There are 27 pansies.
The possible rows that will contain equal numbers of pansies are
1 row, 27 pansies in the row, or
3 rows, 9 pansies per row, or
9 rows, 3 pansies per row.
There are 36 daisies.
The possible rows that will contain equal numbers of daisies are
1 row, 36 daisies in the row,
2 rows, 18 daisies per row, or
3 rows, 12 daisies per row, or
4 rows, 9 daisies per row, or
6 rows, 6 daisies per row, or
9 rows, 4 daisies per row, or
12 rows, 3 daisies per row, or
18 rows, 2 daisies per row.
The only common row combination is 3 rows, with 9 pansies and 12 daisies per row.
Answer: 9 pansies in each row.
the value of sin ∅ is 12/ 13
<h3>Quadrants and the "cast" Rule:</h3>
- In the first quadrant, the values for sin, cos, and tan are positive.
- In the second quadrant, the values for sin are positive only.
- In the third quadrant, the values for tan are positive only.
- In the fourth quadrant, the values for cos are positive only.
From the given question,
We have, cos ∅= 5/13
From the trigonometric identities, we have that
Then , let's substitute the value of cos ∅
Let make sin the subject of formula and find the squares of the fraction
sin²∅ = 
Find the LCM
sin²∅ = 
Find the difference
sin²∅ = 
Find the square root
sin∅ = 
sin∅ = 
In quadrant II , sin is positive, so we have
sin ∅ = 12/ 13
Thus, the value of sin ∅ is 12/ 13
Learn more about quadrant here:
brainly.com/question/863849
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Hey there!
To use the substitution method in order to solve the system of equations,
y=7x+8
y=x+20 , first notice that both equations are set equal to the same value, y.
Knowing this, 7x+8 and x+20 both equal the same value so you would set them equal to one another:
7x+8=x+20.
This would be substitution as you are substituting one of the equations in place of y.
Now, solve for x:
7x+8=x+20
6x+8=20
6x=12
x=2
Now that you know x equals the value of 2, you can substitute the value into one of the equations to find y:
y=x+20
y=2+20
y=22
Now that you have x=2 and y=22, you can conclude that your answer would be (2,22) or choice B.
Hope this helps and have a wonderful day! :)
