Answer:
angle c = 107°
angle b = 107°
angle a = 73°
Step-by-step explanation:
Given:
Two line XY and WZ intersect each other and make four angle [a, b, c, d]
Given that Angle d = 73°
Find:
angle a
angle b
angle c
Computation:
We know that angle c and angle d situated on same line XY
So,
angle c + angle d = 180°
angle c + 73° = 180°
angle c = 107°
We know that angle b and angle d situated on same line WZ
So,
angle b + angle d = 180°
angle b + 73° = 180°
angle b = 107°
angle a and angle d are vertical opposite angle
So,
angle a = angle d
angle a = 73°
3x^(8/5) any futher 3 is written in irrational terms
Answer:
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>
<u></u>
Step-by-step explanation:
You have the following function:
![M(t)=(1.34)^{\frac{t}{6}+4}](https://tex.z-dn.net/?f=M%28t%29%3D%281.34%29%5E%7B%5Cfrac%7Bt%7D%7B6%7D%2B4%7D)
To know what is the factor that multiplies the mass of the sunfish each day, you derivative the function M(t):
(1)
where you have used the following general derivative:
![g(t)=a^{f(t)}\\g'(t)=a^{f(t)}f'(t)ln(a)](https://tex.z-dn.net/?f=g%28t%29%3Da%5E%7Bf%28t%29%7D%5C%5Cg%27%28t%29%3Da%5E%7Bf%28t%29%7Df%27%28t%29ln%28a%29)
The derivative give you the increase in the mass per day (because t is days). By the expression (1) you can conclude that each day the mass increase a factor of [ln(1.34)/6].
Every day, the mass of the sunfish is multiplied by a factor of <u>[ln(1.34)/6]. </u>
we solve the second system: (it is more easy).
8x+9y=48
-8.5y=-51 ⇒y=-51/-8.5=6
8x+9(6)=48
8x+54=48
8x+54-54=48-54
8x=-6
x=-6/8=-3/4
Then; in te second system the solution is : x=-3/4; y =6
Now, we replace "x" by "-3/4" and "y" by "6", in the first systmen.
8x+9y=48
8(-3/4)+9(6)=-6+54=48. verified
12x+5y=21
12(-3/4)+5(6)=-9+30=21 verified
Therefore,
These two wystems are similar.