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Fudgin [204]
3 years ago
12

HHHHHEEEEELLLLLPPPPPP

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0
The length of an arc is given by θ/360×2πr, where θ is angle subtended by the arc to the center and r is the radius of the circle.
 The length is 12 units, and θ/360 is 1/3
Therefore, 12 = 1/3 × 3.142 ×r
                    r = 12× 3/3.142
                    r = 11.457 units
                      ≈ 11 units
      
You might be interested in
3/4÷1/5 gffgdfdgfggdggdgdgdfgdgdgdgdgdgdgdgdfgdfgdgd ancer
AlekseyPX

Answer:

improper fraction- 15/4

Mixed number-  3  3/4

Decimal- 3.75

Step-by-step explanation:

use K.C.F (Keep Change Flip)

7 0
3 years ago
An employer said the each worker receives $24 and fringe benefits for every $100 in wages at this rate what wages were earned by
Fynjy0 [20]

Answer:

approximately 43

Step-by-step explanation:

if you make fringe benefits for every 100 dollars that would mean you would have to do this 43 times in order to get the amount to 5,100

8 0
3 years ago
Researchers at Gallup were interested in whether there was a decrease in the proportion of nonretirees (in other words, people w
Lera25 [3.4K]

Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

  • H_{0}: P=0.60
  • H_{a}: P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

8 0
3 years ago
A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly be
jonny [76]

Answer:

98

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 1.

How?

Change of y is 100-1=99.

Change of x is 100-1=99.

The slope is 99/99=1 or 1/1.

So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).

If we do that again from (2,2) we get (3,3).

Following the pattern of going up 1 and right from each new location discovered we get all the of these points:

Start (1,1)

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

....

(96,96)

(97,97)

(98,98)

(99,99)

end (100,100)

So we just need to count all the numbers from 2 to 99.

99-2+1

97+1

98

7 0
2 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
3 years ago
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