Answer:
answer is : Cos(13pi/8) = 0.3826
Step-by-step explanation:
We have, Cos (13pi/8)
Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi
Hence 13pi/8 lies on fourth quadrant.
In fourth quadrant cosine will be positive.
Cos (13pi/8) = cos(3pi/2 + pi/8)
applying formula cos(A+B) = cos A cosB - sinAsinB
i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)
∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1
Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)
Cos(3pi/2 + pi/8) = 0 + 0.3826
Cos(3pi/2 + pi/8) = 0.3826
Hence we got Cos(13pi/8) = 0.3826
Rewrite <span>88</span> as <span><span><span>22</span>⋅2</span><span><span>22</span>⋅2</span></span>.Factor <span>44</span> out of <span>88</span>.<span><span>√<span>4<span>(2)</span></span></span><span>42</span></span>Rewrite <span>44</span> as <span><span>22</span><span>22</span></span>.<span><span>√<span><span>22</span>⋅2</span></span><span><span>22</span>⋅2</span></span>Pull terms out from under the radical.<span><span>2<span>√2</span></span><span>22</span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span>2<span>√2</span></span><span>22</span></span>Decimal Form:<span>2.82842712<span>…</span></span>
<span>-2x-3=y in standard form
=
2x + y = -3
hope it helps</span>
<span>The table must show:
Time (minutes) number of gallons remaining
X y
0 Yo
1 Yo – 1.5
2 Yo – 2*1.5
3 Yo – 3*1.5
4 Yo – 4*1.5
And the equation will be ; Y = Yo – 1.5 x, where Yo is the initial amount of water in the bathtub.</span>
