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goldenfox [79]
3 years ago
7

Given: △ABC, m∠A=60° m∠C=45°, AB = 9 Find: Perimeter of △ABC Area of △ABC

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

Hope this helps

Step-by-step explanation:

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Which of the following square root of -80
Marta_Voda [28]

You can factor -80 as

-80 = (-1)\cdot 16 \cdot 5

So, we have

\sqrt{-80} = \sqrt{(-1)\cdot 16 \cdot 5}

The square root of a product is the product of the square roots:

\sqrt{-80} = \sqrt{(-1)}\sqrt{16}\sqrt{5}

Since i^2=-1 and 4^2=16, we have

\sqrt{-80} = 4i\sqrt{5}

8 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.

This means that the amount of caffeine after t hours is given by:

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}

-10k = \ln{0.7278}

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

k = 0.03177289938


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}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

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

7 0
3 years ago
Sophia went out to dinner at an Indian restaurant. The total bill was $54. She wanted to leave a 15% tip. What was her total bil
MissTica

Answer:

$62.10

Step-by-step explanation:

8 0
3 years ago
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Which of the following methods can’t
defon
I can’t answer this I need to see the graph
6 0
3 years ago
What number is 65% of 620?​
alina1380 [7]

Answer:

403

Step-by-step explanation:

Simply multiply 0.65 and 620 together to get 403 as your answer.

7 0
4 years ago
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