Answer:
1/24.
Step-by-step explanation:
Probability(Rolling an even number)
= 3/6 = 1/2.
Probability(Rolling a 3) = 1/6.
Required Probability = 1/2 * 1/2 * 1/6
= 1/24.
The probabilities are multiplied because the 3 events are independent.
Answer:
73 degrees (B)
Step-by-step explanation:
· Subtract the two known/Unknow angles
<h3>Answer:</h3>
The attached shows a graph
<h3>Explanation:</h3>
A graphing calculator can graph this for you when you give it the equation.
For graphing by hand, it is helpful to recognize that the equation is in "slope-intercept" form. This means the constant term (-9) is the y-intercept, the point on the y-axis where the line crosses. Mark the point -9 on the y-axis. (The coordinates are (0, -9).
The slope is 5/3, the coefficient of x. This means the line goes up 5 units for every 3 units it goes to the right. The point that is 3 over and 5 up from (0, -9) is (0+3, -9+5) = (3, -4). Mark that point.
Draw a line through the marked points.
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
Radius = 5.777 m
Step-by-step explanation:
Given that:-
The circumference of the circle = 36.31 m
The expression for the calculation of circumference is shown below as:
Thus,
Solving for radius, we get that:-
Radius = 5.777 m
<u>The approximate length of the radius is 5.777 m.</u>