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Law Incorporation [45]
2 years ago
12

Find the 30th term of the following sequence. -6, -4, -2, 0, ...

Mathematics
2 answers:
Temka [501]2 years ago
8 0
Hello,

a_{1}=-6
a_{2}=-6+2
a_{n}=-6+2*(n-1)

a_{30}=-6+2*(30-1)=52



nikklg [1K]2 years ago
8 0
54 would be the answer.
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Use the sum and difference identities to find the exact values of the sine, cosine, and tangent of the angle. . 165 = 135 + 30
Serhud [2]
So lets get to the problem 

<span>165°= 135° +30° </span>

<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>

<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>

<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>


<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>

<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
4 0
3 years ago
. Samantha is three times as old as Jason. The sum<br> of their ages is 56 years. How old is each?
8_murik_8 [283]

Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

4 0
2 years ago
Solve x-15=8 Help! Thank you!
Bezzdna [24]

x-15 = 8

add 15 to each side

x = 23

3 0
3 years ago
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10110, written in base 10 is
Fantom [35]
A fake link ........................
3 0
2 years ago
Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)
Helen [10]

Answer:

9,202.77

Step-by-step explanation:

This is off of g/o/o/g//l/e/// btw hope this helped

4 0
3 years ago
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