to gather data for a statistics project, a student asked 10 friends how many hours of sleep they got on the previous night. The
1 answer:
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Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = bh ( b is the base and h the perpendicular height )
here b = 14 and h = 4, hence
A = (14 × 4) = 28
<h2>Greetings!</h2>
Answer:
$25830
Step-by-step explanation:
If 100% of the car price is 24,600 , then you can imagine that extra 5% being added to this
100 + 5 = 105
So you need to find what 105% of the cost was.
To do this you can use the percentage formula:
Amount x
Now, you can simply plug the values into this
24,600 x
24600 x 1.05 = 25830
<h3>So the total cost including tax would be $25830!</h3><h3 /><h2>Hope this helps!</h2>Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>The slopes of perpendicular lines have product of -1:
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
