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zmey [24]
3 years ago
8

Find the missing side of each triangle. Help please !!

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

1)12²+9²=225

X=15km

2)12²+x²=13²

x²= 169-144

x²=25

x=5mi

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Help me please :( please
natta225 [31]
Please note that if you mult. 243 by 2/3, you get 162.
If you mult. 162 by 2/3, you get 108.
If you mult. 108 by 2/3, you get 72.

We can then safely conclude that the common ratio is 2/3.

Our last given set member was 72.  
Mult. this by 2/3 to get the 5th member:  48.
Mult. this 48 by 2/3 to get the 6th member:  32.
Mult. this 32 by 2/3 to get the 7th and last desired member:  21 1/3
7 0
3 years ago
Anton invests $24,000 into a compound interest account. The account earns 2.75% interest. After 6 years, how much money does Ant
Fofino [41]

Answer:

5333.3

Step-by-step explanation:

5 0
3 years ago
A Pythagorean triple is a triple of natural numbers satisfying the equation a^2+b^2+c^2.
Softa [21]
X, x+2 - two consecutive odd or even numbers
Add the reciprocals of these numbers.
\frac{1}{x}+\frac{1}{x+2}=\frac{x+2}{x(x+2)}+\frac{x}{x(x+2)}=\frac{x+2+x}{x^2+2x}=\frac{2x+2}{x^2+2x}


Now add the squares of the numerator and denominator, as in the example.
(2x+2)^2+(x^2+2x)^2= \\ 4x^2+8x+4+x^4+4x^3+4x^2= \\ x^4+4x^3+8x^2+8x+4

So this number has to be a perfect square.
x^4+4x^3+8x^2+8x+4= \\
x^4+2x^3+2x^2+2x^3+4x^2+4x+2x^2+4x+4= \\
x^2(x^2+2x+2)+2x(x^2+2x+2)+2(x^2+2x+2)= \\
(x^2+2x+2)(x^2+2x+2)= \\
(x^2+2x+2)^2
It is a perfect square, so this method always works.

The numbers 2x+2, \ x^2+2x, \ (x^2+2x+2)^2 are a Pythagorean triple for any x \in \mathbb{N^+}.
8 0
4 years ago
Read 2 more answers
Helppppp, if you could show your work too that would be so amazing!!
astra-53 [7]

9514 1404 393

Answer:

  x = 6

  PM = 50

  MQ = 50

  PQ = 100

Step-by-step explanation:

The two halves of the segment are the same length:

  PM = MQ

  7x +8 = 5x +20

  2x = 12 . . . . . . . . . subtract 5x+8

  x = 6 . . . . . . . . . . . divide by 2

  PM = 7(6)+8 = 42+8

  PM = 50

  MQ = 5(6) +20 = 30+20

  MQ = 50

  PQ = PM +MQ = 50 +50

  PQ = 100

8 0
3 years ago
A cell phone company offers text message plans where the number of texts allowed varies directly with the amount of money paid.
STALIN [3.7K]
Do 400/8 = 50 then 50x10= 500. 500 is your answer.
7 0
3 years ago
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