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Tems11 [23]
3 years ago
9

What is the length of radius to the nearest tenth of an inch?

Mathematics
2 answers:
laila [671]3 years ago
4 0

Answer:

3.1 in

Step-by-step explanation:

In any circle the following ratios are equal

\frac{arc}{circumference} = \frac{angleatcentre}{2\pi }

\frac{4}{2r\pi } = \frac{\frac{5\pi }{12} }{2\pi }

\frac{4}{2r\pi } = \frac{5}{24} ( cross- multiply )

10πr = 96 ( divide both sides by 10π )

r = \frac{96}{10\pi } = 3.1 in ( nearest tenth )


mixas84 [53]3 years ago
3 0

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches



Step-by-step explanation:


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a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
PLEASE HELP!! Dee bought 6 dolls and 2 toy trains for $55. At the same prices, Joy bought 4 dolls and 7 toy trains for $65. What
GuDViN [60]

Answer:

The cost of 1 doll   =  $ 7.5

and The  Cost of 1 toy train =   $ 5

Step-by-step explanation:

Let the price of 1 doll  = $ x

The price of  1 toy train  = $ y

Now, according to the question:

6 x + 2 y  = $ 55

and  4 x   + 7 y = $ 65

Solving the given system of equation,

From (1), we get

x= \frac{55 - 2y}{6}

4 ({\frac{55 - 2y}{6}} )  + 7y = 65

or, solving for y , we get

110y - 4y + 21 y = 195

or, 17 y = 85

⇒ y= 85/17 = 5

This implies :  6 x + 2 (5)   =55

or, 6x = 55 - 10 = 45

or, x =  45/ 6 = 15/2

Hence, the cost of 1 doll  = x = $ 7.5

and the Cost of 1 toy train =  y = $ 5

5 0
3 years ago
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sammy [17]
The correct answer is A) Property Tax. Hope this helps.
4 0
3 years ago
Wes measures the floor area of his rectangular living room to replace the carpet with tiles.The room is 12.4 feet long and 9.8 f
Zina [86]

Answer: 121.52 square feets

Step-by-step explanation:

The room has the shape of a rectangle and its dimensions are 12.4 feet long and 9.8 feet wide. This means that dimension of the carpet is also 12.4 feet long and 9.8 feet wide. To replace the rectangular carpet with tiles, the area of the tiles must be equal to the area of the carpet. The area of the carpet is determined by length × width.

Length of the room or carpet = 12.4 feets

Width of the room or carpet = 9.8 feets

The number of square feets of tiles that Wes will need

=12.4 ×9.8 = 121.52 square feets

7 0
3 years ago
Percent decrease from 145 to 132. Round to the nearest percent
o-na [289]
132/145 × 100% = 91.03%

i am a mathematics teacher. if anything to ask please pm me
5 0
3 years ago
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