Answer: 175V
Step-by-step explanation:
V112+V63=112v+63V
Add them together because the terms are like terms. Therfore, 112V+63V=175V
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.
For instance: ADC, its hypotenuse is 15
For ABC, it is 20,
so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'
x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)
So:
20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4
Which is C
Not sure whether it's too late to help you though!!!!
Also notice that it's kind of a product rule:
x * 20 = 15 * 15
I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
The formula for the perimeter of a rectangle is:
A=2l+2w.
We know the area is 116, so we can plug that in for A. Now, we cant solve the equation yet because it still has two variables. Since we know the length is 5 feet greater than the width, we can rewrite l in terms of w. So here is what our new equation will look like:
116=2(w+5)+2w
Now lets solve:
116=2w+10+2w
106=4w
w=26.5 ft.
The width is 26.5 ft.
Answer:
Option 4: 12.7
Step-by-step explanation:
You can look at the diagram as two 45º45º90º triangles.
By the properties of a 45º45º90º triangle:
OW=WL=a
OL=a√2
a√2 = 18
a=18/√2a≈12.728
