Answer:
45 km^2 (C)
Step-by-step explanation:
Isolate the smaller square -
We only need two side lengths, take 3km and 3km.
3×3 = 9km^2, that's the area of the smaller square.
Isolate the larger square -
Take 6km and the other 6km
6×6 = 36km^2
Add the square's areas together to get the whole area -
36 + 9 = 45km^2
All you need to do to solve these problems is to isolate the shapes and find their area's, and finally add them together.
Answer: 16 miles
Explanation:
I believe it would be 16 miles, if he starts off at 6 miles on day one and goes up 1/2 mile every day, he would be up a mile every other day, basically on day 3 he would be at 7 and day 5 at 8 miles, if the pattern continues he would be at 16 miles by day 21.
Segment OX will be the radius.
YZ will be the tangent.
PQ might be the secant.
Hope this helps :)
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer is <
Why? 1/4 is smaller than 1/2
1/4 can be 4 slices while 1/2 can be 2 slices
2 slices > 4 slices
