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earnstyle [38]
2 years ago
12

A pair of grant high school hockey fans counted the number of games won by the school each year

Mathematics
1 answer:
Mrrafil [7]2 years ago
5 0

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

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The triangle described is of the form SSA. Determine if there is no triangle possible, one triangle possible, or two triangles p
kvv77 [185]

Answer: The way to work this problem is to sketch the SSA-described triangle.

Horizontally, mark a ray stemming from point C, going to the right.

From point C, at an angle of elevation of 20 degrees, draw a segment a = 6.3, ending at point B.

Now, from point B, draw a segment perpendicular to the horizontal ray and label it h, for altitude.

Calculate h = 6.3 sin 20o = 2.1547.

Now imagine that, dangling from point B, you have a segment of length c = 9.3; in fact, put a compass with steel point at B and radius 9.3, and draw a big arc.  you'll see that it can intersect the horizontal ray only once; in its swing toward point C, due to c > a, there will be no second intersection of the ray (the arc 'overshoots' the ray).

Thus you see that only one solution exists, and the Law of Sines can be used to solve the triangle:

sin 20 / 9.3 = sin A / 6.3 and this leads to A = 13.4 degrees...and B = 180 - 20 - 13.4 = 146o.

I'll let you solve for b (side AC).

6 0
3 years ago
James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream in the same amount of time that he can t
nekit [7.7K]

Answer: the speed of the current is 0.6 mph

Step-by-step explanation:

Let x represent the speed of the current.

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)

Time = distance/speed

Time taken to travel downstream is

6/(3 + x)

In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is

4/(3 - x)

Since the time is the same, then

6/(3 + x) = 4/(3 - x)

Cross multiplying, it becomes

6(3 - x) = 4(3 + x)

18 - 6x = 12 + 4x

4x + 6x = 18 - 12

10x = 6

x = 6/10

x = 0.6 mph

4 0
3 years ago
Find the angle in degrees
BlackZzzverrR [31]

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

3 0
2 years ago
3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?
diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: (y_2-y_1)/(x_2-x_1). Plugging in the values (-2,0) and (2, -4), we get:

  • (-4-0)/(2+2)
  • -4/4
  • -1

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: b = y_1 - m * x_1

  • b = 0 -(-1) * (-2)
  • b = 1 * (-2)
  • b = -2  

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

  • y = mx +b
  • y = -x -2

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0
2 years ago
Read 2 more answers
Graph the system of equations. { x−y=6 4x+y=4 Use the Line tool to graph the lines.
lapo4ka [179]
The answer would be that the dot falls on the point (0,4)

8 0
3 years ago
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