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k0ka [10]
1 year ago
7

Determine if you would use the Pythagorean Theorem, Trigonometry or Inverse Trigonometry to solve the following example.31°000X1

9TrigonometryPythagorean TheoremInverse Trigonometry.

Mathematics
1 answer:
nignag [31]1 year ago
8 0

Given:

Given that a right triangle with one angle and one side.

Required:

To determine which of the option we need to use.

Explanation:

The given triangle is a right triangle and it having only one side and one angle.

Pythagorean Theorem : If in a triangle the square on one of the sides equals the sum of the squares on the remaining two sides of the triangle, then the angle contained by the remaining two sides of the triangle is right.

Therefore, here Pythagorean Theorem s not used.

We have to use the trigonometry formula.

\begin{gathered} \cos\theta=\frac{adj}{adj} \\  \\ \cos31=\frac{19}{x} \end{gathered}

Final Answer:

The option Trigonometry is correct.

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The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?
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3 years ago
find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc
Leokris [45]

Answer:

<u>There are 17 terms in the sequence</u>

Step-by-step explanation:

<u>Arithmetic Sequence </u>

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

a_n=a_1+(n-1)r

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

\displaystyle n=1+\frac{a_n-a_1}{r}

We need to express r as an improper or proper fraction:

\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}

Substituting:

\displaystyle n=1+\frac{-23-13}{-\frac{9}{4}}

\displaystyle n=1+\frac{-36}{-\frac{9}{4}}

\displaystyle n=1+36*\frac{4}{9}=17

n=17

There are 17 terms in the sequence

5 0
3 years ago
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