Answer:
A: 48in2
Step-by-step explanation:
Area of a rectangle = Length x Width
The complete figure is rectangular in shape with:
Length = 11 in
Width = 5 in
Area = 11 x 5
Area = 55 in2
The pink part is triangular in shape with:
height = 4in
Base = 3.5 in
Area of a triangle = 0.5 x base x height
Area of the pink portion = 0.5 x 3.5 x 4
Area of the pink portion = 7 in2
Area of the blue portion = (total Area) - (Area of the pink portion)
Area of the blue portion = 55 in2 - 7 in2
Area of the blue portion = 48 in 2
Hope this help you!
For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].
If T is the sum of the first 10 terms in the sequence, then T is:
B.
A. Greater than 2
B. Between 1 and 2
C. Between 1/2 and 1
D. Between 1/4 and 1/2
E. Less than 1/4
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
3 is 15% of what number...
3 = 0.15x
3/0.15 = x
20 = x
Answer:
$184
Step-by-step explanation:
I looked at an APR calculator
