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solong [7]
3 years ago
15

Convert the following angle from degrees to radians. Express your answer in simplest

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

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the sides of a triangle, in centimetres,are x,2x-3 and 2x+5. The perimeter of the triangle is 57 cm.a)write down an equation for
soldier1979 [14.2K]

Answer:

11 cm, 19 cm, 27 cm

Step-by-step explanation:

Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.

x + (2x-3) + (2x+5) = 57

x + 2x - 3 + 2x + 5 = 57

x + 2x + 2x - 3 + 5 = 57

5x + 2 = 57

5x = 57 -2

5x = 55

x = 11

Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.

6 0
3 years ago
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Isthe number a fact of 6? Write yes or no.
dem82 [27]
3 no
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7 0
4 years ago
Solve 1/p+1/s=1 for p
jekas [21]

Answer:

Step-by-step explanation:

Multiply through by the L. C. M which is PS.

1/p*ps+1/s*ps=1*ps

P+p=ps

2p=ps

Divide both sides by 2

2p/2=ps/2

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3 0
3 years ago
In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that
Alexxandr [17]

Answer:

192 orders

Step-by-step explanation:

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

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3 years ago
During the first 3 days of the week, Mike read an average of 28 pages per day. During the next 4 days, Mike averaged 42 pages pe
Anestetic [448]

Answer:

36 pages per day on average

Step-by-step explanation:

Calculate the average.

3 * 28 (The first 3 days of the week where Mike reads 28 pages per day) = 84

4 * 42 (The next 4 days where Mike reads 42 pages per day ) = 168

168 + 84 = 252



To find the average using this total, divide it by the total amount of days of reading (seven days in this problem).

252 / 7 = 36

6 0
2 years ago
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