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madam [21]
3 years ago
11

Determine the value of s, the arc length (measured in inches) cut off in a circle with a radius of 3.4 inches by an angle with a

measure of 4.5 radian
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

Arc length s = 15.3 inches

Step-by-step explanation:

We know that length of an arc that subtends an angle θ radians at the center is given by

s=r\times \Theta

where

r is the radius of the circle

θ  is the angle subtended in radians

Thus applying values we get s=3.4\times \ 4.5radians

thus s = 15.3 inches

You might be interested in
James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
PLEASE HELP!! I'll make brainliest ​
Gekata [30.6K]
Sorry people send you links instead of actually helping you
5 0
3 years ago
Ron walks 22.5 in 5 hours finds his speed<br>​
Lostsunrise [7]

Answer:

his speed would be 4.5 miles per hour

Step-by-step explanation:

if you do the distance divided by the hours you will get the answer.

  22.5/5=4.5

7 0
2 years ago
Which graph represents y=⌈x⌉ over the domain 3≤x≤6 ?
Nataly_w [17]
Im pretty sure the answer would be the fourth one. because a greater than or equal to. is a solid dot and just greater than is just a circle. and it get higher. so That is what im thinking the answer would be.
Hope this helps.
4 0
3 years ago
Read 2 more answers
The length of a rectangle is 5cm less than twice the width. The perimeter is 44cm.
Veronika [31]

Answer:

Width = 9

Length = 13

Step-by-step explanation:

width = w

length = L

w(2) - 5 =  L

w + w + L + L = 44

44 + 5 + 5 = 54

54/6 = 9

9(2) = 18 - 5 = 13

w = 9

l = 13

Check:

9 + 9 + 13 + 13 = 44

9(2) = 18 - 5 = 13

5 0
3 years ago
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