answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Answer:
k = 5
Step-by-step explanation:
y = kx
15 = k(3)
k = 15/3
k = 5
Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse
12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20
You know hypothenuse is 20
Opposite/hypothenuse
Solution: 16/20
Simplify if you need to (4/5)
<em>1172. 08 in²</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>
<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>
<em>= 2(176 + 176 + 121) - 3.14*16</em>
<em>= 2*473 - 50.4</em>
<em>= 946 - 50.24</em>
<em>= 895.76 in²</em>
<em>A(cylinder) = πr² + 2πr*h</em>
<em>= 3.14*16 + 2*3.14*4*9</em>
<em>= 50.24 + 226.08</em>
<em>= 276.32 in²</em>
<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>
<em>Good luck !</em>
Meter
Kilogram
Liter
Kilowatt
