Answer:
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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In 8 weeks the reef grows 13 m, or 104 m.
Converting 104 m into mm:
104 m 1000 mm
--------- * ------------- = 104,000 mm
1 1 m
C because the x-axis and the y-axis are switched, basically.
Answer:
D. 328.62
Step-by-step explanation:
328.618 round to the nearest hundredth
Rounding to the nearest hundredth means 2 numbers after the decimal point
Numbers that rounds to 1 are 5, 6, 7, 8, 9
Number that rounds to 0 are 0, 1, 2, 3, 4
When rounding up, to the nearest hundredth, you will consider the next number after the two figures after the decimal point
Here, the next number after the two figures after the decimal point is 8
8 is a number that rounds to 1
Therefore, add 1 to 1 to have
328.62
