You are gonna do rise/run.
So you have 1/4 for the first two points.
Then you have 2/8 which can be simplified down to 1/4.
So the slope of the line is 1/4.
Hope this Helps!!
This is a typical radioactive decay problem which uses the general form:
A = A0e^(-kt)
So, in the given equation, A0 = 192 and k = 0.015. We are to find the amount of substance left after t = 55 years. That would be represented by A. The solution is as follows:
A = 192e^(-0.015*55)
<em>A = 84 mg</em>
- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2
- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2
Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2.
Your answer should be no solution.
Answer:
"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."
Step-by-step explanation:
Coterminal angle:
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
Finding if 3pi/4 is coterminal with 19pi/4:
19pi/4
= 16pi/4 + 3pi/4
= 4pi + 3pi/4
= 2(2pi) + 3pi/4
= 2(360°) + 3pi/4
= 3pi/4
Hence they are coterminal.
Reference angle:
The smallest angle that the terminal side makes with x-axis.
3pi/4 falls in second quadrant.
In 2nd quadrant, reference angle is given as = pi - 3pi/4
reference angle = pi/4.
Answer:
The arc length is inches or 6.28 inches
Step-by-step explanation:
To solve this we are using the arc length formula:
where
is the arc length
is the radius of the circle
is the central angle in radians
We know from our problem that the central angle is and the radius of the circle is 8 inches, so and . Let's replace the values to find :