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shutvik [7]
3 years ago
5

Convert 55°44'33" to decimal degree form. Round your answer to four decimal places.​

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

55,7425

Step-by-step explanation:

Since there are 60 minutes in one degree and 3600 seconds in one degree, the formula is:

Decimal degrees = Degrees + (Minutes/60) + (Seconds/3600)

Here Degrees stay the same 55;

44' = 44/60 ≈ 0,733...

33" = 33/3600  ≈ 0,009166...

I've divided and added those three numbers by calculator in one operation and it shows exactly 55,7425. If you add them separately, you'll need to round the result.

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a scarf is originally priced at $30.00. it is then discounted by 25%. several days later, it is discounted 10% off the new price
jeka94
No. 
a. take 35% off 30 =19.5
b. first take 25% off 30 = 22.5, then take 10% off 22.5 = 20.25
8 0
3 years ago
What is the slope of the line that passes through the points (5, 2) and (3,-1)?
oksano4ka [1.4K]
Slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5
3 0
3 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
Degger [83]

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

a_n = a_{n-1}+d

Given

5,-1,-7,-13,-19

Here

a_1 = 5\\a_2 = -1\\a_3 = -7

First of all we have to find the common difference of the sequence.

So,

d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6

Putting the value of d in the general recursive formula

a_n = a_{n-1}-6

Hence,

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
Hugo recurved $100 for his birthday.He then saves 20$ per week until he had a total of $460 to buy a printer. Use a. Equation to
SashulF [63]

Answer:

18 weeks

Step-by-step explanation:

In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.

In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w

Mathematically, we can use the equation below to model this scenario;

100 + 20(w) = 460

20w = 460 - 100

20w = 360

w = 360/20

w = 18 weeks

3 0
3 years ago
Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se
Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, \frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}

We get, eliminating the cosecant function,

\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. \frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}

i.e. \frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}

Since, we know that, \sin^{2}x+\cos^{2}x=1

Thus,

\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0
3 years ago
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