Answer:
12 different ways
Step-by-step explanation:
1 to 23
2 to 22
3 to 21
4 to 20
5 to 19
6 to 18
7 to 17
8 to 16
9 to 15
10 to 14
11 to 13
12 to 12
<h3>
Answer: A) -2</h3>
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Explanation:
Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (2-7)/(-6-4)
m = (-5)/(-10)
m = 1/2
The slope of line AB is 1/2
To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope
1/2 becomes -2/1 or simply -2
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Slope of AB = 1/2
Slope of BC = -2
Notice how the two perpendicular slopes multiply to -1.
We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer:
y=-1/2x-3
Step-by-step explanation:
