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patriot [66]
3 years ago
15

Which of the following is equivalent to cos x?

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

ANSWER

D) sin Y

EXPLANATION

The given triangle is a right triangle.

This implies that that:

x + y = 90 \degree

Then we have

y= 90 - x

Recall that

\cos(x)  =  \sin(90 - x)

But

90 - x = y

When we do the substitution, we get,

\cos(x)  =  \sin(y)

Therefore cos(x) is a equivalent to sin(y).

The correct answer is D.

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Please help! Do you know the answer<br>​
azamat

Answer:

x = 9

Step-by-step explanation:

y = 2/3x - 6

If the y point is 0, then plug that number into the equation and solve for x.

0 = 2/3x - 6

Add 6 to both sides of the equation.

6 + 0 = 2/3x - 6 + 6  or  6 = 2/3x

Multiply both sides by 3.

3 x 6 = 2/3x x 3   or 18 = 2x

Divide both sides by 2

18/2 = 2x / 2   or 9 = x

5 0
3 years ago
A taxi company charges $1.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part).
meriva

Step-by-step explanation:

solving functions separately.

1st:  from given data taxi charges $1.00 for the first mile.so it is first rule of function.

y_{1} =1 , 0

2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will  be

y_{2} =1+0.2.10(x-1)

simplifying

y_{2} =1+2(x-1)

y_{2} =x+2x-2

y_{2} =x ,  1

piece wise function is f(x)={2 ,  0<x<1

                                              {x ,  1<x<2

the graph of the function is given below

7 0
3 years ago
You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and
White raven [17]

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

4 0
3 years ago
Multiply 2 3/4 x 1 1/3. Write your answer in simplest form
bagirrra123 [75]

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

6 0
3 years ago
Find the value of x for which ABCD must be a parallelogram.
Inessa [10]
Hey there!

You can tell that the two angles are congruent because of the arc. So make the two angles each other.
3x-17=25-3x. Add 3x to each side. You get 6x-17=25. Add 17 to each side to get 6x=42. Divide each side by 6. You get x=7. So the value of x would be 7.

I hope this helps!
3 0
3 years ago
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