Answer:
The value of m is 6.
Step-by-step explanation:
Here, the given equation,


Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )
Thus, we can write,



















But m > 0,
Hence, the value of m is 6.
Answer:
You cannot simply 64x^2-112x+ 49 further than it is already simplified.
Step-by-step explanation:
Area of semicircle = 1/2 the area of a circle:

radius is half the diameter of 6ft.

Area of the rectangle:

Add the two together:
90 + 14.13 = 104.13
Round to the nearest tenth (one decimal place)
Area = 104.1 square feet.
Karmin will make $18.4 for working an hour after the increase.
Step-by-step explanation:
Step 1:
First, we need to determine how much Karmin made an hour.
Karmin's hourly rate 
So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.
She will get a 15% increase in her hourly rate this month.
Step 2:
We need to determine how much 15% of $16 is.
15% of $16 
So her 15% increase amounts to $2.4.
So the hourly rate for this month 
So Karmin will make $18.4 for working 1 hour.
Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:

Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that
is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find
:

This is given in radians, so
is 4 radians
D is the correct answer choice.