The correct answer is "<span>Gallons per minute, because the independent quantity is time in minutes and the dependent quantity is the volume of water in gallons."
The dependent quantity is what is the calculated dependent on your independent. So, the volume of water in gallons is depending on the amount of time.</span><span>
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Answer:
D) 3 × (40 + 7) = 141
Step-by-step explanation:
(3 × 40 = 120) + (3 × 7 = 21) = 141
Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
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<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
Answer:
D
Step-by-step explanation:
First, find the slope of BC :
⇒ m (BC) = -1 - 5 / -3 - 5
⇒ m (BC) = -6/-8
⇒ m (BC) = <u>3/4</u>
Now, since AD is the altitude of BC, we can say the altitude is perpendicular to BC.
Hence, the slope of a perpendicular line is equal to the negative reciprocal of the original line.
⇒ m (AD) = - (1/m(BC))
⇒ m (AD) = - (1/(3/4))
⇒ m (AD) = -4/3
The mystery number is 16 because 16 - 6 = 10.
