Answer: 18°
Step-by-step explanation:
Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say
x + y = 90°
Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°
i.e 90° - 72° = 18°
Thus, the complimentary angle of 72° is 18°
Gosh, when I saw that my mind went blank
Answer:
x ≈ {-11.789, +0.501, 11.288}
Step-by-step explanation:
The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...

Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.
_____
<em>Comment on the problem statement</em>
Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.
<span>b/a=c/d
Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement.
b/aâ‹…c/d=â’1
* This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer.
b/a=c/d
* b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two.
b/a=d/c
* b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer.
b/aâ‹…d/c=â’1
* And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation

As
so the standard deviation can be calculated as:
standard deviation 


Therefore, the standard deviation will be: 2.1