The rational number lies between −67/7 and−78/8

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

9514 1404 393

Answer:

-135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

-67/7 = -9 4/7 = -9.571428... (repeating)

-78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

-67/7 = -536/56

-78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

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Answer:

m ∠ W is 58.2°

Step-by-step explanation:

Given:

XY = 15

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To Find:

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Solution:

In right angle triangle Δ XZY, by Sine identity we have

$\sin Z= \frac{\textrm{side opposite to angle Z}}{Hypotenuse} \\\sin 25= \frac{XY}{XZ}\\0.4226=\frac{15}{XZ}\\\therefore XZ=\frac{15}{0.4226} \\XZ=35.49$

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Now in right angle triangle Δ WZX, by tangent identity we have

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