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The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?

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lublana

Answer:

[tex]39.8^{\circ} C[/tex]

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

[tex]t(0)=10cos(15(0)-10)+30[/tex]

[tex]t(0)=10cos(-10)+30[/tex]

[tex]t(0)=39.8^{\circ} C[/tex]

Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]

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