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GarryVolchara [31]
3 years ago
13

Using a trigonometric ratio to find an angle measure of a right triangle‼️ round to the nearest 10‼️

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

To find the angle x, you are given the triangle side lengths that are opposite and adjacent to the angle. The opposite side is 49 units long. The adjacent side is 24 units long. The trigonometric function that corresponds to the opposite and adjacent legs is tangent.

to find x: tanx=\frac{49}{24}

to find an angle using a trigonometric function we must use the inverse function.

arctan(\frac{49}{24} )=63.90457584

The angle x, to the nearest tenth of a degree is 63.9 degrees.

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Write an equation for the nth term of<br> the arithmetic sequence: <br> 15,28,41 ....
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Answer:

The equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: a_n=a_1+(n-1)d

Where a_n is the nth term, a_1 is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13

So, the common difference d is 13

Now, equation for nth term will be:

a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2

So, the equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

where n=1,2,3..

4 0
3 years ago
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Step-by-step explanation:

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There is a pair of parallel sides in the following shape.<br><br> What is the area of the shape?
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Answer:

The given shape is Trapezium

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=1/2×7×(11+3

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Your answer is 49

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Unit 22. Practice test
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D

Step-by-step explanation:

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