Because the triangle is an equilateral triangle, you know that all of the angles are equal to 60°. That means that you can use trigonometry to find the height, which would be sin(60) × 20 = 17.32.
Again, because it is an equilateral triangle, all sides are equal as well, meaning that the base is also 20cm. To find the area of the triangle, we must do (20 × 17.32)/2 = 173.2cm^2, which is the area.
I hope this helps!
Answer:
a) 
pounds of hamburger meat can be purchased by spending 1 dollar
b) 1 pound of hamburger meat costs 2.8 dollars
Step-by-step explanation:
Rate in this case can be defined in two ways
a) The maximum amount of hamburger meat that can be purchased by spending 1 dollar
pounds of hamburger meat can be purchased by spending 1 dollar
b) The maximum cost of 1 pound of hamburger meat
dollar
Thus, 1 pound of hamburger meat costs 2.8 dollars
To solve for s all you have to do is factor the 7 and simplify the rest.
7s-21=21
7s=42
s=6
So how you find the x-intercept is is by replacing y, with 0 and solve
to find the y-intercept, you replace x with 0 and solve
x-int:
0=-3x+12
-12=-3x
x=4 --> (4,0)
y-int:
y=-3(0)+12
y=0+12
y=12 --> (0,12)
Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
