Answer:
Write an equation that will model the proportional relationship given in each real world situation.
1. There are 3 cans that store 9 tennis balls. Consider the number of balls per can.
a. Find the constant of proportionality for this situation.
9 balls (B)
_________ = 3
3 cans (C)
b. Write an equation to represent the relationship.
b = 3c
Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
Uche's pumping rate is <u>300 mL/s</u>.
Step-by-step explanation:
Given:
Uche pumps gasoline at a rate of 18 L/min.
Now, to find Uche's pumping rate in mL/s.
The rate at which Uche pumps gasoline = 18 L/min.
So, to get the pumping rate in mL/s we use convert L/min to mL/s by using conversion factor:
<u>1 L/min = 16.6667 mL/s.</u>
18 L/min = 16.6667 × 18 mL/s.
18L/min = 300 mL/s.
Therefore, Uche's pumping rate is 300 mL/s.
Anwser:
22.5 or 5/22 or 30
Step-by-step Explanation:
-2 and -2
SSS
-2+-2= -4
-4 x 30= -120
-120 divided by 4 is 30
but that’s not a fraction so you do
22.5 or 5/22
-2 x -2 x 30=
Rewind the "mind movie" of what happened. She added $74 to her account and then had $192. Back it up by subtracting the $74 from $192.
192 - 74 = 118
