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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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2 years ago
The sum of a positive number and 22 is 455 times the reciprocal of the number find the number
dalvyx [7]

Answer:

13

Step-by-step explanation:

Let the number be x.

ATQ x+22=455/x. x^2+22x=455. x=-35 or 13. Since x is positive, x=13

3 0
3 years ago
A packing box measures 36 centimeters by 14 centimeters by 20 centimeters. What is the volume of the box?
natima [27]

Answer:

1000

Step-by-step explanation:

first you times 36 by 14 witch equals 54. Then do 54 x 20 = 1000 the 4 is gone because of the zero. So your answer should be 1000

6 0
3 years ago
. Could someone please explain this to me in detail. I am very confused. Thank you so much!. . A candle is 17 inches tall after
andrew-mc [135]

The generic equation of the line is:

H-H0 = m (T-T0)

Where,

m: slope of the line

(T0, H0): ordered pair belonging to the line.

The slope of the line is:

m =\frac{H2-H1}{T2-T1}

Substituting values we have:

m =\frac{15-17}{5-3}

Rewriting:

m =\frac{-2}{2}

m = -1

Then, choosing an ordered pair we have:

(T0, H0) :( 5, 15)

Substituting values we have:

H-15=-(T-5)

Rewriting the equation:

H-15=-T+5

H=-T+5+15

H=-T+20

Then, for 8 hours we have:

H=-8+20

H=12

Answer:

a linear equation to model the relationship between height H of the candle, and T time is:

H=-T+20

the candle will be 12 inches after burning 8 hours

7 0
2 years ago
Read 2 more answers
Kayla wants to pick the same number of books in 6 boxes.
lina2011 [118]
I think the answer could be A but I'm not so sure because at first Kayla has 6 boxes with x amount of books in the boxes with four left over so the equation would be 6x+4= number of books. So if she then replaces the now five boxes with x amount of books in them and adds four books to each of the five boxes you get 5x+4=number of books so it all equals out to the same number of books on both sides of the equal sign for 6x+4=5x+4
5 0
3 years ago
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