Ok, so here, we need to use the slope formula which is:
(y2 - y1)/(x2-x1)
y2 = 9
y1 = 5
x2 = x
x1 = 10
So:
(9-5)/(x-10) = -2
Now, we just solve for x,
9-5 = -2(x-10)
4 = -2x+20
2x = 16
x = 8
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
C.
Step-by-step explanation:
5/8 = 20/32
20/32 ÷ 2 = 10/16
10/16 ÷ 2 = 5/8
Answer: 11.5%
Explanation:Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:

where

So, the z-score of 720 seconds is given by:

Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

Hence, there is
11.5% chance that the auditor will spend more than 12 minutes in an invoice.