Answer: x = 12.124
y = 14
Step-by-step explanation:
In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.
7/sin(30) = 14
You can use the Pythagorean Theorem to calculate x.
14^2= 7^2 + x^2
196 - 49 = x^2
147 = x^2
sr/rt 147 = sq/rt x^2
12.124 = x
Or with trig
7/tan(30)= 12.124
Answer:
y+4=-36 and the answer is y=-40
Step-by-step explanation:
So the word is means equals, meaning we can change it to say
"y more than 4 = -36
and more than means addition so we can put a plus sign there and we get
y+4=-36
then to solve this equation we need to get y by itself on one side and to do that we can move the 4 to the other side by subtracting it on both sides to cancel out the addition and we get y=-40
I hope this helps and please don't hesitate to ask if there is anything still unclear!
<span>196.9 million mi².........................</span>
Answer: 5 outfits
Step-by-step explanation: 17.63x2=35.26
437.63+35.26+18.11=491
680-491=189
189 divided by 35.19= 5 (rounded)
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
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