Answer: 129
Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)
Area=3.14(5)²
=3.14(25)
=78.5
But since this is just a half circle, divide this by 2
That will get 39.25
Then add this to the area of the rectangle (L*W) which is 90
That will get about 129
Answer:
25.24 was the mark down
16.374%
Step-by-step explanation:
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given

We know the rational zeros theorem such as:
if
is a zero of the function
,
then
.
As the
is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
, 
From the above calculation results, we determined that
zeros as
and
.
Hence, we can check that

Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
or 
divide both sides by 2
sinΘ = - 
Since the sin ratio is negative then Θ is in third / fourth quadrants
Θ =
(
) =
related acute angle
Θ = ( π +
) = 
or Θ = ( 2π -
) = 