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DIA [1.3K]
3 years ago
14

What is the reference angle for the angle with measure -pi/4

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

The reference angle for the angle with measure -pi/4 is the angle pi/4

Step-by-step explanation:

The angle -pi/4 is in clockwise and the angle pi/4 is in counterclockwise

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Olivia earns $8.50 per hour for babysitting her brother. She also earns a weekly bonus of $12 if she helps with
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At a school picnic, your teacher asks you to mark a field every 10 yards so students can play football. The teacher accidentally
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Approximately 9 meters are in 10 yards, (as there is approximately 1 meter in a yard, .9144 to be exact.) 
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Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t
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Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = 3x

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

x+3x=2000\\\\4x=2000

Dividing both side by 4 we get;

\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books

Number of fiction books = 500

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Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0
3 years ago
Current law requires that wheelchair ramps have a height to length ratio of 1:12. An old ramp has a height to length ratio of 2:
crimeas [40]

Answer:

The new ramp must be 54 inches long than the old ramp to meet the requirement of the new law

Step-by-step explanation:

Old height to length ratio is:

h : l =  2 : 15.

Height of old ramp h = 12

Length of old ramp can be find out by putting h  = 12 in the above ratio

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Length of old ramp = 90

Height to length ratio by current law:

h : l = 1 : 12

Height will be the same i.e. h = 12

\frac{h}{l}  = \frac{1}{12}\\\\h = 12\\\\\frac{12}{l} = \frac{1}{12}\\\\l = 144

Length of new ramp = 144

How much longer the new ramp should be to meet the new ratio law:

New length - Old length = 144 - 90 = 54 inches

8 0
3 years ago
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