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grandymaker [24]
2 years ago
11

!!Please Help!! Find the value of z to the nearest tenth.

Mathematics
1 answer:
serg [7]2 years ago
7 0

Answer:

x = 14\sqrt{2}

y = 14

z= 14\sqrt{3}

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14\sqrt{2}

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14\sqrt{3} using either Pythagorean Theorem or special right triangle properties for 30-60-90.

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Answer:

Step-by-step explanation:

Given that a machine produces defective parts with three different probabilities depending on its state of repair.

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Prob                       0.8                            0.1                                   0.1              1

Defective               0.02                          0.1                                   0.3

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a) 0.016

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Prob for not defective = 0.8*0.98+0.1*0.9+0.1*0.7\\=0.784+0.09+0.07\\=0.944

From machine that needs maintenance = 0.07

So reqd prob = \frac{0.07}{0.944} \\=0.0741

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3 years ago
When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equatio
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Answer:

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Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

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This can be solved for k:

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For the given values, the value of k is ...

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Then the relation between the variables can be written ...

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(The rule is add 3)

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