Use the law of sines....
sin51/x=sin90/67
x=(67sin51)/sin90
x=52.07
....
tan39=(h-1.8)/44
h-1.8=44tan39
h=44tan39+1.8
h=37.4 m
Let the cost of a chicken be x and the cost of a duck, y, then
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
Area of sector = PI x r^2 x (angle/360)
area = PI x 10^2 * (45/360)
area = PI x 100 * 45/360
Area = 25/2x PI
Area = 25PI/2
Answer is D
Answer:
g(x) = 12x + 27
Step-by-step explanation:
Take a point in the f(x).
f(0) = 12(0) + 3
f(0) = 3
A point on f(x) is (0,3).
Move the point 2 units left. It will make the x-coordinate decrease by 2.
0 - 2 = -2
A point on g(x) is (-2,3).
Substitute the point and the same slope into the equation of a line. The slope did not change.
y = mx + b
3 = 12(-2) + b
3 = -24 + b
b = 3 + 24
b = 27
Rewrite g(x) using b = 27 and the same slope, m = 12.
g(x) = 12x + 27
Answer:
7
Step-by-step explanation: its right
