For this case we have that by definition, the circumference of a circle is given by:
Where:
d: Is the diameter of the circumference
According to the data we have to:
Substituting:
Rounding out we have that the diameter is: 80
Answer:
Option B
The equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
- Kyle and Lauren teach swimming lessons during the summer. Kyle has 8 classes with g students in each class and 6 classes with h students in each class.
- Lauren has 5 classes with g students in each class and 10 classes with h students in each class.
- If Kyle has a total of 62 students and Lauren has a total of 70 students,
The equation made by the given situation is:-
For kyle, there are g students attending 8 classes sp total number of students will be 8g similarly for h students there are 6 classes so the total number of h students will be 6h. The total number of students for both g and h students attending kyle's class is 62. So the equation will be given as:-
8g + 6h = 62
Now for Lauren, there are g students attending 5 classes so the total number of students will be 5g similarly for h students there are 10 classes so the total number of h students will be 10h. The total number of students for both g and h students attending Lauren's class is 70. So the equation will be given as:-
5g + 10h = 70
Therefore the equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.
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Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
bonufazy [111]
Answer:
-48
Step-by-step explanation:
Lets call L(x,y) = 10y²x, M(x,y) = 4x²y. Green's Theorem stays that the line integral over C can be calculed by computing the double integral over the inner square of Mx - Ly. In other words
Where Mx and Ly are the partial derivates of M and L with respect to the x variable and the y variable respectively. In other words, Mx is obtained from M by derivating over the variable x treating y as constant, and Ly is obtaining derivating L over y by treateing x as constant. Hence,
- M(x,y) = 4x²y
- Mx(x,y) = 8xy
- L(x,y) = 10y²x
- Ly(x,y) = 20xy
- Mx - Ly = -12xy
Therefore, the line integral can be computed as follows
Using the linearity of the integral and Barrow's Theorem we have
As a result, the value of the double integral is -48-
Answer:
The answer is 15 units.
Step-by-step explanation:
If you count the number of units from point A up to the same Y coordinate as point B, the amount of units is 9.
Then, the number of units from that point over to point B is 12 units.
Using this information, you can use the Pythagorean theorem to find that 9 squared is 81, 12 squared is 144, add 144 and 81 to get 225, and then you can find the square root of 225 which equals the answer of 15 units.
<span>The question asks us to find the quotient of 794.1 by 7.61, expressed to two decimal places. First we will divide those two numbers: 794.1 : 7.61 = 104.34954. Then we have to round the result to the 2 decimal places. After 104.34 is 9 so we have to round the number to 104.35. Answer: The quotient is 104.35.</span>
