Answer:1. 16
2. 21
3. 150
4. 156
Step-by-step explanation: for the first 2 you divide the number without the variable and the number with the variable. With the last 2 you multiply the number with and without the variable together.
Answer:
The company's profit made out of selling $6 per unit is $120
Step-by-step explanation:
You basically insert 6 for s and evaluate...
-10(6)^2+110(6)-180, first you multiply the exponents...
-10(36)+110(6)-180, then multiply...
-360+660-180, then simplify...
300-180
=120
Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
Answer:
the third option, x = –3, –1, 3
Step-by-step explanation:
3/10=15/50 and then 8/25=16/50
So, 3/10<8/25
