The first one is correct.
There is a VERY simple way you can do this
Here is how.
It's called the "Butterfly Method" (IDK if anyone calls it that, but I do!)
So basically, you look at the numerator for one of your numbers, and the denominator of the other number, and you multiply them! So...
1/7, you would take the seven...
1/4, and multiply it by the one...
so 7×1
and you get seven!
Then you do...
1/7, take the one...
1/4, take the four...
so 1×4
and you get four!
Whichever one is bigger (or smaller, but only if you are trying to find out which fraction is smaller...) is your answer!
Hope this helped!!!!!!!!!!!!!!
Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;
The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;
