Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:
Step-by-step explanation:
Sales tax 25000(0.07) = $1,750.00
Property tax (25000 / 1000)(14.62) <u>= + $ 365.50</u>
Total tax $ 2115.50
I believe the correct answer from the choices listed above is option A. THe correct classification of the polygon in the figure would be a concave hexagon. Counting the number of sides, we have 6 sides making it a hexagon. It is concave since one side is <span>hollowed inward.</span>
Answer:
v= -3 and v= 11
Step-by-step explanation:
v^2 - 8v -33 = 0
v^2-11v+3v-33=0
v(v-11) +3(v-11)=0
(v+3)(v-11)=0
v+3=0 and v-11=0
v=-3 v=11
