Angel D: 56 degrees that's the answer and your welcome
Answer:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches
<span>since sin and cos = each other at pi/4; take your integrals from 0 to pi/4
</span><span>[S] cos(t) dt - [S] sin(t) dt ;[0,pi/4]
</span>
<span>to revolve it around the x axis;
we do a sum of areas
[S] 2pi [f(x)]^2 dx
</span>
<span>take the cos first and subtract out the sin next; like cutting a hole out of a donuts.
</span><span>pi [S] cos(x)^2 dx - [S] sin(x)^2 dx ; [0,pi/4]
</span>
<span>cos(2t) = 2cos^2 - 1
cos^2 = (1+cos(2t))/2
</span>
<span>1/sqrt(2) - (-1/sqrt(2) +1)
1/sqrt(2) + 1/sqrt(2) -1
(2sqrt(2) - sqrt(2))/sqrt(2) = sqrt(2)/sqrt(2) = 1</span>
Answer:

Step-by-step explanation:
The given sequence is 3,15,75,375,...
The first term of this geometric sequence is

The common ratio is

The explicit formula is given by:

We plug the first term and common ratio into the formula to get:

Answer:
-5/6, -2/5, 2/5, 5/6
Step-by-step explanation:
put the fractions in your calculator and then click the fraction to decimal button and press enter.