The correct answer is
C.
Explanation:
4 - 2(-4) =12, 4 - 2(0) =4, 4 - 2(5) =-6
First off we need to use the formula S = rΘ
S - is the arc length
Θ - is theta which is the radian measure
r - is the radius
In this problem we need to find r
So, our equation would look like:
S ÷ Θ = r
Before we solve though, we need to convert the degrees to radians:
To convert from degrees to radians, multiply the degrees by π/180° radians:
60 x π/180 = 1.0472
If you input the numbers you get:
10.2 / 1.0472 = 9.740
The radius is 9.7 yards.
Well brake 7 into 5 and 2 and then just multiply it by 3 so it would be 5 x3=15 and 2x3=6 then u add 15+6 it would be the sum, of 21 so 3x7=21
Answer:
k = 4
Step-by-step explanation:
First, find the equations of each function.
f(x) = x/3 - 3
g(x) = x/3 + 1
Then plug these values for g(x) = f(x) + k.
x/3 + 1 = x/3 - 3 + k subtract x/3 on both sides
1 = -3 + k add -3 on both sides
k = 4 we're done!
and this makes sense because g(x) is just a translation of f(x) 4 units up.
Answer:
Step-by-step explanation:
In any square with side length 
, the diagonal of the square is equal to 
. Since the side length of this square is 
, the diagonal is equal to 
.
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
In this question, both legs are equal to , and we're solving for the diagonal, which is the hypotenuse in this case:
