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3 years ago

Find the value of cos x° + sin yº

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

4 0

Answer:

1.84

Step-by-step explanation:

The given arc is a part of a unit circle centered at origin.

The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.

So, for angle equal to $x$ °, the x coordinate represents $cos (x)$ °.

So, $cos x$ ° = 0.86

Similarly, the y-coordinate of angle y represent $\sin y$ °.

So, $\sin y$ ° = 0.98

Therefore, the value of $cos (x)$ ° + $\sin y$ ° = 0.86 + 0.98 = 1.84.

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Recall the Akaike information Criterion (AIC) as well as the related Bayesian Information Criterion (BIC) from our study of Vari

irga5000 [103]

Step-by-step explanation:

To check out how efficient or accurate a model is, we use the akaike information criterion or the Bayesian. If the AIC or BIC are lower, then this model would be better. They are also used to control for model complexity

Akaike information criterion = 2k-2ln where k is the number of parameter. A higher k gives a higher AIC.

In the real world complex models are discouraged and avoided since

1. They cause data to be over fitted and can capture noise and information from this data.

2. They are complex and therefore difficult to interpret

3. They consume a lot of time and computing them has several inefficiencies.

Using these two as measure of performance, we can select optimal choice of independent variable.

With forward/backward regression, we are able to put new variables in the model or remove from it. The best is the one with lowest AIC.

5 0

3 years ago

X^2+1/2x+____=2 + ____

natali 33 [55]

Answer: $x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}$

Step-by-step explanation:

Given the following Quadratic equation:

$x^2+\frac{1}{2}x=2 +$

You can change its formed by Completing the square.

In order to do Complete the square, you can follow these steps:

1. You can identify that:

$b=\frac{1}{2}$

2. Then, you can find $(\frac{b}{2})^2$ . This is:

$(\frac{\frac{1}{2}}{2})^2=(\frac{1}{4})^2=\frac{1}{16}$

3. Now you must add $\frac{1}{16}$ to both sides of the Quadratic equation in order to keep the balance. Then:

$x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}$

4. Finally, simplifying by actoring and adding the like terms, you get:

$(x+\frac{1}{4})^2=\frac{9}{4}$

3 0

3 years ago

An amortized loan of RM60,000 has annual payments for fifteen years, the first occurring exactly one year after the loan is made

Nimfa-mama [501]

9514 1404 393

Answer:

a) RM2256.09 . . . principal paid by 8th payment

b) RM1791.10 . . . . interest paid by 12th payment

Step-by-step explanation:

First of all, we need to find the payments.

The payment amount is the amount that makes the future value of the series of payments equal to the future value of the loan at the given interest rate.

The future value of a single amount is ...

FV = P(1 +r)^n . . . . . where r is the annual rate, and n is the number of years in the future

The future value of a series of payments is ...

FV = P((1 +r)^n -1)/r . . . . . where n is the number of payments of P earning annual rate r

For payments in a series that does not end at the end of the loan, the future value is the product of that of the series and the effect of the accumulation of interest for the remaining time.

The first 4 payments will have a future value at the end of the loan period of ...

s1 = X((1 +0.05)^4 -1)/0.05×(1 +0.05)^11 = X(1.05^15 -1.05^11)/0.05

s1 = 7.3717764259X

The next 5 payments will have a future value at the end of the loan period of ...

s2 = 2X((1 +0.05)^5 -1)/0.05×(1 +0.05)^6 = 2X(1.05^11 -1.05^6)/0.05

s2 = 14.8097486997X

The last 6 payments will have a future value at the end of the loan period of ...

s3 = 4X((1 +0.05)^6 -1)/0.05 = 27.20765125X

So, the total future value of the series of payments is ...

payment value = 7.3717764259X +14.8097486997X +27.20765125X

= 49.3891763756X

The future value of the loan amount after 15 years is ...

loan value = 60,000(1 +0.05)^15 = 124,735.69

In order for these amounts to be the same, we must have ...

49.3891763756X = 124,735.69

X = 124,735.69/49.3891763756 = 2,525.57

At this point, it is convenient to use a spreadsheet to find the interest and principal portions of each of the loan payments. (We find the interest charge to be greater than the payment amount for the first 4 payments. So, the loan balance is increasing during those years.)

In the attached, we have shown the interest on the beginning balance, and the principal that changes the beginning balance to the ending balance after each payment. (That is, the interest portion of the payment is on the row above the payment number.)

The spreadsheet tells us ...

A) the principal repaid in the 8th payment is RM2,256.09

B) the interest paid in the 12th payment is RM1,791.10

_____

<em>Additional comment</em>

The spreadsheet "goal seek" function could be used to find the payment amount that makes the loan balance zero at the end of the term.

We have used rounding to sen (RM0.01) in the calculation of interest payments. The effect of that is that the "goal seek" solution is a payment value of 2525.56707 instead of the 2525.56734 that we calculated above. The value rounded to RM0.01 is the same in each case: 2525.57.

3 0

2 years ago

What is the area in square units of triangle QRS also show work

GuDViN [60]

Find the area of the larger rectangle.
5 x 4 = 20
One of the triangles is 2 x 2. Area of 2. Subtract 2 from 20.
20 - 2 = 18
Another is 2 x 5. Area of 5. Subtract 5 from 18.
18 - 5 = 13
The last is 3 x 4. Area of 6. Subtract 6 from 13.
13 - 6 = 7
The area of the triangle QRS is A, 7.
Hope this helps!

5 0

4 years ago

Read 2 more answers

The graph shows a square root function. Use what you know about domain to select all of the following functions that could be th

valkas [14]

Answer:

on ed its the first one and the second one

6 0

3 years ago

Find the value of cos x° + sin yº ​

Find the value of cos x° + sin yº