Answer:
We find 3/4-5/24 = 0.54166666666 and try 2/7 x 6/8 = 0.21428571428
this is 0.069 too much we look at this as a fraction = 0.07 which is 1/10 approx of the 6/8. we then reapply 7/9 x 2/7 x 3/3 = 0.2
So we went up by 1 and can show another
2/7 x 7/10 = 2.0
So to 1dp there is lots of fractions including 2/7 x 7/9 = 2.0
But for three fractions that multiply together we can chose 5/7 x 2/6 x 6/6 = 2.0 As 5 x 2 x 6 = 60 and 60/360-102 = 60/258 = 0.20 and divided 198 =numbers 8 and 1/3 work with = 1.98/8.3 = 2.38554
We try again 1.68/8.3 = -0.2024 = 2/8 x 8/10 = 0.2
The balance is 1.3/2 x 0.8/2 = 0.65 x 0.333 = 13/20 x 1/3
3/5 x 1/3 = 0.2
Answer:
1) a <u><</u> -8 or a <u>></u> 8
2) n = -18 or n = 18
3) z = - 1/2 or z = 1/2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Solving a system of linear equations, we conclude that the measure of side Z is 2√13
<h3>How to find the measure of side Z?</h3>
Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.
In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.
x^2 = y^2 + 4^2
z^2 = y^2 + 9^2
(4 + 9)^2 = z^2 + x^2
We want to solve that for z.
Now, the second equation can be rewritten to:
y^2 = z^2 - 9^2
Now let's replace the first equation into the third one, so we get:
(4 + 9)^2 = z^2 + (y^2 + 4^2)
Now we can replace y^2 by z^2 - 9^2
(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)
Now we can solve this:
(13)^2 = z^2 + z^2 - 9^2 + 4^2
(13)^2 + 9^2 - 4^2 = 2*z^2
104/2 = z^2
52 = z^2
√52 = z
√(4*13) = z
√4*√13 = z
2√13 = z
We conclude that the measure of side Z is 2√13
If you want to learn more about systems of equations:
brainly.com/question/13729904
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