1. 62.5%
2. 2.6
3. 87.4
4. 7.4
5. 89.3
Hope this Helps!!
See the explanation
<h2>Explanation:</h2>
Here you haven't provided any options, so I'll give you some inputs and outputs. Remember that the input of a function is called the domain, that is, all the x-values for which the function is defined while the output is called the range, that are all the y-values for which the functions is defined. Therefore, this table shows some inputs and outputs for the function:
Input (x) Output f(x)
-3 -5
-2 -3
-1 -1
0 1
1 3
2 5
3 7
For finding each output, just replace x by the corresponding value and you'll get f(x). For instance:
<h2>Learn more:</h2>
Linear functions: brainly.com/question/12903636
#LearnWithBrainly
Answer:
You answer would be: constructive interference.
Have a great day/night! ^^
Answer:
A) x = 11 tan 49°
B) 12.7 inches
C) 14.7 inches
Step-by-step explanation:
(refer to attached for reference)
Let the length of the vertical side of the triangular sail be x
recall that for right angle triangle, the following trigonometric relation applies:
tan θ = length of opposite side / length of adjacent side
in our case,
θ = 49°
length of adjacent side = 11 inches
length of opposite side = length of vertical edge of sail = x (which we defined above)
hence we can assemble our formula
tan 49° = x / 11 (rearranging)
x = 11 tan 49° (Answer for A)
Using a calculator to solve this gives
x = 12.65 inches
x = 12.7 inches (to nearest tenth) (Answer for B)
The height of the mast is merely the height of the sail plus the 2" length of mast extending below the sail.
Mast height = 12.7" + 2" = 14.7" (Answer for C)
This problem involves two unknowns, thus, it can be solved using two independent equations. We first assign a variable for each real number.
Let:
x = first real number
y = second real number
Two independent equations must then be set up which will come from the problem statement. The first equation is obtained from the statement that the average of the two real numbers is 41.375. The second equation then shows that the product of the two real numbers is equal to 1668. The equations are then:
(1) (x + y)/2 = 41.375
(2) x*y = 1668
We then express the variable y in terms of x, such that, y = 1668/x. This is then applied in equation 1 in order to have only a single variable in the equation. After doing mathematical operations, x is then calculated to be 34.75. This value of x is then substituted in the second equation to obtain y. Finally, the two real numbers have been determined to be x = 34.75 and y = 48.