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2 years ago

Find the value of z and y

Mathematics

2 answers:

Triss [41]2 years ago

8 0

Answer:

z = 50 . y = 20

Step-by-step explanation:

y = 20 (due to vertically opposite angles)

20 + 5(20) + 10 + z = 180 (basically a straight line)

20 + 10 + 100 = 130

180 - 130 = 50

z = 50

Extra: If you need x,

90 + 20 = 110

180 - 110 = 70

x = 70

RideAnS [48]2 years ago

4 0

Answer: y=20, z=50

Step-by-step explanation: So first y is equal to 20 because of vertical angles.

and if we know y is 20 then we do the equation

20+z+5(20)+10=z+130

and since we know line segment DA is a straight angle it is 180 degrees.

180-130 will be 50 so you got 50 degrees for z

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weeeeeb [17]

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3 years ago

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3 years ago

At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
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Substituting k back into cooling equation gives:
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At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
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Solve for x:
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Sub back into original cooling equation, x = T(t)
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$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

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