Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
In the Figure below is shown the graph of this function. We have the following function:
![f(x)=x^3+2x^2-x-2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2B2x%5E2-x-2)
The
occurs when
, so:
![f(0)=(0)^3+2(0)^2-(0)-2=-2](https://tex.z-dn.net/?f=f%280%29%3D%280%29%5E3%2B2%280%29%5E2-%280%29-2%3D-2)
Therefore, the
is the given by the point:
![\boxed{(0,-2)}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%280%2C-2%29%7D%20)
From the figure we have three
:
![\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}](https://tex.z-dn.net/?f=%20%5Cboxed%7BP_%7B1%7D%28-2%2C0%29%7D%20%5C%5C%20%5Cboxed%7BP_%7B2%7D%28-1%2C0%29%7D%20%5C%5C%20%5Cboxed%7BP_%7B3%7D%281%2C0%29%7D%20)
So, the
occur when
. Thus, proving this:
![f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0](https://tex.z-dn.net/?f=%20f%28x%29%3Dx%5E3%2B2x%5E2-x-2%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B1%7D%3A%5C%5C%20If%20%5C%20x%3D-2%2C%20%5C%20y%3D%28-2%29%5E3%2B2%28-2%29%5E2-%28-2%29-2%3D0%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B2%7D%3A%5C%5C%20If%20%5C%20x%3D-1%2C%20%5C%20y%3D%28-1%29%5E3%2B2%28-1%29%5E2-%28-1%29-2%3D0%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B3%7D%3A%5C%5C%20If%20%5C%20x%3D1%2C%20%5C%20y%3D%281%29%5E3%2B2%281%29%5E2-%281%29-2%3D0%20)
So first you need to turn the percent into a decimal. So 23% would be 0.23 because you divide 23 by 100 to turn it into a decimal. Now you multiply 0.32 and 256. So:
So your answer would be 23% of 256 is 58.88. I hope this helps! =)
So do you have A B C it would help
Answer:
6m
Step-by-step explanation:
Set up a proportion:
x/1.5=10/2.5
Cross multiply:
15/2.5=2.5x/2.5
x=6
The palm tree is 6m tall.
Hope this helps!