Answer:
Step-by-step explanation:
Find the rate of those two statements:
28 ÷ 16 = 1.75
1.75 ft per seconds
7 ÷ 4 = 1.75
1.75 ft per seconds
Two statements have the same rate, therefore 28 feet every 16 seconds and 7 feet every 4 seconds are equivalent
The angle = 67<span>° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:
cos 67 = 137 / x
Solving for x;
x = 350.62 ft</span>
Answer:
8t(t - 5)^2
Step-by-step explanation:
I would immediately rearrange these terms in descending order by powers of t:
8t^3 - 80t^2 + 200t
Then I'd factor out 8t:
8t(t^2 - 10 t + 25).
Finally, I'd factor the quadratic t^2 - 10 t + 25:
(t - 5)^2
and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.
Answer:
The measure of the sum of interior angles of a 11-gon is
.
Each interior angle is approximately
.
Step-by-step explanation:
A convex polygon has the measure of each interior angles to be less than
.
But,
sum of interior angles of polygon = (n - 2) x 
where n is the number of sides of the polygon.
For a convex 11-gon, we have;
sum of angles of a 11-gon = (11 - 2) x 
= 9 x 
= 
Sum of angles of a 11-gon = 
To check: convex polygons' interior angles are less than
.
so that,
each interior angle of 11-gon = 
= 