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makvit [3.9K]
3 years ago
14

Find the first five terms of each sequence an = -2(n-7)

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

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How to find the length of a triangle with only one side non right triangle?
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The trigonometry of non-right triangles

So far, we've only dealt with right triangles, but trigonometry can be easily applied to non-right triangles because any non-right triangle can be divided by an altitude* into two right triangles.

Roll over the triangle to see what that means →



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Customary labeling of non-right triangles

This labeling scheme is comßmonly used for non-right triangles. Capital letters are anglesand the corresponding lower-case letters go with the side opposite the angle: side a (with length of a units) is across from angle A (with a measure of A degrees or radians), and so on.



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Consider the triangle below. if we find the sines of angle A and angle C using their corresponding right triangles, we notice that they both contain the altitude, x.



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We usually divide both sides by ac to get the easy-to-remember expression of the law of sines:



We could do the same derivation with the other two altitudes, drawn from angles A and C to come up with similar relations for the other angle pairs. We call these together the law of sines. It's in the green box below.

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two sides and an angle not between them ortwo angles and a side not between them.

Law of Sines



Examples: Law of sines

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Example 1

Find all of the missing measurements of this triangle:




The missing angle is easy, it's just



Now set up one of the law of sines proportions and solve for the missing piece, in this case the length of the lower side:



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Example 2

Find all of the missing measurements of this triangle:




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Now it's easy to calculate the third angle:



Then apply the law of sines again for the missing side. We have two choices, we can solve



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Consider another non-right triangle, labeled as shown with side lengths x and y. We can derive a useful law containing only the cosine function.



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Law of Cosines

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if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake
Contact [7]

Answer:

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Step-by-step explanation:

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