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Yuki888 [10]
3 years ago
5

Find the measure in degrees and radians of the angle representing 7/12 of a circle

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0
\bf \textit{a full circle has }360^o\textit{ and }2\pi \textit{ radians, thus }
\\\\\\
360\cdot \cfrac{7}{12}\implies \stackrel{degrees}{210^o}\qquad \qquad 2\pi \cdot \cfrac{7}{12}\implies \stackrel{radians}{\cfrac{7\pi }{6}}
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An animal shelter spends 5.50 per day to care for each bird and 8.50 per Day to care for each cat and a notice that the shelter
Deffense [45]

Answer:

19 birds

Step-by-step explanation:

First, I wrote my two equations:

5.5x +8.5y = 291.5

x + y = 41

Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!

6 0
3 years ago
Help in don’t know what to do
Volgvan

Answer:

slope 4

y intercept 0, 4

Step-by-step explanation:

7 0
3 years ago
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The base of a triangle is 3 cm and the height is 5 cm. What mathematical operation(s) described must be performed in order to fi
Firdavs [7]

Answer:

C.

Step-by-step explanation:

To find the area of a triangle, one must multiply the base by the height then divide by 2.

So, the area of this triangle would be 7.5

6 0
3 years ago
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A rectangular room is twice as long as it is wide, and its perimeter is 48 meters. Find the width of the room.
Dimas [21]

Answer:

The width of the rectangular room =x= 8

Step-by-step explanation:

Given: A rectangular room is twice as long as it is wide, and its perimeter is 48 meters.

To find: The width of the room.

Solution: Let the width of the rectangular room= x meters, then the length of the rectangular room will be = 2x.

Now, Perimeter of rectangular room=2(l+b)

⇒48=2(2x+x)

⇒24=3x

⇒x=8 meters

Then, the width of the rectangular room =x= 8 meters and the breadth of the rectangular room=2x=2(8)=16 meters.

8 0
3 years ago
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Urgent!
Varvara68 [4.7K]

Answer:

See explanation

Step-by-step explanation:

From the graph,

  • After 1 hour passed, 2 inches of show fell
  • After 5 hours passed, 10 inches of snow fell
  • And so on

This means, that points (1,2), (5,10) lie on the graph. This graph passes through the origin, so its equation is

y=kx,

where k is the slope

Find k:

2=k\cdot 1\\ \\k=2,

so the equation is y=2x and the slope is k = 2.

The slope means how many inches of snow fell in 1 hour.

In 1 hour, 2 inches of snow fell.

8 0
3 years ago
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