Answer:
x = 23
y = 110
Step-by-step explanation:
70 and 3x+1 are alternate exterior angles and that means they are equal
70 =3x+1
Subtract 1 from each side
69 = 3x
Divide by 3
69/3 =3x/3
23 =x
70 and y are same side exterior angles and that means they are supplementary ( add to 180)
70+y = 180
y = 180-70
y = 110
Answer:
3 sin(41t) - 3 sin(t)
Step-by-step explanation:
The general formula to convert the product of the form cos(a)sin(b) into sum is:
cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]
The given product is:
6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]
Comparing the given product with general product mentioned above, we get:
a = 21t and b = 20t
Using these values in the formula we get:
6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]
= 3 [sin(41t) - sin(t)]
= 3 sin(41t) - 3 sin(t)
Therefore, second option gives the correct answer
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:
What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So
The initial height of the balloon is 2 feet.
