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3 years ago

Find the length of the the missing triangle side

Mathematics

2 answers:

nalin [4]3 years ago

8 0

So the right answer is 5.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Lunna [17]3 years ago

5 0

Answer:

B. 5

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

Solution: a is the missing side or x

b is 12 cm

c is 13 cm

x^2 + 12^2 = 13^2

x^2 + 144 = 169

You need to transpose 144 to the right side so that it will become :

x^2 = 169 - 144

x^2 = 25

Now you have to discard the square root by using the square root property, it will become:

x = 5

Now the final answer is x = 5

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2 years ago

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antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

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Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

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3 years ago