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2 years ago

Determine the measure of ∠Y. images attached

Mathematics

2 answers:

Gwar [14]2 years ago

5 0

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

$\tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...$

We have the final answer as

Hope this helps you

raketka [301]2 years ago

5 0

Answer:

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = $\frac{opposite}{adjacent}$ = $\frac{XZ}{XY}$ = $\frac{25}{20}$ , thus

∠ Y = $tan^{-1}$ ( $\frac{25}{20}$ ) ≈ 51.34° → C

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finlep [7]

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2 years ago

A segment XD is drawn in rectangle QUAD as shown

grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=> ∠XDQ = ∠ADU - ∠ADX

= 90° - 49° = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> <em>∠UXD = </em>180° - ∠DXA (Because UA is a straight line)

=180° - 41°

= 139 °

5 0

2 years ago

Please help me compute standard deviation! Here is the problem, as written.

aleksandr82 [10.1K]

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

Here,

<em>x</em> = midpoints

$\mu=\sum x\cdot P(x)$

Consider the Excel table attached below.

The mean is:

$\mu=\sum x\cdot P(x)=32.3$

Compute the standard deviation as follows:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

$=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12$

Thus, the standard deviation for the income of super shoppers is 76.12.

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