Does 12cm, 7cm, 5cm, make a triangle

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

Answer:

No, it doesn't.

Step-by-step explanation:

In order to find what makes a triangle, lets use the Triangle Inequality Theorem!

This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not

Here is our formula(s):

1.) a + b > c

2.) a + c > b

3.) b + c > a.

Lets make a=12, b=7, & c=5

1.) 12 + 7 > 5

19 > 5

2.) 12 + 5 > 7

17 > 7

3.) 7 + 5 > 12

10 > 12

As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if all the two side lengths of a triangle is greater than the third side, then it makes a triangle.

You might be interested in

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followi

vfiekz [6]

Answer:

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 5,000,000,000.

So, the equation becomes:

5,000,000,001 = 1 + 2^(n-1)

$2^{n-1}= 5,000,000,001$

$log(2^{n-1}) = log(5,000,000,000)$

(n-1) * log(2) = log(5,000,000,000)

n-1 = log(5,000,000,000) / log(2)

n-1 = 22.25

n = 33.25

Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.

7 0

3 years ago

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$