The point (-7,4) in on the terminal side of an angle t. Find sec (t) to two decimal places.
Answers
Answer:
-1.15
Step-by-step explanation:
The tangent of the angle can be found as ...
tan(t) = (y-coordinate)/(x-coordinate) = -4/7
The secant of the angle is related by ...
sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49
Then the secant of this 2nd-quadrant angle is ...
sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15
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Answer:
just do 68986
- 64997
______
3,989
Answers
Answer:
To calculate final grade we use the formula:
Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).
This formula help us to calculate the grade we need to get.
Step-by-step explanation:
Solution:
Suppose grade breakdown for certain college course is as follow:
Homework = 15%
Quizzes = 20%
Project = 10%
Test = 40%
Final exam= 15%
Let G represent the final grade
H represents homework average,
Q represents quizzes and P represent project, T represent test average and F represent final exam.
To calculate final grade we use the formula:
Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).
This formula help us to calculate the grade we need to get.
Final answer:
The final grade, G, can be computed by adding together the weighted values of the homework average, quiz average, project grade, test average, and final exam grade. This can be represented by the formula G = 0.20*H + 0.20*Q + 0.25*P + 0.15*T + 0.20*F.
Explanation:
To compute the final grade for the course, you will need to multiply each category by its weighting percentage, then add the results together. This can be represented as the following formula:
G = 0.20*H + 0.20*Q + 0.25*P + 0.15*T + 0.20*F
In this formula, G is the final grade, H is the homework average, Q is the quiz average, P is the project grade, T is the test average, and F is the final exam grade. The coefficients (0.20, 0.20, 0.25, 0.15, and 0.20) represent the weighting percentages in decimal form for each respective category.
Learn more about final grade calculation here:
#SPJ3
Answers
Answer:
y = 1/2
Step-by-step explanation:
Notice in this equation (x − y = 2) that there is "x".
Look at the other equation; it also has "x" (x = 5/2).
When the same variable is used, it has to be the same number.
Therefore x = x in both equations.
You can substitute, or replace one of the "x" with a value that another "x" is equal to => x = 5/2
We can replace the "x" in x − y = 2 using 5/2.
Take the longer equation
x − y = 2
(5/2) − y = 2 Substitute the value of "x"
5/2 − y = 2 Remove the brackets, they are not needed
Now isolate "y" to solve. This means to move everything that is not "y" to the right side, keeping "y" on the left.
When you move a number, do its reverse operation to the whole equation.
5/2 − 5/2 − y = 2 − 5/2 Subtract 5/2 on both sides
−y = 2 − 5/2 The 5/2's cancelled out on the left
Change "2" into fraction form because you need to subtract a fraction.
−y =
−y = Use a common denominator
−y = Both denominators are the same
−y = Combine over the same denominator
−y = Subtracted the numerators.
−y = Rewrite the negative
−y/-1 = Divide both sides by -1
y = Answer, solved for "y"
B) 5000(1.011117)t
C) 5000(0.987783)t
D) 5000(1.048883)t
Can someone explain to me how to solve this please
Answers
Answer:
C) 5000(0.987783)^t
Step-by-step explanation:
The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.
Each month, the previous balance (B) has interest charges added to it, so the new balance is ...
balance with interest charges = B + (22%)/12×B = 1.018333×B
The minimum payment is 3% of this amount, so the new balance for the next month is ...
balance after payment = (1.018333B)(1 - 0.03) = 0.987783B
Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...
5000×0.987783^t . . . . . . . . . matches choice C
Answers