<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1 ==> sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5
Now recall the double angle identity for sine:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
==> sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25
Answer:
a = 10/3.
Step-by-step explanation:
We write the linear function as follows:
f(x) = mx + b where m is the slope and b is the y-intercept.
f(6) = 6m + b = 8
f(2) = 2m + b = 20 Subtracting these 2 equations:
4m = -12
m = -3.
and -3 * 2 + b = 20 so:
b = 20 + 6 = 26.
So we have the linear function:
f(x) = -3 x + 26
f(a) = 16 = -3 a + 26
-3 a = 16-26
a = -10 * -3 = 10/3.
Answer:
1152
Step-by-step explanation:
First we need to find the area of the wall in square inches
8 ft = 8*12 = 96 inch tall
36 ft = 36 * 12 = 432 inches wide
The area = 96 * 432 =41472 in^2
Each ounce of paint cover 72 in^2 so divide by 72
41472/72 =576
We need 576 ounces to cover the wall
At 2 dollars per ounces
576*2 =1152 dollars to paint the wall
Step-by-step explanation:
(x+3)(x-5)
= x²-5x+3x-15 = x²-2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again, (x-3)(x+5)
= x²+2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again , (x+3)(x²-4x+5)
= x³-4x²+5x+3x²-12x+15
= x³-x²-7x+15
But the given polynomial x³-15
So it is not the correct factorization.
So , optionD is the correct answer
3(6-7x)=-(x+2)
Use distributive property
18-21x = -x -2
Add x on both sides
18-20x = -2
Subtract 18 from both sodes
-20x= -20
Divide
Final Answer: x=1
