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2 years ago

Cos x= 3/4, s in quadrant 1

Mathematics

1 answer:

just olya [345]2 years ago

7 0

Answer: x = 41.4°

Step-by-step explanation:

We want to solve:

Cos(x) = 3/4

Such that this is on quadrant 1.

(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)

To solve this we need to remember the inverse functions.

If we have two functions f(x) and g(x), these functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then the inverse of the cosine function (this function is "arcos(x)") is such that:

Arcos( cos(x) ) = x

Then in our equation:

Cos(x) = 3/4

We can apply the inverse function to both sides to get:

Arcos(Cos(x)) = Arcos(3/4)

x = Arcos(3/4)

(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)

x = Arcos(3/4) = 41.4°

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3 years ago

Find the values of x and y so that ABCD will be a parallelogram.

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Given:

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To find:

The values of x and y.

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2 years ago

Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of

Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

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r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

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2 years ago

(60)x = 1, what are the possible values of x? Explain your answer.

Gnesinka [82]

Answer:

$\frac{1}{60}$

Step-by-step explanation:

Problem:

The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

60x = 1

To solve this, we take the multiplicative inverse of 60;

the multiplicative inverse of 60 = $\frac{1}{60}$

Use this inverse to multiply both sides of the expression;

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x = $\frac{1}{60}$

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2 years ago