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Oksana_A [137]
3 years ago
5

An arc is intercepted by a two radio that form an angle of 3π/4 radians. If the radius of the circle is 7 inches then which of t

he following is closest to the arc length, s, also measured in inches?
(1) 12.8
(2) 16.5
(3) 18.5
(4) 21.8

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0
The correct answer is 18.5
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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two
maria [59]

Answer:

4xy and 12x

Step-by-step explanation:

In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options

Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.

This makes 24 and 44y out of the way.

Now let’s look at 4xy and 12x. Let’s insert them into the blank space;

36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)

and 36x^3-22x^2-12x = 2x(18x^2-11x-6)

The reason why we will not use 44y and 24 is because 2x is not a factor of either.

3 0
3 years ago
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stepan [7]
I think it's A. Sorry if I get it wrong.
7 0
4 years ago
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3<br> Find the slope and y-intercept from the following graph of a linear equation.
morpeh [17]

Answer:

A. Slope = 4 and y-intercept  = 3

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3 years ago
A prism has a length of 5 meters, height of 6 meters, and width of 1 meter.
Svetradugi [14.3K]

Answer: 30 m3 (meters cubed)

Step-by-step explanation:

To get the volume of a rectangular prism, multiply the width times the length times the height.

1 x 5 x 6 = 30

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