Step-by-step explanation:
A circle has 360 degrees so 360/18= 20
For the 2nd question: 360/5=72
Answer:
59˚
Step-by-step explanation:
The sum of all the angles in a triangle is always 180 so:
38 + 83 + x = 180
121 + x = 180
x = 59
Answer:
-25
Step-by-step explanation:
You must first pick two points. I picked the points of (4, 400) and (8, 300). You can pick different points and still get the right answer.
Subtract the y's and the x's. Divide the difference of y by the difference of x.
400 - 300 = 100
4 - 8 = -4
100/-4 = -25
The slope, or rate of change, is -25.
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer:
y = 27.1
Step-by-step explanation:
We have the value of x:
x = 12
and we need to find the value of y in the expression:
y = x + 15.1
as we can see by the equation, the value of y depends on the value of x.
thus, we substitute x = 12 on the previous equation:
y = 12 + 15.1
y = 27.1
the value of y is 27.1
