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Bad White [126]
3 years ago
10

Find cot theta if csc theta = sqrt17/4 and tan theta >0.​

Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

tan \theta = 4

Step-by-step explanation:

We know that

cosec \theta = \frac{hypotenuse }{opposite }

Given :

cosec \theta =\frac{\sqrt{17}}{4}\\

So 4 is the opposite side of theta.

tan \theta = \frac{opposite}{adjacent}

We use the Pythagorean theorem to find for the adjacent side.

a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1

Therefore, \ tan \theta = \frac{4}{1} = 4

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Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car l
neonofarm [45]

The amount of extra interest that will be paid is $24300

Since Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%, the interest that she will pay will be:

= ($45000 × 6 × 15) / 100

= $40500

On the other hand, if she hasn't applied for bankruptcy, the amount that she will pay will be:

= ($45000 × 6 × 6) / 100

= $16200

Therefore, the difference between the interest will be:

= $40500 - $16200

= $24300

The correct option is $24300. The given options are incorrect.

Read related link on:

brainly.com/question/25052422

8 0
2 years ago
Read 2 more answers
Please help pleasehelp
grandymaker [24]

Answer:

≥ and ≤ will both be solid dots, as it includes the number

x ≥ -7 is everything greater than -7; x ≤ 4 is everything less than 4.

to include both, you'd click -7, drag right, and stop at 4

7 0
2 years ago
A leading bank is coming up with an investment that pays 8 percent interest compounded semiannually. What is the investment's ef
uranmaximum [27]
The effective rate is calculated in the following way:
r =  {(1 +  \frac{i}{n} )}^{n} - 1
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
r = {(1 +  \frac{8\%}{2}) }^{2}  - 1 \\ r =  {(1 +  \frac{1}{25}) }^{2}  - 1 \\ r =  \frac{676}{625}  - 1 \\ r = 0.0816 \: or \: 8.16\%
5 0
3 years ago
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

  • We know that the average rate of change is basically a measure of the slope of the  secant line  in the closed interval [a, b].

here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

6 0
2 years ago
WILL MARK BRAINLIEST!!!
Elan Coil [88]

Answer:

b

Step-by-step explanation:

count two up, and 5 to the right

8 0
3 years ago
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