Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
Only the isosceles trapezoid has an area of 32 cm².
Step-by-step explanation:
Let's calculate the area of each polygon.
For the two triangles we have:
This polygon does not have an area of 32 cm².
For the rectangle we have:
This polygon does not have an area of 32 cm².
For the rectangle trapezoid we have:
So, this polygon does not have an area of 32 cm².
Finally, for the isosceles trapezoid:
This polygon does have an area of 32 cm².
Therefore, only the isosceles trapezoid has an area of 32 cm².
I hope it helps you!
Answer:
The answer is C) 2
Step-by-step explanation: I hope you get this right also.
Answer:
It moved because of this:
Step-by-step explanation:
the number 10 has one 0 in it.
you move the decimal place over how many times depending on how many 0s there are, so because there is <u>one</u><u> </u>0 in 10, you move it over <u>once</u>.
hope this helped!
Step 1: Make equation equal to Zero
3x^2 = 4x + 2
3x^2 - 4x - 2
Step 2: use equation
a= 3 b = -4 c= -2
after plugging in answer should be
(2 + or - sqrt 10) / 3
