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Darina [25.2K]
3 years ago
9

In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the near

est tenth of a degree

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

<em>x=33.9°</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.

There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.

The current question gives us two sides in a right triangle and requires us to calculate the angle x.

The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.

We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.

The tangent of an angle is defined as:

\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\

Use the given values:

\displaystyle \tan x=\frac{47}{70}=0.6714

Using a calculator (in degree mode), we calculate the angle:

x=\tan^{-1}(0.6714)=33.9^\circ

x=33.9°

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Maksim231197 [3]

a) Given

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3 years ago
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that
Lyrx [107]

Answer:

Probability = \frac{1}{5} or Probability = 0.2

Step-by-step explanation:

Given

Black = 25

White = 35

Red = 40

Required

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First, we need to calculate the number of red and black balls

The probability is calculated as thus:

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Convert to mathematical expressions

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]

Solve for each probaility;

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P(Red) = \frac{Red}{Total} = \frac{40}{100}

So, we have:

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]

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nirvana33 [79]
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3 0
2 years ago
Thanks for helping, I really appreciate it
den301095 [7]

Answer:

a)ΔFHA is similar to ΔZIA by hypotenuse side test.

reason:- angle H and angle I are of 90 degrees.

b) FH/ ZI = HA/ IA = FA/ ZA

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The scale factor is 3/2......( HA/IA = 12/8 = 3/2)

c) IZ = 3.3 ....( FH/ IZ = 3/2, 5/ IZ = 3/2, IZ = 10/3 = 3.33)

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