11.
1 answer:
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Answer:
A straight line of approximately 75 meters, 1.4º north
Step-by-step explanation:
Hi, let's make it step by step to make it clearer
1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).
2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.
3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.
So, let's calculate the norm which is the length of the each vector.
1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.
Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:
Now, let's calculate each vector length by calculating the norm.
The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.
Answer:
Option A. ; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
we have
where
f(x) the number of weeds in the garden
x ----> the number of weeks
Calculate how quickly the weeds grow each day
Remember that a week is equal to seven days
so
Using the law of exponents
b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
so
therefore
The rate is approximately
1.04=1+r
r=1.04-1=0.04=4% daily
Answer:
The eighth of an inch scale measures more precisely.
Step-by-step explanation:
An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is inch.
Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is inch.
Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)