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Oliga [24]
3 years ago
15

Solve for y.

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

y = \frac{2}{9}

Step-by-step explanation:

multiply \frac{2}{3} by \frac{3}{3} to get \frac{6}{9}:

\frac{6}{9} + y - \frac{1}{9} = \frac{7}{9}

simplify:

y + \frac{5}{9} = \frac{7}{9}

subract \frac{5}{9} from both sides:

y = \frac{2}{9}

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Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
Randy won 36 out of 54 games of tic tac toe. what percent of the games did he win
Archy [21]
36/54 = x/100

54x = 100 * 36
54x = 3600
x = 3600 ÷ 54
x = 66.666666.... so 66.67

First put it into a proportion and then cross multiply. After that you divide both sides by 54 to get x alone which gives you 66.66666 which is rounded to 66.67

Answer: 66.67%
7 0
3 years ago
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If the area of a park is exactly between 2.4 and 2.5 acres what is the area of the park?
Alex73 [517]
4.45 if you were trying to accurately show the decimal of acers of area halfway across the park.
7 0
3 years ago
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27 + 5 x 6 A Little Problem With this so some help please?
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Answer:

57

Step-by-step explanation:

1) According to PEMDAS, <em>multiply </em>first: 27+ 5x6= 27+30

2) Then <em>add</em>: 27+30=57

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4 years ago
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kozerog [31]

Answer:

-3072

Step-by-step explanation:

ar^(n-1)

a is the first term.

r is the common ratio.

3(-4)^(6-1)

3(-4)^5

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= -3072

The 6th term of the geometric sequence is -3072.

6 0
3 years ago
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