Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
Answer: 50x+30y+5z= 690
40x+15y+5z= 620
45x+10y+5z= 510
Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.
Answer:
3) y = 1/3x - 1
4) y = 2/5x + 0 or just y = 2/5x
5) y = -1x +4
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
