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Ierofanga [76]
3 years ago
8

Complete the patterns of the equivalent ratios by filling in the gaps.

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
21:3
9:3
3:1

there all a 3:1 ratio
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What is the 5th term of the geometric sequence 3/20,3/2,15...?
puteri [66]
Common ratio, r = (3/2)/(3/20) = 10.

3/20,   3/2,  15, 

4th term = 15*10 = 150

5th term = 150*10 = 1500

5th term = 1500
7 0
3 years ago
Square roots in trigonometry. I don’t understand please help?
cupoosta [38]

By definitions of the (co)tangent and cosecant function,

3\tan^2x-2=\csc^2x-\cot^2x\iff3\dfrac{\sin^2x}{\cos^2x}-2=\dfrac1{\sin^2x}-\dfrac{\cos^2x}{\sin^2x}

Turn everything into fractions with common denominators:

\dfrac{3\sin^2x-2\cos^2x}{\cos^2x}=\dfrac{1-\cos^2x}{\sin^2x}

Recall that \cos^2x+\sin^2x=1, so we can simplify both sides a bit.

On the left:

\dfrac{3\sin^2x+3\cos^2x-5\cos^2x}{\cos^2x}=\dfrac{3-5\cos^2x}{\cos^2x}

On the right:

\dfrac{1-\cos^2x}{\sin^2x}=\dfrac{\sin^2x}{\sin^2x}=1

(as long as \sin x\neq 0, which happens in the interval 0\le x\le\pi when x=0 or x=\pi)

So we have

\dfrac{3-5\cos^2x}{\cos^2x}=1\implies3-5\cos^2x=\cos^2x

\implies3=6\cos^2x

\implies\cos^2x=\dfrac12

\implies\cos x=\pm\dfrac1{\sqrt2}

\implies x=\dfrac\pi4\text{ or }x=\dfrac{3\pi}4

4 0
3 years ago
Answer the question. Multiple choice.
Zolol [24]

Answer:

  C.  The graph of g is a translation 4 units up from the graph of h.

Step-by-step explanation:

Compare values of g(x) and h(x). The graph below may make that easier.

3 0
3 years ago
Read 2 more answers
* 20 points *
Ira Lisetskai [31]
Solution;
22 + 123 + <TSK = 180
145 + <TSK = 180
<TSK = 180 - 145
Therefore,
<TSK = 35°
4 0
3 years ago
How do I find the reciprocal of 15/8??
Bas_tet [7]

Flip 15/8 to 8/15. Hope this helps

7 0
3 years ago
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