Answer:
A) 60
B) 0
C) 150
Step-by-step explanation:
A) P(green) = ⅕
⅕ × 300 = 60
B) since the purple never occured
P(purple) = 0
C) 1000 × (45/300)
150
Answers:
Choice C) 1.5 + AB = 3.7
AB = 2.2 cm
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Explanation:
Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.
The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.
Therefore, 1.5 + AB = 3.7 is one valid equation to set up.
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To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.
1.5 + AB = 3.7
AB = 3.7 - 1.5
AB = 2.2
Notice how,
1.5 + AB = 1.5 + 2.2 = 3.7
to help confirm our answer.
Answer:
c= 0.10m+ 25
Step-by-step explanation:
using the format y=mx+b
25 is your flat cost that they charge every month, and 0.10 is what they charge per minute.
m is the number of minutes so that is the unknown variable.
c is your total cost.
you take the flat cost per month (25 dollars) and add it to however many minutes multiplied by 0.10 (.10m)
Answer:
The slope is -10, and the y-intercept is 1.
Step-by-step explanation:
Assuming that the equation is y = -10x+1, the easiest way to identify slope and the y-intercept is by knowing the equation for slope-intercept (y = mx+b)
Equation for slope-intercept (y = mx+b) explained:
The equation is y = mx+b, let's break it down.
y = The line
m = The slope
b = The y-intercept
Now that we know the equation and broke it down you can identify them in your equation
Slope (m)= -10
y-intercept = 1
Conclusion: The slope is -10, and the y-intercept is 1.
Answer:

Step-by-step explanation:
Given,
Angle of sector = 30°
Radius of circle, r = 8 cm
Area of the shaded region, A =?
The diagram is attached below.
Now,
Area of shaded region = Area of sector - Area of triangle
Area of triangle = 
We know that,




And




Area of sector = 
Area of sector = 
= 16.75 cm^2
Area of triangle = 
= 13.85 cm^2
Area of shaded region = 16.75 - 13.85
= 