Answer:
A triangle equals 180 degrees.
A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)
Solving (1), (2) and (3) gives a = 9, b = -5, c = 19
Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425
Therefore, it costs $425 to produce 7 calculators.
5 students. 15 + 30 is 45, so the remainder is 5
Answer: m∠E = 20.5°
m∠GPF = 47°
Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:
m∠E = 
m∠E = 
m∠E = 20.5°
Angle in F is:
m∠F = 
m∠F = 
m∠F = 26.5°
The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:
m∠GPF = m∠E + m∠F
m∠GPF = 20.5 + 26.5
m∠GPF = 47°
Answer:
I think the answer should be floor 4 but since floor 5 is the closest I would go for that.
Step-by-step explanation:
there are 5 members initially in the group if every member has to bring 2 members and those 2 members have to also bring in 2 other members that mean 4 people that are brought in by one person and if there are 5 people in a group that means 20 people are brought in one floor if 20 * 4 is 80 plus the initial 5 members so they only need 4 floors to have at least 80 members.
