You need to post a graphic. I tried drawing my own, but I do not know where point "P" is nor where point "R" is.
This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
It should be 20, 20x10% -> 22
Answer:
Step-by-step explanation:
In any square with side length 
, the diagonal of the square is equal to 
. Since the side length of this square is 
, the diagonal is equal to 
.
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
In this question, both legs are equal to , and we're solving for the diagonal, which is the hypotenuse in this case:
