The answer is 26 cents, Because to the process that is in the image.
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
Center = (2, 3)
radius = 2
Process
1.- Find the equation of the line
(x - h)² + (y - k)² = r²
-Substitution
(x - 2)² + (y - 3)² = 2²
-Simplification
(x - 2)² + (y - 3)² = 4
-Evaluate the points in the equation
A. (4, 3)
(4 - 2)² + (3 - 3)² = 4
2² + 0 = 4
4 = 4 This point lies in the circle
B (-1, 0)
(-1 - 2)² + (0 - 3)² = 4
-3² + (-3)² = 4
9 + 9 = 4 This point is not part of the circle
C. (1, 3)
(1 - 2)² + (3 - 3)² = 4
(-1)² + (0)² = 4
1 = 4 This point is not part of the circle
D. (3, 4)
(3 - 2)² + (4 - 3)² = 4
1² + 1² = 4
2 = 4 This point is not part of the circle
In (4, 1) 4 represents x, and 1 represents y
y = 3x + 1
1 = 3(4)+1
1 = 12 + 1
1 ≠ 13 ← sides are not equal so (4, 1) is not a solution to y=3x+1
Answer:
she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.
Step-by-step explanation:
first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.
then minus 120 from 122 which gives 2 remaining cookies