(4,3)(2,2)
slope = (2 - 3) / (2 - 4) = -1/-2 = 1/2
y = mx + b
slope(m) = 1/2
use either of ur sets of points...(4,3)...x = 4 and y = 3
now we sub and find b, the y int
3 = 1/2(4) + b
3 = 2 + b
3 - 2 = b
1 = b
so ur equation is : y = 1/2x + 1 <==
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
5.250
To change a fraction to a decimal fraction divide the numerator by the denominator.
that is 21 ÷ 4 = 5.250 ( to 3 decimal places )
The interior angles of a quadrilateral shape add up to 360 so 116+93+45+x = 360 with x equaling 106
Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
