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ankoles [38]
3 years ago
14

Find the lateral area and the total area of the prism.

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0
We have that

1) the lateral area---------------->  L=P*h
P=(3+3+3)   h=6
L=(3+3+3)*6=54 in²

the answer part 1) is the lateral area is 54 in²

2) the total area=------------- > S=P*h+2B
2B=2*[3*3/2]     P*h=54

S=2*[3*3/2]+54=63 in²

the answer part 2) is the total area is 63 in²
mezya [45]3 years ago
7 0

Answer:

54 sq. ft.

Step-by-step explanation:

LA=ph or in other words Lateral Area= base perimeter * height

The perimeter of the base is 9 because 3+3+3=9.

The height is 6. So 6 * 9 = 54

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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
3<br> Solve for x.<br> 9(x + 1) = 25 + x<br> Ο x=2<br> x=3<br> 0 x=4<br> 0 0 0 0<br> Ο<br> 0 x=5
muminat

Answer:

x= 2

Step-by-step explanation:

so expand the left side of the equation

9x+9= 25+x

and then group like terms( subtract 9 from both sides and also do same with x.

9x-x= 25-9

8x= 16

divide by 8 on both sides.

x=2

7 0
1 year ago
Find the slope of the line.
Verizon [17]

Answer:

Step-by-step explanation:

i dont know

7 0
3 years ago
Someone help meeee??? Pleaseeee
s2008m [1.1K]

Answer:37

Step-by-step explanation:

(5x7)+2

35+2

=37

6 0
3 years ago
the rent charged for offices in a building is proportional to the area of the office. the monthly rent for one office with an ar
sasho [114]
1,800square ft/$1,200
1.5 square ft for $1

Now to find the area of mr. halloran’s office
$18,000/12 months = $1,500 per month
$1,500•1.5 sqft = 2,250 square feet
So mr. Halloran’s office area is 2,250 square feet and he pays $1,500 per month
4 0
3 years ago
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