = sin^-1 (0.7241)
α = 46.397
Now we do the same with the smaller triangle
tan α = o/a
sin 46.397 = x/20
0.724 = x/20
0.724 * 20 = x
14.48 = x
x = 14.48
if we want to check it we can do the same procedure with the other angle
We know that the diameter of the inner circle (d) and the side of a regular octagon (s) are tied by the formula:
d = (1 +√2) × s
The inverse formula is:
s = d / <span>(1 +√2)
Plugging in numbers:
s = 7 (1 + </span>√2)
= 2.9 ft
Therefore the correct answer is A) <span>2.9 feet</span>
Answer:
6.5 Hours
Step-by-step explanation:
Divide 338 by 52 to get the answer
Answer:
The volume of cylinder is:
49806.06 ft^3
Step-by-step explanation:
We are given a right circular cylinder with:
Height(h)=
and a diameter is
times it's height.
i.e.
times it height.
i.e. the diameter is given as:

We know that the radius of cylinder is half the diameter.
Hence, radius(r) of cylinder is:

The volume(V) of cylinder is given by:


Hence, the volume of cylinder is:
49806.06 ft^3
Answer:
the sum of p and q is pXq =pq