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kati45 [8]
3 years ago
9

What is the length of arc S shown below? The angle in the figure is a central angle in radians.

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

2

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

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List all the factor pairs of 40
Zarrin [17]
2x20
1x40
4x10
5x8

All integers these multiply to 40
6 0
3 years ago
Read 2 more answers
the length of a rectangle is 5 units longer than its width. If the perimeter must be at least 34 units, what are the possible le
ololo11 [35]

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.

34 ≤ 2*(5+w) + 2w

34 ≤ 10+2w+2w

34 ≤ 10+4w

24 ≤ 4w

6 ≤ w

This means the width must be at least 6 so the solution is w ≥ 6.

To find the length substitute 6 into l ≤ 5+w.

l ≤ 5 + 6

l ≤ 11

The length is l ≥ 11.

6 0
4 years ago
I
posledela

Answer:

6(x-8)=5-2x

Step-by-step explanation:

let the number be x

so we have six times the difference between a number and 8

that is 6(x-8).

is equal to 5 less than twice the number ..we have

=5-2x.

therefore, our answer becomes:

6(x-8)=5-2x

5 0
3 years ago
A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
3 years ago
Read 2 more answers
Solve for x and y. What is m
irina [24]
3x + 2y + y - 3x = 180

3y = 180

y = 180/3

y = 60

3x = y - 3x

Let y = 60

3x = 60 - 3x

3x + 3x = 60

6x = 60

x = 60/6

x = 10

Answer: x = 10, y = 60
4 0
3 years ago
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