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I am Lyosha [343]

3 years ago

11

Evaluate. (3/4)2 · (1/6)2 a) 1/64 b)1/36 c)1/16 d)3/4

1 answer:

Valentin [98]3 years ago

3 0

Answer:

<h3>A.</h3>

Step-by-step explanation:

(3/4)^2 ⋅ (1/6)^2

Simplify the expression.

--->Exact Form: 1/64

---> Decimal Form: 0.015625

(I also converted my work into a google doc, so I'll attach that since it's quite difficult to type out steps on brainly. Especially with fractions and trying to make the steps look clean and easy to read. But I hope this helps and thanks for telling me about the problem when I asked.)

<h3><--Shi, your friendly math problem solver.--></h3>

Don't hesitate to message me if you have any other math questions. I'd be happy to help. :D

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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?

kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

In ΔWXY, ∠Y=90°

XW = 53

YX = 28

WY = 45

Step:1

Ref the attachment,

Given triangle XWY is right angled triangle.

Trigonometric ratio's,

$Cos$ ∅ $= \frac{Adj}{Hyp}$

For the given attachment, the trigonometric ratio becomes,

$Cos$ ∅ $= \frac{XY}{XW}$ .....................................(1)

Let, ∠X = ∅

Where, XY = 28

XW = 53

Equation (1) becomes,

$Cos$ ∅ $= \frac{28}{53}$

$Cos$ ∅ = 0.5283

∅ = $cos^{-1}$ (0.5283)

∅ = 58.109°

Result:

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

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And

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