Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
The area of a circle given it diameter is
So let answers question 1-4.
1. The area is
2. The area is
3.
4.
For the 5th problem, circumference is
where d is the diameter and
where r is the radius.
A circumference of 100 m means the radius is 50 because
So this means the area is
Answer:
Sum of interior angles = 720°
One interior angle = 120°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides in a polygon
Therefore, one angle in a regular polygon will be (180°(n-2))÷n
Hence
Sum of interior angles= 180°(6-2)
= 720°
One interior angle = 720°÷6
= 120°
Answer:
126
Step-by-step explanation:
THIS IS AN EXAMPLE:
Answer: Bradley scored 854 points and Harner scored 748 points.
Step-by-step explanation:
Start by representing the problem mathematically. "B" will represent Bradley's score, and "H" will represent Harner's score.
B+H=1602 represents that the sum of the scores is 1602.
B-H=106 represents that Bradley has 106 more points than Harner.
Now, combine the like terms in the two equations to get 2B=1708 . Now divide each side by two to find that Bradley scored 854 points.
Now, we can just subtract Bradley's score from the total score to get Harner's score. 1602-854=748, so Harner scored 748 points.
Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
-<u> 4x +9y = 63</u>
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
