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MariettaO [177]
2 years ago
12

Find the tangent of ∠I.

Mathematics
1 answer:
snow_tiger [21]2 years ago
8 0

The simplified, rationalized form is tan I = √70/5

<h3>SOH CAH TOA identity</h3>

From the given diagram, we are given the following parameters

  • Adjacent to m<I = IG
  • Hypotenuse = √95

According to the SOH CAH TOA identity;

tan m<I = opp/adj

tanm<I = Determine the opposite side using the pythagoras theorem:

GH² = (√95)² - 5²

GH² = 95 - 25

GH² = 70

GH = √70

Determine the value of tanm<I

tan I = √70/5

Hence the simplified, rationalized form is tan I = √70/5

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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Find the number that makes the ratio equivalent to 11:1.<br> ?:4
blagie [28]

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

8 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!!
rewona [7]

By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.

<h3>How to find a missing variable associated to an angle by trigonometry</h3>

In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.

To learn more on triangles: brainly.com/question/25813512

#SPJ1

4 0
2 years ago
Alice tried to solve the equation. What was her mistake?
uysha [10]
She didn’t multiply -1/4 by 12 in order to get -1/4x + 3 = -1

which would change her answer, because then you have to subtract 3 from -1 and get -4. Then divide -1/4 & get 16. It changed to positive because of the division & multiplication rule with two negative numbers.


Hope this helps.
8 0
3 years ago
Read 2 more answers
There are 12 female students and 18 male students in a class. Which of the following expresses the ratio of female students to m
svet-max [94.6K]

Answer: 2:3

Step-by-step explanation:

12:18 is like a fraction so you can divide it down on each side to make it simple.

12 and 18 can both be dived by 6 at most


so it would end up being


2:3

4 0
3 years ago
A car travels at a speed of 85 miles per hour.how far will it travel in 15minutes?
Eduardwww [97]

Answer:

21.25

Step-by-step explanation:

5 0
3 years ago
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