R=1.5m
area of a semicircle=(

)/2
therefore the area = 3.535
Answer:
D. $46,800
Step-by-step explanation:
%18 of $260,000 is $46,800
The given series is geometric with common ratio
, which converges if
(i.e. the interval of convergence). We have the well-known result

If you're not familiar with that result, it's easy to reproduce.
Let
be the
-th partial sum of the infinite series,

Multiply both sides by the ratio.

Subtract this from
to eliminate all the powers of the ratio between 0 and
.

Solve for
.

Now as
, the exponential term converges to 0 and we're left with

Answer:
-1960
Step-by-step explanation:
The expression on the left expands to ...
(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49
Matching coefficients, you have ...
Then the expression c(b+a) evaluates to ...
49(-56+16) = 49(-40) = -1960
Answer:
x = 10
Step-by-step explanation:
Since the triangle is right use the sine ratio to find x
sin30° =
=
cross- multiply
x × sin30° = 5 ( sin30° = 0.5 )
0.5x = 5 ( divide both sides by 0.5 )
x = 10