Angle BEC equals angle AED because there are vertical angles. so angle BEC=56
3. After 10 minutes, the height of the water is 4 inches
Answer:
1) P(20) = 0
2) P(0) = 0
3) P(10) = 4
4) P(4) = 10
Step-by-step explanation:
We are told that the function P(t) denotes the height of the water in the bath tub.
At P(0) = 0, it means that after 0 minutes, there is no water in the bath tub.
1) If after 20 minutes, the bathtub is empty, then we can depict the function as; P(20) = 0
2) The bath tub starts out with no water. It means at 0 minutes, there was no water in the tub. Thus;
P(0) = 0
3) If after 10 minutes, the height of the water is to be 4 inches, then;
P(10) = 4
4) If the height is 10 inches after 4 minutes, then;
P(4) = 10
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Diviode 140 by 2 to get X=70
Use the foil method
FIRST
OUTER
INNER
LAST
9x by 5x
9x by -7
-12 by 5x
-7 by -12
Then add and subtract like terms to get the answer.
Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:
Where <em>k</em> is the constant of variation.
Inverse variation is in the form:
In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:
We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:
Solve for <em>k: </em>
<em />
<em />
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So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
