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svetlana [45]
3 years ago
6

What is the value of sec theta in the triangle below

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

The answer to your question is  the third choice secФ = 41/40

Step-by-step explanation:

Data

Opposite side = 9

Adjacent side = 40

hypotenuse = 41

Process

To solve this problem use trigonometric functions. The secant is the trigonometric function that relates the hypotenuse and the adjacent side.

       sec Ф = hypotenuse / adjacent side

hypotenuse = 41

adjacent side = 40

then,

      secФ = 41/40

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\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}&#10;\\\\\\&#10;3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14&#10;\\\\\\&#10;0=a-14\implies 14=a

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