Tan(angle) = Opposite leg / adjacent leg
Tan(27) = Y / 350
Y = 350 x tan(27)
Y = 178.3 feet.
Question:
The quantities x and y are proportional.
x 15 25
y 5 8⅓
Find the constant of proportionality.
Answer:
r = ⅓
Step-by-step explanation:
To find the constant of proportionality, we make use of the following formula
y = rx
Where y is the given data in the y row
r is the constant of proportionality
x is the given data in the x row.
Using the first values of x and y.
When x = 15, y = 5.
So,
y = rx becomes
5 = r * 15
5 = 15r
Divide through by 15
5/15 = 15r/15
⅓ = r
r = ⅓
Taking the second values of x and y
when x = 25, y = 8⅓
So,
y = rx becomes
8⅓ = r * 25
8⅓ = 25r
Convert mixed fraction to improper fraction
25/3 = 25r
Divide through by 25
25/3 ÷ 25 = 25r/25
25/3 * 1/25 = r
25/75 = r
⅓ = r
r = ⅓
Notice that r = ⅓ is the same for both values of x and y.
Hence, the constant of proportionality is ⅓
<h2>
Answer:</h2>
<h2>15x=8</h2>
as according to law if a number is multiplied at one side then it will be divide to other side
so
<h2>x=8/15</h2>
Step-by-step explanation:
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C. Opposite angles of a parallelogram are congruent.
Angle 1 is congruent to angle 2 because they are opposite angles of the larger parallelogram. Angle 2 is congruent to angle 3 because they are opposite angles of the smaller parallelogram.
Answer: 3
Step-by-step explanation:
16+3=19