Answer:
Step-by-step explanation:
You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.
Length of sector DC = 2r
270 = 2(8+OA) *(8+OA is the raidus of the bigger circle/sector)*
270/2 = 8 + OA (division)
135/ -8 = OA
135/ -8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)
I hope this helps you! Please correct me if you see a miscalculation <3<3
Grouping 1 10 as 10 1's is the same because you have just rearranged the numbers but they equal the same
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer:
Step-by-step explanation:
You would do 21,000×0.20, which equals 4,200. Since 4,200 equals 20% of 21,000, then you would do 21,000-4,200, which equals 16,800. So the car is worth $16,800 dollars this year.
Answer:
98 degrees
Step-by-step explanation:
m<H = 45, m<F = 53
180 = 45 + 53 + (180-x)
82 = 180-x
x+82 = 180
x = 98