Answer:
C) 15 cm is the best estimate.
Step-by-step explanation:
The exact answer is not there, so 15 is the best estimate.
You can use this equation to help you:
d=C/π
Where d is the diameter.
C is the circumference.
And the last one is Pi.
You know that C = 45, so divide that by Pi (3.14).
45/3.14159 = 14.32
The closest answer is 15.
Hope this helps! Have a great day!
In the unit circle the hypotenuse of the triangle formed is equal to radius of circle , which = 1. The point on the circle formed by the intersection of the hypotenuse is (cos q , sin q) where q is the angle between the x axis and the hypotenuse. As the hypotenuse = 1 the opposite and adjacent sides of the triangle < 1 so sin and cos of q must both be <= 1.
Lets take any two points on the line . I took (-2,-2) and (0,-3)
slope is rise/run = -3-(-2)/ 0-(-2) = -3+2/2= -1/2
answer is -1/2
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
Answer:
x+y=29
70x+80y=2130
x=19 and y=10
Step-by-step explanation:
the amount of tickets he sold is 29 which includes VIP and general admission tickets so the number of tickets sold for each would be x+y=29.
the price for general admission is 70$ and VIP is 80$. the profit from the tickets is 2130$ so that would be the number of general tickets (x) times the price (70) and the number of VIP tickets (y) times the price (80) so that would be 80y. therefore you're equation would be 70x+80y=2130. that is your system of equations.
To figure out the number of tickets for each: Solve x+y=29 for x:
x+y=29
x+y+−y=29+−y(Add -y to both sides)
x=−y+29
Substitute−y+29 for xi n70x+80y=2130:
70x+80y=2130
70(−y+29)+80y=2130
10y+2030=2130 (Simplify both sides of the equation)
10y+2030+−2030=2130+−2030 (Add -2030 to both sides)
10y=100
10y/10=100/10 (Divide both sides by 10)
y=10
Substitute 10 for y in x=−y+29:
x=−y+29
x=−10+29
x=19 (Simplify both sides of the equation)
Answer: x=19 and y=10
