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icang [17]
2 years ago
6

Pls help just please will mark BRAINLIEST

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0

Answer:

44.2545

Step-by-step explanation:

you can find the third angle by taking 180-(90+55)=a

a=35

use law of sines

Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)

so, sin(a)/A=sin(b)/B

sin(35)/33=sin(55)/x

x=sin(55)/(sin(35)/33)

x=44.2545

Hope this helps :)

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6 0
3 years ago
Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

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A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

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k = -\frac{\ln{0.7278}}{10}

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Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

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The decay factor is:

1 - 0.8531 = 0.1469

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3 years ago
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If p(X)=x²-4x+5, then the value of p(1) is____<br>a)-1. b)0 c)1 d)2​
swat32

Answer:

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