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Zarrin [17]
4 years ago
10

Brittany was tracking the increasing temperature in the morning. At 8 a.m. it was 68 degrees Fahrenheit. At 10 a.m. it was 74 de

grees Fahrenheit. If Brittany made the function f(x) = 3x + 36, what would the 36 represent? The temperature at midnight
The rate the temperature was increasing

The length of time she recorded for

The total change in degrees
Mathematics
2 answers:
Kazeer [188]4 years ago
5 0
36 is the y intercept, the value for the function when x = 0. In this function the x's are the times and the y's are the temperatures. so in this scenerio, when x = 0, the time would be midnight

guapka [62]4 years ago
4 0

<u>Answer</u>

The temperature at midnight


<u>Explanation</u>

The function that Brittany came up with is a linear equation. If the graph his graph was of temperature against time, then 36 would represent the Y-intercept.

In this case, it must be the time Brittany started tracking the increase in temperature. We are told that he start in the morning. This must be the midnight.

So, the answer is <em>The temperature at midnight </em>

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6 0
3 years ago
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
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