Answer:
B and D
Step-by-step explanation:
A is false as it would be 3.08 when rounded.
C is false as it is rounded to the tenth not hundredth.
Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.
Exact Form:
x = ±√21 + 6
Decimal Form:
x = 10.58257569…, 1.41742430…
____
I hope this helps, as always. I wish you the best of luck and have a nice day, friend..
Yes 1 and 3 are supplementary
Answer:
4x / (2x^2+1)
Step-by-step explanation:
g(x)=ln(2x^2+1)
Using u substitution
u= 2x^2 +1
du = 4x dx
g'(x) = d/du ( g(u) du)
We know that the derivative of ln(u) = 1/u since this is always positive
= 1/ u* du
Substituting x back into the equation
g'(x) = 1/(2x^2+1) * 4x
= 4x / (2x^2+1)
