Answer:
Below.
Step-by-step explanation:
We need to prove this identity by taking the left side and trying to transform it to the right side.
LHS = sin(150 + x) + sin(150 − x)
= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150
= 2 sin 150 cos x
= 2 * 1/2 * cos x
= cos x = RHS.
So it is proved.
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, <span>the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
</span>
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
Answer: C
Steps: 4x + y = -4, x + y = 2
Isolate the x for (x + y = 2): x = 2 - y
Plug the value of x into the other equation: 4(2 - y) + y = -4
Simplify: -4y + 8 + y = -4
Combine like variables (letters): -4y + y = -3y
So -3y + 8 = -4
Subtract eight from both sides: -3y + 8 - 8 = -4 - 8
-3y = -12
Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3
Simplify: y = 4
Plug the value of y into one of the original equations (I'll use x + y = 2):
So x + 4 = 2
Isolate the x variable: x = -2
He side length would be 1.5ft.
Hope This Helps and God Bless!
Answer: x=1, y=4.162
X=2, y=5.022; x=3, y=5.882; x=4, y=6.742; x=5, y=7.602...
Step-by-step explanation:
We pick values for x, starting from 1.
When x=1,
Y = 0.860×1 + 3.302 = 4.162
When x=2,
Y = 0.860×2 + 3.302 = 5.022
When x=3,
Y = 0.860×3 + 3.302 = 5.882
When x=4,
Y = 0.860×4 + 3.302 = 6.742
When x=5,
Y = 0.860×5 + 3.302 = 7.602
...
