Answer:
ahh pythagoras' theorem, my old nemesis...
Step-by-step explanation:
Answer:
AC = 15.588
Step-by-step explanation:
(all rounded to nearest thousandth)
sin(60) = x/18
first solve: sin(60) = 0.866
0.866 = x/18
multiply 18 on both sides
x = 15.588
Answer: 50% of the sandwiches were turkey, 30% were veggie and 20% were tuna.
Step-by-step explanation: The total number of sandwiches sold was 50 in all.
The sales according to type of sandwich were as follows;
25 Turkey
15 Veggie
10 Tuna
50 Total
Since there were 50 sandwiches sold and of these 25 were turkey sandwiches and another 15 were veggie sandwiches, then the remaining which is tuna sandwich is derived as 50 - [25 + 15] which equals 10.
To calculate the percentage per type of sandwich sold;
(a) Turkey is derived as
Percentage turkey = (25/50) x 100
Percentage turkey = 1/2 x 100
Percentage turkey = 50%
(b) Veggie is derived as
Percentage Veggie = (15/50) x 100
Percentage Veggie = (3/10) x 100
Percentage Veggie = 30%
(c) Percentage tuna = (10/50) x 100
Percentage tuna = 1/5 x 100
Percentage tuna = 20%
Two lines are perpendicular between each other if their slopes fulfills the following property

where m1 and m2 represents the slopes of line 1 an 2, respectively.
To find the slope of a line we can write it in the form slope-intercept form

Our original line is

Then its slope is

Now we have to find the slope of the second line. Using the first property,

Then the second line has to have a slope of 8.
The options given to us are:

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.
Then the line perpendicular to the original one is
Answer:
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