Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)? The angle is 21 degrees.
This is a perfect application of the tangent function:
tan 21 deg = opp / adj = opp / 22 = x / 22
tan 21 deg = 0.384 so x would be 22 tan 21 deg, or
x = 22*(0.384)
= 8.45 (answer)
Answer:
True
Step-by-step explanation:
We have that,
The cone A has the length of the lateral side = h and the height of the cylinder B = h.
Since, the lateral surface areas are given by,
Lateral surface area of cone = , where l is the length of the lateral side.
So, we get = .
Also, Lateral surface area of cylinder is , where h is the height of the cylinder.
So, we get =
Thus, we see that,
Hence, the given statement is correct.
Answer:
720 degrees.
Step-by-step explanation:
The sum of the interior angles of a convex polygon with n sides is
180(n - 2) degrees.
In this case, n = 6 sides, so the angle sum is
180(6 - 2) = 180(4) = 720 degrees.
The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).
Answer:
Option D is correct.
and
Step-by-step explanation:
Floor function states that the greatest integer that is less than or equal to x.
It is represented by:
Ceiling function states that the least integer that is greater than or equal to x.
It is represented by:
As per the statement:-
Kareem wrote the values show below:
, , and .
by definition:
= 4
= 2
=3
= 4
From the given options only pair which is equivalent is:
and