Answer:
5/13
Step-by-step explanation:
sin R = opp side/ hypotenuse
sin R = 5/13
<u><em>Answer:</em></u>
a. He will have to read half an article per night
b. Fraction of the reading assignment read each night = 
<u><em>Explanation:</em></u>
<u>Part a:</u>
<u>We are given that:</u>
number of articles to read = 4 articles
number of nights = 8 nights
To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights
<u>Therefore:</u>
number of articles to read per night =
articles per night
<u>Part b:</u>
Now, we know that he will read half an article each night from a total of 4 articles
To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments
<u>Therefore:</u>
Fraction of the reading assignment read each night = 
Hope this helps :)
−8x + 4y = 24 -- (1)
−7x + 7y = 28 -- (2)
Eqn (1) & (2) are simplified as
y - 2x = 6 -- (3)
y - x = 4 -- (4)
By making y the subject of formula in (4), we have
y = x + 4 -- (5)
Substitute x + 4 for y in (3), then
x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.
Substitute - 2 for x in (5), then
y = - 2 + 4
y = 2.
Therefore, (x, y) = (- 2, 2) ...Ans.
Answer:
12
Step-by-step explanation:
She walked the most on Friday because you have to find the LCD. The LCD is 24.
For example, to change the denominator of 4 to 24, you must divide 24 divided by 4 which equals 6. Since your answer was 6, you have to multiply both numbers, which are 3 and 4, by 6.
So, 4 times 6 is 24. This is the denominator and 4 times 3 is 18. This is the numerator.
If you do the same with all of the fractions then you will have the fractions of, 18 over 24, 12 over 24, and 9 over 24.
Look at all the numerators (the number on top of the fraction) and decide which one is the biggest.
18 is the biggest and since the fraction 18 over 24 was originally 3 over 4, this means that she walked the most on Friday.
Hoped this helps!!