Answer: (x - 2)(3x - 5)
Step-by-step explanation:
I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)
the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.
Based on the given equation above, get the value of x first so that this value can be substituted to the second equation. Value of x can be obtained by taking the arc sin of 7/11 which gives an answer of 39.52 degrees. Substituting this value to the second equation cos (90-39.52) gives an answer equals to 7/11
Answer: 
; 
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
<u>Pythagorean's Theorem:</u>
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.
<u>Sine of the Angle:</u>
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:
Plug this value of 'y' into the first expression derived from Pythagorean's theorem:
Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:
Answer:
c is not a fuction
Step-by-step explanation:
