Answer:
The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function
∵ The domain of the function is -90° ≤ Ф ≤ 90°
- Lets take sinФ as a common factor
∴ sinФ (3 sinФ - 2) = 0
- Two terms multiplied by each other = 0
∴ One of them must be equal zero
∴ sinФ = 0 or 3 sinФ - 2 = 0
- If sinФ = 0 ⇒ Ф = 0.0°
- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3
∵ sinФ 2/3
∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)
∵ -90° ≤ Ф ≤ 90°
∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)
∴ The solutions of the equation are -41.8° , 0.0° , 41.8°
Answer:
48% of people do NOT like walking
Step-by-step explanation:
First, write it as a fraction 13/25 (People who like jogging)
We want to find out the number of people who DON'T like walking, so we subtract 25-13=12. Put 12/25.
Lastly, convert into a percentage. Percent is out of 100, so we need to make the fraction out of 100. To do this multiply the numerator and the denominator by 4. 48/100.
=
48%
Hope this helps,
Nathan
Area = length x width. So, you can't find the actual length and width from the area because there are infinite possibilities.
But you can figure out a set of likely solutions. For example:
If A = 35 l = 1, 5, 7, 35 and w = 1, 5, 7, 35.
We now know that the length and width must be one of these 3.
Even if the area is a prime number, there are still infinite fractional possibilities.
So, there really is no way to actually find the length and width from the area.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
Answer:
you have to show the angels...