You must demonstrate that the angles formed by adjacent sides equal 90 degrees. This can be established by showing that the adjacent sides are perpendicular through a comparison of their slopes.
The average score amounts to 73. Your average score is calculated by summing each test score, adjusted by the weight assigned to each test. The data we have includes: a score of 90 on the midterm, weighted at 30%; a score of 60 on the final, weighted at 50%; and a score of 80 on the class project, which is worth 20%. The average score is determined as follows: A = 90*0.3 + 60*0.5 + 80*0.2 = 73.
X(u, v) = (2(v - c) / (d - c) + 1)cos(pi * (u - a) / (2b - 2a))
y(u, v) = (2(v - c) / (d - c) + 1)sin(pi * (u - a) / (2b - 2a))
As v goes from c to d, the term 2(v - c) / (d - c) + 1 will vary from 1 to 3,
which perfectly defines the radius range. Simultaneously, as u varies from a to b, pi *
(u - a) / (2b - 2a) varies from 0 to pi/2, ideal for the angle. This maps the rectangle to R.
Answer: The unknown values x and y correspond to 8 and 20, specifically;
(x, y) = (8, 20)
Step-by-step explanation: The equation y = 16 + 0.5x represents a linear relationship that can be illustrated with a graph. This indicates that values for x and y can be located at various points on the line.
The ordered pairs signify that for each x value, there exists a matching y value.
The values listed in a two-column format for x and y all fulfill the equation y = 16 + 0.5x. Observing the first example, the pair (-4, 14) is presented.
This reveals that when x is -4, y will be 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 - 2
y = 14
Thus, the first pair, similar to the other pairs, satisfies the equation.
Consequently, by reviewing the options provided, we can deduce which one fulfills the equation.
(option 1) If x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) If x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) If x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
Our calculations confirm that the third option (8, 20) is the correct ordered pair for x and y.
Response:
1/6
Detailed explanation:
Let
c -----> the count of cola bottles chosen by Dan
s -----> the count of smarties selected by Dan
m -----> the count of marshmallows selected by Dan
we have
c=3s -----> A equation
m=2s -----> B equation
we understand that
To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets
The overall number of sweets is calculated as
(c+s+m)
substituting equations A and B into the total sweets
(3s+s+2s) =6s
Calculate the fraction
s/6s
Reduce it
1/6
