Which expression is equivalent to cot t sec t?a.csc t
b.sin t
c.tan t
d.sin^2 t
e.csc^2 t
Answers
Related Questions
The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many bananas are there?
1.666667 as a fraction
What is the equation in point-slope form of the line that passes through the point (5,-5) and is parallel to the line represented by y = -8x - 2?
How many solutions does the system 2y=10x-14 and 5x-y=7 have
Answers
Answer: James had his gym membership for approximately 9 months.
Step-by-step explanation: To determine the number of months, m, James had his membership, we can set up an equation based on the given information.
The total cost of James' gym membership consists of two parts: the sign-up fee of $50 and the monthly fee of $65 multiplied by the number of months, m.
Therefore, the equation is:
Total cost = Sign-up fee + Monthly fee * Number of months
In this case, the total cost is $635, the sign-up fee is $50, and the monthly fee is $65. We want to find the number of months, which we will represent as m.
Plugging in the values, the equation becomes:
635 = 50 + 65m
Simplifying further:
635 - 50 = 65m
585 = 65m
To solve for m, we can divide both sides of the equation by 65:
m = 585 / 65
Calculating this division, we find:
m ≈ 9
Answers
Answer:
x = -3 and y = 1.
Step-by-step explanation:
The given system of equations is:
-x + 3y = 6 ---(1)
-10x - 3y = 27 ---(2)
To solve this system of equations, we can use the method of elimination or substitution.
Method 1: Elimination
To eliminate the variable y, we can add equations (1) and (2) together:
(-x + 3y) + (-10x - 3y) = 6 + 27
Simplifying the equation gives us:
-11x = 33
Dividing both sides of the equation by -11, we get:
x = -3
Now, we can substitute this value of x into either equation (1) or (2) to find the value of y. Let's use equation (1):
-x + 3y = 6
Substituting x = -3, we have:
-(-3) + 3y = 6
Simplifying the equation gives us:
3 + 3y = 6
Subtracting 3 from both sides of the equation, we get:
3y = 3
Dividing both sides of the equation by 3, we have:
y = 1
Therefore, the solution to the system of equations -x + 3y = 6 and -10x - 3y = 27 is x = -3 and y = 1.
Method 2: Substitution
Let's solve the system of equations using the substitution method.
From equation (1), we can express x in terms of y:
x = 6 - 3y ---(3)
Substitute this expression for x into equation (2):
-10(6 - 3y) - 3y = 27
Simplifying the equation gives us:
-60 + 30y - 3y = 27
Combining like terms, we have:
27y = 87
Dividing both sides of the equation by 27, we get:
y = 3
Now, substitute this value of y into equation (3):
x = 6 - 3(3)
Simplifying the equation gives us:
x = 6 - 9
x = -3
Therefore, the solution to the system of equations -x + 3y = 6 and -10x - 3y = 27 is x = -3 and y = 3.
Both methods lead to the same solution, which is x = -3 and y = 1.
□44
□19
□17
□11
Answers
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
A. The survey question is worded in a way that doesn’t introduce bias.
B. It should be reworded as a “yes or no” question to avoid bias.
C. This is a sensitive question because it relates to privacy and security.
D. It influences the respondent to say they are likely to install the security system.
Answers
Answer:
D. It influences the respondent to say they are likely to install the security system.
Step-by-step explanation:
Mentioning the recent influx of burglaries is a tactic to scare people into installing their security system.
Answers
Answer:
[-11,8]
Step-by-step explanation:
no need explanation, so clear