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pishuonlain [190]
3 years ago
15

Determine the possible side lengths of the third side of a triangle with known side lengths 3 and 6. answers: –3 < c < –9

3 < c < 9 3 < c < 6 –6 < c < 9
Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

3 < c < 9

Step-by-step explanation:

The length of a side of a triangle cannot be negative. This eliminates the first and last options.

The addition of two sides of a triangle must be greater than the third side. In this case:

3 + 6 = 9 > c

So, the second option is correct. The third option is not correct, because, for example, c = 8 is possible

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rusak2 [61]

Volume of the first aquarium =  (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose  17.44 times as long to fill the second one

                              =  (17.44) x (2 minutes)  =  34.9 minutes.
8 0
3 years ago
A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y
stiv31 [10]

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

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3 years ago
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3 years ago
In order for a field trip to be scheduled, at least 30 students
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Answer:

7 more students need to sign up.

Step-by-step explanation:

if you subtract the number of students needed by the number of students you have, you get 7 (30-23)

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3 years ago
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