Answer:
Here, we will use the formula from trigonometry which defines a radian
we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed
hence, if the radius is r and the arc is r, the angle (in radians) will be 1
if the radius is r and the arc is 2r, the angle in radians will be equal to:
length of arc / radius = 2r/r = 2 radians
I believe this will explain what is actually happening in these type of questions
So, the equation:
Θ(in radians) = s / r (where the length of arc is s and the radius is r)
π/4 = s / 12
s = 3π or 9.42 inches
Answer:
21%
Step-by-step explanation:
($63*100%) / $300 = 21%
(- 2, - 3) is a solution to the given system of equations.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation are not presented in proper format. So, let assume the given system of are as below,
2 x - y = -1
2 x -4 y = 8
Now, subtract the second equation from the first, we get
(2 x - y) -(2 x - 4 y) = -1 -8
3 y = -9
y = -3 (obtained this when divide by 3)
Substituting y = - 3 into the first equation, we get
2 x - (-3) = - 1
2 x = - 1 + 3
x = - 2 (obtained when divide by 2)
Now, the answer is (x, y) = (- 2, - 3)
Answer:
it is irrational,because the product of an irrational number and a non zero rational number is irrational
Answer:
Step-by-step explanation:
The surface area of a rectangular prism has six sides so you must find the sum of the areas of all sides.
A=2xy+2xz+2yz
A=2(xy+xz+yz) you have x,y,z as 3,2,4 so
A=2(3(2)+3(4)+2(4))
A=2(6+12+8)
A=2(26)
A=52 cm^2
