Answer:
$1000
Explanation:
If the employee has worked there for 20 years and for every year its 50 dollars. That would mean its 50x20 which eqauls 1000.
Answer:
1/5, 1/2, 3/4
Step-by-step explanation:
I just now this already from experience, but you could covert all of the fractions into a common denominator. For example use 20.
1/5 = 4/20
1/2 = 10/20
3/4 = 15/20
Then you just need to look at the numerators which 4,10,15 would be the order. And then make sure to convert to the original fractions making the final order be 1/5, 1/2, 3/4.
5.2g weighs more because A handful of paper clips is 5.2 grams. A handful of push pins is 500 centigram a. Which handful weighs more? So 1c equals .o1 grams so isn't it 5.2 g compared to .05 grams which then means the paper clips are heavier?
Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees
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Work Shown:
Each time I write the word "dot" I mean "dot product".
|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)
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|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)
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u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36
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cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)
That's why the approximate answer is roughly 71.6 degrees
The answer is 3.46 meters
You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.
c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters
