Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:

where
is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:

From the last part of the second sentence, we can set up the following equation:

We can substitute the second equation into the last one to get the following:



We can then substitute the last two equations in the first to solve for
:



Plugging this into the other two equations will give us the remaining ages:






Answer:
(35,0)
Step-by-step explanation:
Consider the diagram below, the starting point is given as A and the finish point given as C.
Using similar right-angle triangle, we have that:

Therefore to find the point where Derek stops at C, we first determine the distance |AC|
|AC|=7+28=35
The Coordinates at C where Derek stops is (35,0)
Answer:
sqrt7/4
Step-by-step explanation:
sin is opposite/hypotenuse which means sqrt63/12 then sqrt63=3sqrt 7 and simplifies get (sqrt7)/4 Done!
Starting from the half circle, the radius is 2, (from the other side of the figure) and using that, 2 x 2 = 4 x 3.14 (or pi) = 12.56. But, it's a half circle. So, 12.56 / 2 = 6.28.
One in the bag!
Going left, we have a rectangle. b x h = a. 6 x 8 = 48.
Done. (by the way, that's the enclosed space)
Finally, the triangle. The triangle's area is found by 1/2 x b x h. 1/2 x 2 x 6 = 6.
The full area of the figure is 60.28.
Hope this helped.