We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.
Answer:
Step-by-step explanation:
Sin(A) = 5/7
Sin(A) = 0.7143
A = sin-1(0.7143
A = 45.58
B = 180 - 45.58 - 90
B = 44.43
C = 90
c = 7
a = 5
b^2 = c^2 - a^2
b^2 = 7^2 - 5^2
b^2 = 49 - 25
b^2 = 24
b = 4.899
Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets
free DVD
therefore,
For 38 DVD she gets
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs
Answer:
4
Step-by-step explanation:
BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4