She needs to earn at least 84 to buy the mp3 player
earnings=earningsperhour times numberofhoursworked
earnings per hour=12 dollars
number of hoursworked=h
therefor
earnings=12 ties h or12h
earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84
solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours
to graph, draw a line at x=0 and shade to the right, make the line solid
Answer:
60
Step-by-step explanation:
What we know:
- ABD is a straight angle, it measures 180 degrees
- Angle CBA + CBD = 180 degrees
- Angle GFH = CBA (they are alternate exterior angles)
Equation:
GFH + CBD = 180
Substitute:
3x + 6x = 180
Add:
3x + 6x = 180
9x = 180
Divide:
9x = 180
/9 /9
x = 20
Substitute:
GFH = 3x
GFH = 3(20)
GFH = 60
m<GFH is 60°
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So
.
We have the equation:

Make the above replacement:

Since cotangent has period 180 degrees, we can also write this as:

So solving the following will give us a set of solutions for
:

Add
on both sides:

Subtract 10 on both sides:

Divide both sides by 2:

Symmetric property:
