There are an infinite number of solutions, so I don't plan to list them all.
I'll list two of them, and then describe how to get all of the rest.
You said that <u>2cos(x) - 1 = 0</u>
Add 1 to each side: 2cos(x) = 1
Divide each side by 2: cos(x) = 1/2
The angles whose cosine is 1/2 are 60 degrees, 300 degrees,
and any multiple of 360 degrees added to either of those.
Answer:
6
Step-by-step explanation:
A quadratic function is a function of the form f(x) = ax^2 +bx+c, where a, b, and c are constants and a <> 0. (a not equal to 0)
The term ax^2
is called the quadratic term (hence the name given to the function), the term bx is called the linear term, and the term c is called the constant term.
Answer:
The height of the tank in the picture is:
Step-by-step explanation:
First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:
- <em>1 liter = 1000 cm^3</em>
So:
- <em>1.2 liters = 1200 cm^3</em>
Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:
- Volume of a cube = long * wide * height
Now, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
- Height = 1200 cm^3 / (12 cm * 8 cm)
- Height = 1200 cm^3 / (96 cm^2)
- Height = 12.5 cm
Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:
- Heigth of the tank = Height empty zone + height zone with water
- Heigth of the tank = 12.5 cm + 7 cm
- <u>Heigth of the tank = 19.5 cm</u>
In this form, <u>we calculate the height of the tank in 19.5 cm</u>.
The domain of y = tan x is All x≠π/2 + n<span>π</span>
Answer:
Terms: 8, (-x²), x, (-4x)
Like terms: x and (-4x)
Step-by-step explanation:
A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.
Like terms are terms that have the same variables and power like x.
