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VMariaS [17]
3 years ago
15

Compare the given dimensions of four triangles. Which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft

side lengths of 2 ft, 11 ft, and 15 ft side lengths of 3 ft, 7 ft, and 11 ft side lengths of 4 ft, 8 ft, and 15 ft
Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0
(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
Examples:
2+11<15, so no
3+7<11, so no
4+8<15, so no
but 5+12>13  so yes, it can be constructed.
serg [7]3 years ago
4 0

Answer:

a

Step-by-step explanation:

just know this is 100% correct

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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0
3 years ago
James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to
gtnhenbr [62]

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

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Which property is not a characteristic of a parallelogram?
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Answer:

B

Step-by-step explanation:

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Answer:

A. {3,4}

Step-by-step explanation:

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8 0
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