Finding the equivalent angle of 
, the correct statements are given as follows:
- The Measure of the reference angle is 45.
.
.
<h3>What are equivalent angles?</h3>
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the given angle is as follows:
It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:
The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:
- The Measure of the reference angle is 45.
- .
- .
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Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
Hope this helps..................
Answer:
x = 3
Step-by-step explanation:
(x - 1)2 = 4
how to get this solved is very simple.
first step to apply is the BODMAS RULE
B..................... bracket
O..................... of
D.....................Division
M.................... multiplication
A..................... addition
S.................... Subtraction
so (x - 1)2 = 4
we have,
2x - 2 = 4 ( by opening the bracket)
collect the like terms
2x = 4+2
divide both sides by 2
2x/2 = 6/2
x = 3
to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside
(x - 1)2 = 4
(3-1)2=4
2(2)=4
4=4.............................. proved
The time spent by the repairman there will be 3 hours so the correct answer is option D.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.
The time will be calculated as:-
Total amount = $195
Now the fixed consulting cost will be $60 and will be deducted from the
total amount.
Variable cost = 195 - 60 = 135
The $45 per hour charge so for $145 the time will be:-
Time = 135 / 45
Time = 3 Hours
Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.
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