Answer:
Perimeter = 24 + 8π /3 m.
Step-by-step explanation:
Arc length = rC where r = radius and C = angle in radians.
40 degrees = 40 π / 180
= 2π /9 radians.
Arc length = 12 * 2π /9
= 8π /3 m.
Perimeter of the sector = 2*12 + 8π /3
= 24 + 8π /3 m.
Answer is C.
For every option, sub in the value and find the answer that matches the equation!
Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).
∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!
Answer:
(-2, 4)
Step-by-step explanation:
One of the equations is already solved for y, so let's solve the other one for y and by the transitive proprerty of equality, if y = y, then what those y's are equal to are equal to each other. Solving the first equation for y:
x + y = 2 so
y = -x + 2
Let's fill that in for y in the second equation. Where
, making the substitution,
Combining like terms and getting the x on one side and the constant on the other side of the equals sign:
The product of a fraction and its reciprocal is 1 so we will multiply both sides by
to get:
and we end up with x = -2.
Now that we know that, we can sub that in for x in either one of the original equations. I chose the first one:
If x + y = 2, then -2 + y = 2
and y = 4
Therefore, the solution set is (-2, 4)
Answer:
Step-by-step explanation:
Let the two whole numbers be 5x and 2x then
by the question
5x - 2x = 33
3x = 33
x = 33/3
x = 11
Therefore the numbers are
- 5x = 5*11 = 55
- 2x = 2*11 = 22
hope it helps:)
Answer:
The exact answer is sqrt(170)
The approximate answer is roughly 13.0384
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Explanation:
We have a right triangle with two known sides. Use the pythagorean theorem to find the third side
Known sides:
a = 7
b = 11
Unknown side is c which is the hypotenuse (longest side)
a^2 + b^2 = c^2
7^2 + 11^2 = c^2
49 + 121 = c^2
170 = c^2
c^2 = 170
c = sqrt(170)
c = 13.0384
Note: the last value is approximate