There are 2pi radians in a circle
so the fraciton is Θ/(2pi)
so
pir^2 times Θ/(2pi)=pir^2Θ/2pi=Θr^2/2
multiply it by Θ/(2pi)
Answer:
9 x 9 =81
Step-by-step explanation:
Answer:
Seven
Step-by-step explanation:
Let G7, G8, and G9 be the numbers of students in the respective grades.
Then, G7 + G8 + G9 = LCM of G8 and G9
<em>Data:
</em>
G8 = 5
G9 = 3
<em>Calculations:
</em>
<em>Multiples of 5</em>: 1 2 10 15
<em>Multiples of 3</em>: 1 3 6 9 15
The <em>LCM</em> of 5 and 3 is 15.
G7 + 5 + 3 = 15 Combine like terms
G7 + 8 = 15 Subtract 8 from each side
G7 = 7
There are seven students in Grade 7.
Answer:
<h2>
The Slope Is <u>
12</u></h2>
Step-by-step explanation:
Below are the steps to follow to find the slope of any line.
First you need to pick two points. I chose (2,24) and (4,48). (It does not mater what points you chose.)
Now follow the equation
Slope (m) = ΔY/ΔX
ΔY = 48 – 24 = 24
ΔX = 4 – 2 = 2
24/2 = 12
Then no mater what points you chose, 12 should be your final answer
1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)
2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.