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.
We can summarize that
By applying the law of cosines:
c² = a² + b² - 2abcos(C)
where:
a,b, and c represent the triangle's sides and C denotes the angle opposing side c.
Let us assign:
a=170 miles
b=200 miles
c=160 miles
Thus, we establish:
160² = 170² + 200² - 2(170)(200)cos(C).
We now aim to solve for C.
25,600 = 28,900 + 40,000 - 68,000cos(C).
25,600 - 28,900 - 40,000 = -68,000cos(C).
-43,300=-68,000cos(C).
Thus, cos(C)=0.6367.
C=arc cos(0.6367)--------> C=50.45°.
Consequently, the captain should adjust toward island B by
180 - 50.45 = 129.55 degrees.
The final answer is
129.55 degrees
.
Response:
Step-by-step explanation:
Given data:
Annual cost for members: 
Required:
Calculate the yearly expense for non-members
From the context, we infer that:
A non-member pays $0.20 per game;
Annual cost can be determined using the formula;
y = Amount * Number of Games
Where:
Amount = $0.2, Number of Games = x
Convert 0.2 to a fraction:
Divide the numerator and denominator by 2:
Therefore, the yearly expense for non-members is
Angles known as vertical angles are those that are located across from each other at a common vertex where two lines intersect.
In the illustration, there exists only one pair of vertical angles.
These are Angle TSW and Angle ISN, both converging at the vertex labeled S.
<span>Answer is: B. Angle ISN and Angle TSW.</span>
He will have more than sufficient, as he only has to account for an area of 84.1425 square feet.
