Elise has budgeted $800 in her checking account to spend during the summer for entertainment. She would like to have at least $2
2 answers:
To represent the inequality, let us define some variables first:
lets say 'w' represents the greatest number of weekly withdrawals:
Elise has budget of $800 in her checking account:
If she withdraws $50 each week then in 'w' number of weeks she has withdrawn dollars.
The amount left in her checking account is given by:
Now, she needs to have at least $200 available at the end of summer.
Which means:
The inequality can be used to determine the greatest number of weekly withdrawals.
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Answer:
Step-by-step explanation:
Start by noticing that the angle is on the 4th quadrant (between
and
. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:
Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:
The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle
which renders for the cosine function the value .
Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions:
Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is: