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Arturiano [62]
3 years ago
12

If sin 0 = 7/25, find csc 0

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
4 0

Answer:

The answer is 25/7

Step-by-step explanation:

Given sin theta = 7/25;

Cosec of any variable is the reciprocal of sin of the variable. Therefore cosec theta = 1/sin theta

Substituting the value of sim theta given in the formula for cosec theta gives;

Cosec theta = 1/(7/25)

Cosec theta = 1÷7/25

Cosec theta = 1× 25/7

Cosec theta = 25/7

kipiarov [429]3 years ago
3 0

Answer:

csc(\theta)=\frac{25}{7}

Step-by-step explanation:

We know that:

sin(\theta)=\frac{7}{25}

And we want to find:

csc(\theta)

Remember that there is a trigonometric identity that relates the sin(\theta) function with the csc(\theta) function

csc(\theta)=\frac{1}{sin(\theta)}

Then if sin(\theta)=\frac{7}{25} this means that:

csc(\theta)=\frac{1}{\frac{7}{25}}

Finally:

csc(\theta)=\frac{25}{7}

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if a runner finishes the 26.2. mille race in 4 hours and 37 mins and Wilson kipping finish in 4 minutes and 43 seconds per mile
Neporo4naja [7]

Answer

a) Wilson Kipsang is 7.046 miles per hour faster than the average runner.

Solution is presented below under Explanation.

b) Wilson Kipsang is 2.24 times faster than the average runner.

c) When the average runner is at mile 6, Kipsang will be at mile 13.45.

d) Kipsang's record time = 2 hours, 3 minutes, 34.6 seconds

Explanation

To solve this, we will calculate the speed of the average runner and then the speed of Wilson Kipsang

Speed = (Distance/Time)

For the average runner

Distance = 26.2 miles

Time = 4 hours 37 mins = 4 hours + (37/60) = 4.617 hours

Speed = (Distance/Time)

Speed = (26.2/4.617)

Speed = 5.675 miles per hour

For Wilson Kipsang

Distance = 1 mile

Time = 4 minutes 43 seconds = (4/60) + (43/3600) = 0.0667 + 0.01194 = 0.0786 hour

Speed = (Distance/Time)

Speed = (1/0.0786) = 12.721 miles per hour

So, now, we are asked to find how much faster than the average runner is Wilson Kipsang

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

Wilson Kipsang is faster than the average runner by

(12.721 - 5.676) = 7.046 miles per hour

b) We are asked to find how many times faster than the average runner Wilson Kipsang is.

Let the number of times he is faster than the average runner be x

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

(5.675) (x) = (12.721)

Divide both sides by 5.675

x = (12.721/5.675)

x = 2.24 times

c) If the average runner is at mile 6, where would Kipsang be?

To do this, we will find the time it takes the average runner to be at mile 6, then use that time to find where Kipsang would be.

Speed = (Distance/Time)

By cross multiplying, we see that

Time = (Distance/Speed)

For the average runner

Distance = 6 miles

Speed = 5.675 miles per hour

Time = (Distance/Speed)

Time = (6/5.675) = 1.057 hours

For Wilson Kipsang,

Speed = (Distance/Time)

By cross multiplying

Distance = (Speed) (Time)

Speed = 12.721 miles per hour

Time = 1.057 hours

Distance = (Speed) (Time)

Distance = (12.721) (1.057)

Distance = 13.45 miles

d) We were told that for Kipsang

1 mile = 4 minutes 43 seconds

26.2 miles = 26.2 (4 minutes 43 seconds)

26.2 miles = 26.2 (283 seconds) = 7414.6 seconds

We can then convert this further

7414.6 seconds = 2 hours, 3 minutes, 34.6 seconds

Hope this Helps!!!

4 0
1 year ago
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
AysviL [449]

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

8 0
3 years ago
How do I solve xy=6 ? please help!!
Paladinen [302]
It is the graph of y = 6/x. You can use a graphing calculator....download wabbitemu from the google play store
8 0
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Which sequence is modeled by the graph below? coordinate plane showing the points 1, 2; 2, 2; 3, 2; 4, 2
prisoha [69]

We will start with plotting the x coordinates and y coordinates on the graph

The points 1, 2; 2, 2; 3, 2; 4, 2  have been plotted on the graph which has been attached as an image to the solution.

We can see that the value of y is staying constant (2) for all values of x.

Hence, the points represent the equation y = 2.

6 0
3 years ago
Caroline can sketch 5 cartoon strips in two hours. How long will it take her to sketch 20 strips
liraira [26]

Answer:

8 hours

Step-by-step explanation:

20÷5 = 4

4×2 = 8

Hope this Helps!

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6 0
3 years ago
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