Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
Answer:
The formula is 1/2 * b*h or b*h divided by 2
Step-by-step explanation:
36*4=144 -> 144/2=72.
Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
Answer: Option D: $7803
Step-by-step explanation:
just multiply 459 by 17 and you get your answer.
Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope
insert given points
((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
