Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.
Answer:
The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.
Step-by-step explanation:
7+8=15
15+8=23
23+8=31
31+8=39
39+8=47
47+8=55
Answer: answer is 0
Step-by-step explanation:
F(0)=2(0)+5
F(0)=0+5
F(0)=5
Answer:
2/3
Step-by-step explanation:
If we have 'x' students who like math and 'y' students that like science, we can formulate that:
Half of x likes math and science, and also one third of y likes math and science, so:
(1/2) * x = (1/3) * y
x / y = (1/3) / (1/2)
x / y = (1/3) * 2 = 2/3
So the ratio of the number of students who like math to the number of students who like science is 2/3
Answer:
FIRST EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
SECOND EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression
, you get:
If
→ 
If
→ 
If
→ 
- For the second expression
, you get:
If
→ 
If
→ 
If
→ 
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.