Answer:
x=41/4 -y
y=41/4 -x
Step-by-step explanation:
Answer:
Ryan sold 12 cell phones
Step-by-step explanation:
2000+15x12
The answer is C. this is because if each cookie is 35 cents and there are 100 cents in a dollar then that would be 35/100 or .35 then the X is the amount of cookies needed to sell to make more than $15. <span />
Option A. The angles do not have the same reference angle.
Explanation:
1) <u>Angle 5π / 3 radians:</u>
- Convert radians to degrees: 5π/3 × 180° / π = 300°
- 300° is in the fourth quadrant
- The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
- ∴ The reference angle for this angle is 60°.
2) <u>Angle 5π / 6 radians:</u>
- Convert radians to degrees: 5π/6 × 180° / π = 150°
- 150° is in the second quadrant
- The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
- ∴ The reference angle for this angle is 30°.
3) <u>Conclusion</u>:
- Since the reference angles are different, the tangent ratios have different values.
- tan (5π/3) = - tan(60°) = - √3
- tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
Answer:
x = 3.5; perimeter = 59; area = 8
Step-by-step explanation:
isosceles means the two legs equal each other so use same expression later on
6x + 8 = 2x - 6
6x - 2x = -8 - 6
4x = -14
x = 3.5
plug x value in the first expression to find the two sides that are equivalent to each other
6(3.5) + 8
21 + 8
29
plug x value into the second expression (the base)
2(3.5) - 6
7 - 6
1
perimeter = side 1 + side 2 + side 3
perimeter = 29 + 29 + 1
perimeter = 59
area = base × height/2 or bh/2
first plug in x value into height expression
4x + 2
4(3.5) + 2
14 + 2
16
area = 1 × 16/2
area = 16/2
area = 8