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Anettt [7]
3 years ago
14

Find the length of the arc intercepted by an angle of 36° in a circle with radius 12 inches

Mathematics
1 answer:
azamat3 years ago
8 0
Set up a pair of proportional ratios...

a/(2πr)=α/360

a=(πrα)/180, we are given that r=12 and α=36° so

a=432π/180 in

a=12π/5 in

a=2.4π in

a≈7.54 in (to nearest one-hundredth of an inch)



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(Q2) Which of the following points lies on the graph of the function y = 4x ?
stepladder [879]

Answer:

C

Step-by-step explanation:

I think I will answer the question the your attachment because it has full information.

The function is: y = 3*2^{x}

a. The function decreases

Wrong, because the base number is 2 and it is greater than 0. The function will go up

b. y=intercept of  (0.2)

Wrong, Let substitute x =2 into the function: y = 3*2^{2} = 12  

c. if x increase by 1, the value of y will double

Because the base number is 2. For example:

  • If x = 2, y = 3*2^{2}  = 12
  • If x =3, y =3*2^{3} =(3*2^{2}*)2  = 24

d. contains the point (2,4)

Wrong, Let substitute x =4 into the function: y = 3*2^{4} = 48

So we choose C

5 0
3 years ago
Please answer both questions and show all work.
sammy [17]
(1) 6 1/3 = 76/12
2 3/4 =  33/12
___________+
109/12
divide and get 9 1/12
-----------------------------------
(2)3 1/2 = 43/12
5 1/2 = 66/12
*from first answer* 109/12
add and you get 218/12
divide and get the answer 18 1/6
Hope this helps you!
3 0
3 years ago
The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu
BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0
3 years ago
What is the surface area of the given figure? and how did you find the answer?
Westkost [7]
2280 cm2, 2*((24*10)/2)+24*34+10*34+34*26=2280
4 0
3 years ago
He transformation function is (x, y) --&gt; (x + 4, y - 2). The starting point is point A at (-5, 6). Step 1: A: (-5, 6) x: , y:
alex41 [277]

Given:

Rule of transformation is (x,y)\to (x+4,y-2).

Point = (-5,6)

To find:

The missing values in the given steps of transformation.

Solution:

Step 1: A: (-5, 6).

x:-5,y:6

Step 2: Substitute x and y into (x+4,y-2):

(-5+4,6-2)=(-1,4)

Step 3: Do the math:

Point A' is at (-1 ,4 ).

Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).

3 0
3 years ago
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