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Xelga [282]
2 years ago
9

If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.

Mathematics
1 answer:
LenaWriter [7]2 years ago
3 0

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin^-1(1/5)

x≈ 11.536959

2x≈ 23.073918

Now, we just cosine this value.

cos2x≈ 0.92

I hope that this helps! Have a wonderful day!

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The balance, B, in dollars, after T years of an investment that earns interest compounded annually is given by the function B(t)
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Answer: I’m pretty sure it’s 4.50%

Step-by-step explanation:

Well when you divide the number (1.045) by 100 you get 4.5 and so 4.5 of 1500 would give you the balance.

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2 years ago
Solve for x, give exact answers: 6x^2 - 7x - 3 = 0
Novosadov [1.4K]

Answer:

Step-by-step explanation:

6x∧2-7x-3=0

the coefficient of x² multiplied by -3 = -18

we need to look for 2 numbers that when we add it to together it will equate to -7x

+2 and -9 is the answer

6x∧2+2x-9x-3=0

2x(3x+1)-3(3x+1)=0

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equate each brackets to 0

2x-3=0   3x+1=0

2x=3        3x=-1

x=3/2         x=-1/3

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

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based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.

the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.

The ball would not change the energy.

To learn more about kinetic energy

visit-:brainly.com/question/12669551

SPJ9

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