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andrew11 [14]
3 years ago
14

By the Triangle Inequality Theorem which set of side lengths could create a triangle?

Mathematics
2 answers:
nadya68 [22]3 years ago
5 0

Answer:

B

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

So, let's test each of the points:

A) We have the points: 4, 8, 2. If we sum 4 and 2, the result is 6. Which is not greater than the third side which is 8. So it does not qualify for a triangle.

B) We have the points 5, 9, 6. If we sum 5+6 = 11 which is greater than 9. The sum of any two sides from this set is greater than the third side. It could create a triangle.

C) We have the points 6, 8, 16. If we sum  6+8 = 14 which is not greater than the third side 16. So it could not create a triangle.

D) we have the points 10, 4, 3. If we sum 4+3 = 7 which is not greater than 10. For that reason, it could not create a triangle.

Nonamiya [84]3 years ago
4 0

Answer: B

Step-by-step explanation:

the sum of any two sides is bigger than the third side... so 5+9= 14, bigger than 6. 5+6=11, greater than 9. 9+6=15, bigger than 5.

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Natali5045456 [20]

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B

Step-by-step explanation:

5 0
3 years ago
Find f(-5) if f(n) = n3 + 3n2
KATRIN_1 [288]
The answer is -50  because -5 squared is 25 and that times 3 is 75 -5 cubed is  -150 and -150 + 75 is 50     

5 0
3 years ago
A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second
Yakvenalex [24]
<span>Highest point = 1406.25 Number of seconds = 9.375 We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375 So let's calculate the height at t = 9.375. y = -16t^2 + 300t y = -16(9.375)^2 + 300(9.375) y = -16(87.890625) + 300(9.375) y = -1406.25 + 2812.5 y = 1406.25 So the highest point will be 1406.25 after 9.375 seconds. Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.' y = -16t^2 + 300t y = -16(9.375 + e)^2 + 300(9.375 + e) y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e) y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e y = 1406.25 - 16e^2 Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
4 0
4 years ago
I need help please?!!!!):
Daniel [21]

Answer:

4

Step-by-step explanation:

The mean of a set of data: <em>(n₁ + n₂ + n₃...)/n</em>, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

8 0
3 years ago
Read 2 more answers
Convert the fraction to higher terms. Enter the value of the missing numerator. 7/10=?/50
Crazy boy [7]

Answer: 7/10=35/50

Step-by-step explanation:

1. To get 50, you had to multiply 10 by 5, so do the same to the numerator, 7.

2. 7*5=35.

7 0
3 years ago
Read 2 more answers
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