Answer:
1.083
Step-by-step explanation:
2.75-(9+6)/9
Answer:
1 1/12
Step-by-step explanation:
1 and 6 over 9/2 in converted into an improper fraction before you can do anything. you can do this by multiplying the one by 9 it should be coolant to 9 and then add it to the numerator. the fraction should equal 15/9. once you've got this new fraction you have to find the GCF otherwise known as the greatest common factor . 8 + 9 really don't have a lot of numbers that factor into each other . So in order to convert them to a place where you can easily subtract, you would multiply 22/8 by 9 and you would multiply 15/9 by 8 . this should be equal to 198/72 and 120/72. from this point you can easily subtract and see that the answer would be 78 / 72 . because 78 and 72 both end in 8 and 2 which are even numbers, you can reduce the fraction and convert it to a mixed number. At this point it should be equivalent to 1 1/12
Answer: y-(-6)=1/5(X-(-4))
Step-by-step explanation:
to put together a point slope expresion the equation would be y-y1=m(x-x1)
y1 and x1 being the points on the line and (m) being the slope
(x) 1 1 3 3
Output
(y) 4 2 12 6
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:
f(x) = 20 + 10x
What is the value of f(120), and what does f(120) represent? (5 points
Part A:
We usually take the input variable as 'x' and the output variable as 'y'.
In the given table, we can see that 1 is the input value corresponding to 4 and 2 both.
i.e. one input value corresponds to two different output values that contradicts the definition of the function.
Thus the given table doesn't represent any function.
Part B: Given : The total cost f(x), in dollars, for renting a paddle-boat for x hours is shown below:
At x= 120 ,
It represents that the total cost for renting a paddle-boat for 120 hours is $1220.
Answer:
The Third Choice
Step-by-step explanation:
In this question, we have to compare the sine of angle A and the cosine of angle B. As a review, the sine function is
and the cosine function is
.
For angle A, side BC is the opposite side, while side AB is the hypotenuse. [The hypotenuse of a right triangle is the side that is opposite to the 90 degree angle. In this case, AB is the hypotenuse because it is opposite of angle C, which measures 90 degrees.]
Now, we can determine the sine of angle A.
.
For angle B, side BC is the adjacent side, while side AB is the hypotenuse.
Using this information, we can determine the cosine of angle B.
As we can see, both the sine of angle A and the cosine of angle B have the same value. In other words, they are equal to each other. Therefore, the correct answer is the third choice.
Answer:
4 with a remainder of 1