Step-by-step explanation:
sin2x - sinx = 0
2sinxcosx - sinx = 0
(Double Angle Formula)
sinx(2cosx - 1) = 0
Either sinx = 0 or cosx = 1/2.
When sinx = 0,
x = 0 or x = π.
When cosx = 1/2,
x = π/3 or x = 5π/3.
Hence the solutions are
x = 0, x = π/3, x = π or x = 5π/3.
Answer:
8 students
Step-by-step explanation:
2 boys
6 girls
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Answer:
The volume of the empty space is
Step-by-step explanation:
we know that
The volume of the empty space inside the box is equal to the volume of the box minus the volume of the soccer ball
step 1
Find the volume of the box
The length side of the cube is equal to the diameter of the soccer ball
Let
b -----> the length side of the box
we have
The volume of the box is equal to the volume of a cube
substitute
step 2
Find the volume of the soccer ball
The volume of the sphere (soccer ball) is equal to
we have
substitute
step 3
Find the volume of the empty space
Answer:
She earned $959.2 last week.
Step-by-step explanation:
This question can be solved using a rule of three.
Base:
$500.
On commissions:
She earns 8.2% on commissions.
She sold $5,600, which is 100% = 1. How much is 8.2% = 0.082?
x - 0.082
5600 - 1
x = 5600*0.082 = 459.2.
She earns $459.2 on commissions.
Total:
500 + 459.2 = $959.2
She earned $959.2 last week.