Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
1) 0,4
2) 0,3/5
3) -6,6
4) -9/4, 9/4
5) -6+3√7, -6-3√7
6) 11,7
7) 6,-5
8) 5, -12
9) 10
10) -1/5,-2
11) -5/4, 3/2
12) -1/4, 8/3
13) -5, -6
14) -9, 1
15) 3,2
16) 8
17) 6,-4
18) 0,4
19) 7,5 (factored) 6,-1 (vertex)
The vertex form let’s you find the vertex. The factored form gives you the roots.
If I missed anything please tell me
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
Answer:
2 loops need to be done
Step-by-step explanation:
3.1/1.55=2
Twenty-four is the total.
So 14/24 would be the probability of a student who got an A to be chosen.
Fraction: 7/12
Percentage: 58.3%
If this helped, please give brainliest!
