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3 years ago

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third side?

Mathematics

1 answer:

pishuonlain [190]3 years ago

3 0

Answer:

The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

<u>Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:</u>

2 + 12 > x ⇒ x < 14
2 + x > 12 ⇒ x > 10
x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

<u>Combined together we have:</u>

10 < x < 14

The third side must be between 10cm and 14 cm

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

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7 months ago

If x2 = 60, what is the value of x?

MArishka [77]

Answer:

x = ±2sqrt(15)

Step-by-step explanation:

x^2 = 60

Take the square root of each side

sqrt(x^2) = ±sqrt(60)

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x = ±2sqrt(15)

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2 years ago

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kipiarov [429]

Answer:

<h3>QUESTION;</h3>

This data set represents the number of cups of flour used in different recipes.

What is the mean of this data set?

{12, 13, 23, 112}

Enter your answer as a fraction in simplest form in the box.

___ cups

<h3>ANSWER</h3><h3> 13 po </h3>

Step-by-step explanation:

<h3>#Carryonlearing</h3>

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1 year ago

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A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third side?