Answer:
no triangle can be formed with the given values (i.e 0 triangle).
Step-by-step explanation:
Given;
length of side a, = 10
length of side b, = 40
angle A, = 30°
Apply sine rule to determine the angle of the second side (B);
The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)
To solve this problem, you can use the compound interest formula.
Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30
Just solve the equation to find the solution.
Answer:
8x + 11y + 6
Step-by-step explanation:
5x + 2x + x = 8x
3y + 8y = 11y
6
8x + 11y + 6
1. is Quantitative/continuous. (C)
2. is Qualitative/ordinal. (B.)
3. is <span>Qualitative/ordinal (B.)
</span>Hope this helps! :D
