Answer:
7.) Line, point
8.) Line
9.) Line, point, rotational
10.) Rotational
11.) None
12.) Line
Answer: 129
Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)
Area=3.14(5)²
=3.14(25)
=78.5
But since this is just a half circle, divide this by 2
That will get 39.25
Then add this to the area of the rectangle (L*W) which is 90
That will get about 129
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
63/x=90/100
5670=100x
56.7
The discriminant of this solution is 76.
