Use the law of sines....(sina/A=sinb/B=sinc/C for any triangle)
What that means is the sine of an angle divided by the length of the side opposite the angle is a ratio that is true each angle/side pair...In this case:
sin90/122=sinc/22 rearrange to solve for sinc
sinc=(22sin90)/122 now take the arcsin to solve for c
c=arcsin[(22sin90)/122]
c≈10.388857815469611987441020361405
c≈10.39° (to nearest hundredth of a degree)
Answer: option 2 describes best
Step-by-step explanation:Given Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.
Step 1: (6x3 – 22x2) – (9x + 33)
Step 2: 2x2(3x – 11) – 3(3x + 11)
Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?
Marisol should realize that her work shows that the polynomial is prime.
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
According to question Marisol grouped the terms and has done factorisation of the given polynomial 6x^3 – 22x^2 – 9x + 33.
In step 1 she has written as (6x^3 – 22x^2) – (9x + 33)
Marisol has to go to step 1 in order to correct her mistake. She has to group the expression as (6x^3 – 22x^2) – (9x – 33) so that she will be able to get the expression as
6x^3 – 22x^2 – 9x + 33 after opening the brackets.
Answer:
f ≥ 40
d ≤ 200
Step-by-step explanation:
We have to write inequalities to represent the situation given:
a) The first condition is given as the vehicle's fuel efficiency is no less than 40 miles per gallon.
That means the vehicle's fuel efficiency is greater than or equal to 40 miles per gallon.
If we represent f as the vehicle's fuel efficiency ( in miles per gallon ), we can write the inequality as
f ≥ 40 (Answer)
b) The second condition is given as the distance to the nearest exit door is at most 200 feet.
That means the distance to the nearest exit door is less than or equal to 200 feet.
Therefore, if we represent d ( in feet ) as the distance to the nearest exit door, then we can write the inequality as
d ≤ 200 (Answer)
To simplify you use order of operations or PEMDAS
P- Parenthesis
E- Exponents
M- Multiplication
A- addition
S- Subtraction
8-6(3)+13
There's parenthesis so the first thing we have to do is multiply 6 by three which is 18 so then our expression is
8-18+13
since it's just subtraction and addition you can go in any order
8-31
-23
-23 is your answer
