The period is 2.
Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2
The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
Answer:
70 centimeters squared
Step-by-step explanation:
area of trapezoid formula is 1/2 (b1 + b2)
1/2 (7+13)(7)
7 is base 1, 13 is base 2, 7 is the height
1/2(7+13)(7)
1/2(20)(7)
1/2(140)
70
Answer:
An equation is 92 + 2x = 180.
The congruent angles each measure 44°.
Step-by-step explanation:
1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.
2. To find the measure of each congruent angle, x, we have to solve the equation above.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 92 from both sides.
Step 3: Divide both sides by 2.
x = 44 means that the congruent angles each measure 44°.