Step-by-step explanation:
1. Ampltiude is 1
The period is
is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8
The formula for volume is base×height×width
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
Answer:
(2x - 7)³ ≠ (2x)³- 7³
Step-by-step explanation:
(2x - 7)³= (2x)³- 7³
Use pascal's triangle to expand left side. Simplify all else.
(2x)³ + 3(2x)²(-7)¹ + 3(2x)¹(-7)² + (-7)³ = 8x³- 343
8x³ + 3(4x²)(-7) + 3(2x)(49) + (-7)³ = 8x³- 343
8x³ - 84x² + 294x - 343 = 8x³- 343
LS ≠ RS
Answer:
Step-by-step explanation:
So, what is a quotient? Well, a quotient is like the sum, difference and product. When you add two numbers you get their sum, difference is for subtraction and product is for multiplication. So quotient is for division, or in other words the answer to a division problem.
Now, it's asking for the quotient of 91 and x, it isn't specifying which is being divided by which but it sound like it wants the first divided by the second. So that's 91 divided by x
