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slamgirl [31]
3 years ago
9

Find length of the hypotenuse in a right triangle with legs of 8cm and 15 cm

Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

17 cm

Step-by-step explanation:

The Pythagorean Theorem: a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse

Plug in the values of the legs

8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=\sqrt{289} \\c=17

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!

Brrunno [24]3 years ago
7 0

Answer:

Step-by-step explanation:

h^2=x^2+y^2, in this case

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17cm

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Maurinko [17]

Answer:

Pythagoras theorem states that c²=a²+b²

14²=12²+x²

14²-12²=x²

196-144=x²

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3 years ago
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A paper company needs to ship paper to a large printing business. The paper will be
Tcecarenko [31]

Answer:

10 small boxes and 12 large boxes

Step-by-step explanation:

Let x = number of large boxes

Let y = number of small boxes

We are told that;

volume of each small box = 6 cubic feet

volume of each large box = 22 cubic feet.

Total volume = 324 ft³

Thus;

6x + 22y = 324 - - - (eq 1)

We are told that 22 boxes of paper were shipped.

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Making x the subject in eq 2 gives;

x = 22 - y

Put 22 - y for x in eq 1;

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16y = 324 - 132

16y = 192

y = 192/16

y = 12

So, x = 22 - 12 = 10

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3 years ago
Factor the expression 8a + 16c
Stella [2.4K]
The answer for this question is 80
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Pls help with sum geometry
kaheart [24]

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

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