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3 years ago

Do these measurements create a triangle? true or false?

Mathematics

2 answers:

8090 [49]3 years ago

5 0

Answer:

Question 9: True

Question 10: False

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the last side.

To test if the three lengths create a triangle you would have to test the three combinations if the two numbers are greater than the last number.

<h3>Question 9:</h3>

<u>The three lengths 6, 6, 5 create a triangle.</u>

First check the first two numbers.

6 + 6 = 12
12 > 5, so this is valid.

Next check the first and last number.

6 + 5 = 11
11 > 6, this is also valid.

Last check the second and last number.

6 + 5 = 11
11 > 6, all three combinations are valid for creating a triangle.

The answer for question 9 is TRUE.

<h3>Question 10:</h3>

<u>The three lengths 7, 2, 5 create a triangle.</u>

Check the first two numbers.

7 + 2 = 9
9 > 5, this is valid.

Check the first and last number.

7 + 5 = 12
12 > 2, this is also valid.

Finally, check the second and last number.

2 + 5 = 7
7 = 7, this is NOT valid because it MUST be greater than. Therefore these three lengths are not able to create a triangle.

The answer for question 10 is FALSE.

Alborosie3 years ago

4 0

Answer:

Question 9: False

Question 10: False

Step-by-step explanation:

The third side is always greater than the other two sides.

<u>Question 9</u>

a = 6, b = 6, c = 5

Since the third side is the smallest, it would not create a triangle.

<u>Question 10</u>

a = 7, b = 2, c = 5

Since the third side is the smallest, it would not create a triangle.

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3 years ago

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babunello [35]

Answer:

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Step-by-step explanation:

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We know the area = $15 inches^{2}$ and the height = 5 inches

$15 in^{2} = \frac{1}{2} (b)(5)$

if we had both the base and the height, the next step would be to multiply

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∴ the base = 6inches

to check if our answer is correct, we can place these numbers into the formula

A = $\frac{1}{2} (6)(5)$

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I hope this was helpful :-)

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3 years ago

Evaluate 2^3x-1 for x = 1.

inna [77]

Step-by-step explanation:

x=1

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3 years ago

Read 2 more answers

What are the domain and<br> range of the function below?

Olin [163]

Answer:

2nd answer option

Step-by-step explanation:

the domain is the interval or set of valid x values. the range is the same for valid y values.

so, what is the smallest x value we see in the functional graph ?

x = 0

there is no functional value for any x smaller than that.

and then the function goes on and on to the right in all eternity. that means it goes to infinity.

so, domain = [0, infinity)

please consider the round bracket at the end, because "infinity" is not a number.

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in this case I start to ask for the largest y value.

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but it goes down and down in all eternity, going also to infinity, but -infinity (down is negative for y).

so, the range = (-infinity, 4]

"-infinity" is also not a number and therefore not included (hence the round bracket).

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2 years ago

Which equation can be used to find 40% of 25

guapka [62]

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4 years ago