Answer:
76.54 ft
Step-by-step explanation:
Pythagorean theorem
37^2 + 67^2 = d^2
d = 76.54 ft
Answer: equally likely
Step-by-step explanation: I have a coin. My coin has 2 sides. I have a 50 percent chance of landing on ether side so equally likely.
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>
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So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
Answer:
A. Q = 15 °C
B. 0.4 °C
C. Q = 23 °C
Step-by-step explanation:
The following equation models the temperature of Quin's home,
Q = 15 + 0.4t
Where Q is the temperature in degree Celsius and t is the time in minutes
A. What was the temperature when Quinn returned from vacation?
At this time, t = 0 since Quin is just arrived
Q = 15 + 0.4(0)
Q = 15 °C
B. how much does the temperature increase every minute?
0.4(t)
0.4(1)
0.4 °C
The temperature increases by 0.4 centigrade every minute.
C. How much will the temperature increase if Quinn leaves the heat on for 20 minutes
For t = 20 mins
Q = 15 + 0.4(20)
Q = 15 + 8
Q = 23 °C
