Answer:
195.6 mph, 069 degrees
Step-by-step explanation:
two different ways, same result
How to find the area of this figure
1 answer:
Answer:
45 square units.
Step-by-step explanation:
Applying the pythagoras theorem:
Base of the bigger triangle = =
= 12 units
Area of a triangle is given by × base × height
The area of the bigger triangle is × 12 × 9 = 54 square units.
The area of the smallest triangle is × (12 - 10) × 9 = 9 square units.
The area of the figure( required triangle) is 54 - 9 = 45 square units.
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Answer:
3x + 2y = 0 or y = -3/2x
Step-by-step explanation:
The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:
m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)
Putting your point coordinates in this formula gives ...
m = (5 -3)/(5 -2) = 2/3
Then the perpendicular line will have a slope that is the opposite reciprocal:
slope of perpendicular = -1/m = -1/(2/3) = -3/2
You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...
y = mx + b . . . . . m is the slope and b is the y-intercept
y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)
Multiplying by 2 and adding 3x gives ...
3x + 2y = 0 . . . . . standard form equation
_____
<em>Comment on the attachment</em>
The geometry program I used to create the attachment wrote the equation of the line through the given points as ...
2x -3y = -5 . . . . . standard form equation
The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...
-3x +2y = <something>
In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.
3x +2y = 0 . . . . . a perpendicular in standard form
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If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.
_____
Method summary:
- find the slope of the given line
- determine its opposite reciprocal to find the slope of the perpendicular line
- use that new slope in an appropriate form to have the line go where you want it to go. (Point-Slope Form is often useful)
Answer:
There is no significant difference between the two averages at 5% level
Step-by-step explanation:
Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.
The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89
Thus he has done a hypothesis testing for comparison of two means of different subjects. n =30
Since which is better is not claimed we use two tailed test here
We find that p value our alpha
Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted