Step-by-step explanation:
I don't know what your teacher wants to hear here.
can you use and construct certain angles (particularly 90 degrees), can you use compasses ?
for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.
then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.
similar for the rectangle.
the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.
Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for 
such that 
is maximized. Once we have that , we can easily find the answer to part b.
Finding the value that maximizes is the same as finding the value that maximizes 
, just on a smaller scale. So, we really want to maximize . To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of such that the inner part of the square term is equal to 
.
.
So, the answer to part a is 
.
We can then plug 
into the equation for p to find the answer to part b.
.
So, the answer to part b is 
.
And we're done!
Answer:
1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.
2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?
3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?
11, 500 • 11 = 5,500
Hope this helps! Let me know if you need any further assistance!
