Answer:
Let the angle be x
∘
. Then it's complement = (4x)
∘
.
We know that if the sum of two angles is equal to 90
∘
then the angles are said to be complementary.
Step-by-step explanation:
4x+x=90°
5x=90°
x=90°/5
x=18
4×18=72°
This is the complete solution!
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The number of gallons of water in the tank at t=10 is
... W(10) = 160,000 -10(8000 -10) = 80100
The number of gallons of water in the tank at t=10.5 is
... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25
The rate of change over the interval is
... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5
The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.
The sign is negative, so the amount of water is decreasing.
Answer:
392
Step-by-step explanation:
Answer:
B. Alex smokes a pack of cigarettes per day even though he knows that he may face poor health down the road because of his smoking habit.
Step-by-step explanation:
Time preference means that the person would like to have temporary but instant satisfaction. In this case, B would be the best choice, for Alex wants to experience the "high" (I guess?) from smoking, even when he knew that there would be health consequences down the road.
In this case, it is not:
A, for Thomas is not going to receive his reward (a profit from the investment) until later on. The money he invest is still "there", but it is technically gone into investment.
C, because this is assuming that retirement is a long way off, and that this would be a long-term investment, rather than a short term.
D, this is a long-term investment, as Sarah "hopes" that she can earn it all back in the future. With what she learns, she, in the long run, wants to find a sustainable & high-paying job.
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Answer: The corrected statement is A - B = -B + A.
Step-by-step explanation: Given that the subtraction of a matrix B may be considered as the addition of the matrix (-1)B.
We are given to check whether the commutative law of addition permit us to state that A - B = B - A.
If not, We are to correct the statement.
If the subtraction A - B is considered a the addition A + (-B), then the commutative law should be stated as follows :
A + (-B) = (-B) + A.
That is, A - B = -B + A.
Thus, the corrected statement is A - B = -B + A, not B - A.