Answer:
12 and 16 or 12:16
6 x 2 = 12
8 x 2 =16
12 + 16 = 28
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Making the appropriate substitutions, we get
3/7 r + 5/8 s => 3/7 (14) + 5/8 (8).
Notice how this can reduced:
3(14) 5(8)
----------- + --------- = 6 + 5 = 11
7 8
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
<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>
Direct variation always has the relationship y=kx. Indirect inverse variation always has the relationship y=k/x.
In this case y=kx, where k=6, so this is a direct variation.
