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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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4 0
3 years ago
Read 2 more answers
Please help me with the problem
katrin2010 [14]

Answer:

See the attachment.

Step-by-step explanation:

The approach is to take advantage of the definition of a perpendicular bisector to show the base lengths and right angles are congruent, then use SAS with the second side being CD (congruent to itself). It's mainly a matter of deciding what the various reasons are called.

It seems the goal is to show that AC = BC as marked.

3 0
3 years ago
Find the least common denominator for 1/5 5/9 and 2/3
Brilliant_brown [7]

Answer:

45

Step-by-step explanation:

The lowest same number that you can get from multiplying the denominator!

Hope this help!

5 0
3 years ago
Read 2 more answers
The price of an mp3 player is reduced to three-fourths of its original price. The new price is $75. Find the original price of t
In-s [12.5K]

Answer:

The original price of the mp3 player would be $150

Step-by-step explanation:


7 0
4 years ago
Which of the following logarithmic expressions are equivalent to ln sqrt xy +ln (x/e)? select all that apply
spayn [35]

Answer: Option d.

Step-by-step explanation:

It is important to remember the following proporties in order to solve the exercise:

ln(a)+ln(b)=ln(ab)\\\\ln(a)-ln(b)=ln(\frac{a}{b})\\\\ln(a)^m=mln(a)\\\\ln(e)=1

In this case you have this expression given in the exercise:

ln(\sqrt{xy})+ln(\frac{x}{e})

Since equivalent expression have always the same value, you can simplify the expression given in order to find an equivalent expression.

Therefore, applying the corresponding properties, you get the following equivalent expression (Remember that \sqrt[n]{a^n}=a):

ln(\sqrt{xy})+ln(\frac{x}{e})=ln(\sqrt{xy})+ln(x)-ln(e)=ln(x\sqrt{xy})-1

3 0
3 years ago
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