Answer:
d^2 - π(d/2)^2
Step-by-step explanation:
Since the diameter of the circle is equal to the side of a square (d), that means that we have a circle inscribed in square.
If we draw a square and inscribe a circle in it, all parts of the square outside the circle will be waste, in this particular case.
If we want to find the area of the wasted material we need to subtract the area of the circle from the area of the square.
Area of the circle is:
P1 = πr^2, r being the radius
Since radius is half the diameter, that means that:
P1 = π • (d/2)^2
Area of the square whose side is d is:
P2 = d^2
So, the area of wasted material is:
P = P2 - P1
P = d^2 - π(d/2)^2
Answer:
y = (1/4)x + 0
or
y = (1/4)x
the (1/4) is supposed to be a fraction of 1 in the numerator and 4 in the denominator
Step-by-step explanation:
Answer:
each sold 60 tickets
Step-by-step explanation:
Apparently, you're supposed to set the expressions equal and solve for t; then find the values of the expressions.
60(t -1) = 20(t +1)
60t -60 = 20t +20 . . . . . eliminate parentheses
40t = 80 . . . . . . . . . . . . . . add 60 -20t
t = 2 . . . . . . . . . . . . . . . . . . divide by 40
__
60(2 - 1) = 60 . . . . . solve for Falcons sales
20(2 + 1) = 60 . . . . .solve for Eagles sales (should be equal; it is)
Each team sold 60 tickets.
Answer:
Answer: 170%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
bisects angle BAC
Triangle ABC is isosceles triangle, because 
Angles adjacent to the base of isosceles triangle ABC are congruent.
Hence,
The sum of the measures of all interior angles is 180°, so,
Since bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,
AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,
