Answer:
30
Step-by-step explanation:
180 = 90 + x + 20 + x + 10
90 = 2x + 30
x = 30
Answer:
6. 12.5 cm
7. 0.7241
Step-by-step explanation:
6.
You have 2 right triangles. You can use the Pythagorean theorem for each one.
a^2 + b^2 = c^2
Let y = length of vertical side between triangles.
Left triangle:
5^2 + y^2 = 13^2
25 + y^2 = 169
y^2 = 144
y = 12
Right triangle:
3.5^2 + 12^2 = x^2
12.25 + 144 = x^2
x^2 = 156.25
x = 12.5
Answer: x 12.5 cm
7.
For <X, 2.0 ft is adj leg. 2.9 ft is hyp.
cos X = 2.0/2.9 = 0.6897
X = cos^1 0.6897 = 46.397 deg
sin X = sin 46.397 deg = 0.7241
Answer:
The average value of the function on the given interval 6.5.
Step-by-step explanation:
Consider the given function is
We need to find the average value of the function on the given interval [1,13].
The average value of the function f(x) on [a,b] is
Average value of the function on the given interval [1,13] is
![Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7Bx%5E2%7D%7B2%7D-0.5x%5D%5E%7B13%7D_%7B1%7D)
![Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7B%2813%29%5E2%7D%7B2%7D-0.5%2813%29-%28%5Cdfrac%7B%281%29%5E2%7D%7B2%7D-0.5%281%29%29%5D)
![Average=\dfrac{1}{12}[78-0]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B78-0%5D)
Therefore, the average value of the function on the given interval 6.5.
Hello from MrBillDoesMath!
Answer: f(g(t)) = t
Discussion:
A function and its inverse "undo" each other. Suppose that
f(t) = t^2 and g(t) = t^ (1/2)
Then
A B C
g(f(t)) = g (t^2) = (t^2) ^ (1/2) = t
A: substitute the definition of f(t), that is t^2, in the equation
B: g(t) takes the square root if its argument
C: The square root of a squared item is the item itself.
Regards, MrB
We need a graph to be able to give an answer however,
it should follow this formula,
a+bi
where a is the real aspect of the point and b is the imaginary aspect.
Hope this helps.
