<h3>
Answer: 2.2 units</h3>
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Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C

Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
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Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).
Answer:
Total FUTA : $669.6
Step-by-step explanation:
Given the information
- Person 1 earned $3900 in the first quarter
- Person 2 earned $20100 in the first quarter
- Person 3 earned $6900 in the first quarter
As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.
So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.
- Person 1: 3900 x 6.2% = $241.8
- Person 3: 6,900 x 6.2% = $427.8
=> Total FUTA : $669.6
Answer:
w = 
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
+ lx = 5x + 25
lx - 5x = 25 - 
x(l - 5) = 25 - 
x = 
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w = 
Answer: 0.15 m
Step-by-step explanation:
Using the small angle formula
D= kd/206265 where
k= 22 and d= 1400
D= 22 x 1400/206265
D=0.149 m
Hence the linear diameter is 0.15 m.