We can solve for the arc length using the formula shown below:
Arc Lenght = 2pi*r(central angle/360)
We need to convert the central angle such as:
Central angle = 23pi rad * (180°/pi rad) = 23*180
Radius = 24cm
Solving for arc length:
Arc length = 2*3.14 *24*(23*180/360)
Arc length = 1733.28 cm
Answer:
x=2 and y=1
Step-by-step explanation:
1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:
-2x-3(6x-11)=-7
2). Then, you distribute the "-3" to all the terms inside the parenthesis.
-2x-18x+33=7
3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.
-2x-18x=-40
4.) Then, you combine all of the terms containing an x.
-20x=-40
5). Finally, you divide both sides by -20 and the outcome is x=2.
6). Hold up...we ain't done yet..
7). Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.
y=6(2)-11
8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.
y= 12-11
9). Do the math...and the answer is y=1.
Answer:
Step-by-step explanation:
We will solve the given expressions and find the answer in decimals.
1). 
= 
= 5.4 - 2.8
= 2.6
2). 
= -3.3 + 0.35
= -2.95
3). 
= -3.125
4). (-4.5) × (-2.3) = 10.35
Solution of the expressions in the increasing order will be,
-3.125 < -2.95 < 2.6 < 10.35
Answer:
R is not collinear.
S is collinear.
Step-by-step explanation:
The equation of the graph is given by y =x +2 ........ (1).
Now, the points P and Q having coordinates (5,7) and (-1,1) respectively lie on the graph of the equation (1) because those points satisfy the equation.
Now, if we consider another point R having coordinates (1,-1), then it does not lie on the graph of equation (1) as it does not satisfy the equation.{If you put x=1, then y will be 3 but not -1}
Therefore, P, Q, R are not collinear. (Answer)
Again if we consider the point S(-3,-1), it satisfies equation (1).{If you put x=-3 in the equation (1), y will be -1}.
Therefore, P, Q, and S lie on the same straight line. and they are collinear. (Answer)
65+55=120
120÷2=60
So, it take them 60mins if they worked together.
