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3 years ago

10. Find a third number so that the three numbers form a right triangle: i) 9, 41

Mathematics

2 answers:

vazorg [7]3 years ago

5 0

Answer:

40
41.9762

Step-by-step explanation:

There are two possibilities here:

1) The two numbers are the legs of the right triangle. Then the hypotenuse is ...

√(9^2 +41^2) = √1762 ≈ 41.9762

2) The length 41 is the hypotenuse. Then the other leg is ...

√(41^2 -9^2) = √1600 = 40

_____

Comment on Pythagorean triples

I find it somewhat interesting that for any odd number n, one Pythagorean triple involving that number is ...

(n, (n^2 -1)/2, (n^2 +1)/2)

For n=9, the triple is (9, 80/2, 82/2) = (9, 40, 41).

Along these lines, ones commonly seen in math problems are ...

(3, 4, 5), (5, 12, 13), (7, 24, 25), (9, 40, 41), (11, 60, 61)

Travka [436]3 years ago

3 0

Answer:

The third number is 40.

Step-by-step explanation:

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What is 2,163 to the nearest thousand?

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PLEASE HELP!!! PLEASE EXPLAIN AND SHOW WORK!!!! THANK YOU !!!!

liraira [26]

Answer:

t = 2.5 s

Step-by-step explanation:

h(t)=-16t^2 +80t+96

height will be greatest when the derivative (velocity) is zero

h'(t) = v(t) = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32 = 2.5 s

notice that 0 = -32t + 80 is just a version of the kinematic equation

v = u + at

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3 years ago

5.) A.) 1/ csc 36° B.) csc 36° C.) 1/ tan 36° D.) cos 36° E.) tan 36°

erastovalidia [21]

Answer:

B.) $csc \ 36\°$

Step-by-step explanation:

Given:

$\frac{1}{sin\ 36\°}$

We need to rewrite the given expression as single trigonometric function.

Now According to reciprocal Identities given:

$sin\theta =\frac{1}{csc\theta}$

Also Given;

$csc\theta = \frac{1}{sin\theta}$

Sow when $sin\ 36\°= \frac{1}{csc\ 36\°}$

and when $\frac{1}{sin\ 36\°}= csc\ 36\°$

Hence the Single trigonometric function is $\frac{1}{sin36\°}= csc\ 36\°$ .

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3 years ago

-25(10-x)=5x+50 I don’t understand how to solve this math problem

Tanya [424]

I'm sorry to hear your stuck! Let''s learn how to do this.

Simplify both sides of the equation!

−25(10−x)=5x+50

(−25)(10)+(−25)(−x)=5x+50 - Distribute

−250+25x=5x+50

25x−250=5x+50

Now subtract 5x to each side.

25x−250−5x=5x+50−5x

20x−250=50

Add 250 to both sides. (We need to get x by itself)

20x−250+250=50+250

20x=300

Divide both sides by 20!

You get x = 15.

I'd take notes and look through on how this problem was solved for future references.

Have a good one!

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4 years ago