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krek1111 [17]
3 years ago
13

Select the correct answer. Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currentl

y 40 meters wide and 60 meters long. The new pumpkin patch will be 3x meters wider and 5x meters longer than that of the original pumpkin patch. Which of the following functions will give the area of the new pumpkin patch in square meters? A. f(x) = 15x2 + 420x + 2,400 B. f(x) = 15x2 C. f(x) = 15x2 + 2,400 D. f(x) = 15x2 + 380x + 2,400
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

Option D

f(x)=15x^{2}+380x+2400

Step-by-step explanation:

Original dimensions are as follows

Length=60 m

Width=40 m

Area=60*40=2400 m^{2}

New dimensions

Length=(60+5x) m

Width=(40+3x) m

Area=(60+5x)\times (40+3x)

Area=60(40+3x)+5x(40+3x)=2400+180x+200x+15x^{2} and collecting like terms we obtain

Area=15x^{2}+380x+2400

Therefore,

f(x)=15x^{2}+380x+2400

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It took Sharon 4 hours to drive to her grandmother's house. Her grandmother lives 140 miles from Sharon.
Vladimir [108]

Answer:

You're right its B or 35

Step-by-step explanation:

Just divide 140 by 4 u get 35

3 0
2 years ago
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Factor.
tekilochka [14]

Answer:

Answer is C

Step-by-step explanation:

(x + 6)(x + 2)

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2 years ago
1. The rapper charges a fee of $200 per party and $5 per song. Write an equation that
suter [353]

Answer:

$235

Step-by-step explanation:

X= per party A= per song

X*200+5*A

He goes to a party and plays 7 songs therefore he will be paid;

200+ 5*7= $235

8 0
3 years ago
Can anyone find the area of this triangle ?
Alexxx [7]
12Sqrt(3) 

This is because we can find the height and base of the triangle by using 30-60-90 triangles. Because the center point bisects the 60 degree angles in each corner, we can make 30-60-90 triangles. Then using porportions, you'll find the height of the triangle is 6 and the base is 4sqrt(3). Then use the area of a triangle formula. 
7 0
3 years ago
i am failing geometry and was wondering if my answers were right im really trying to get my grade up can someone please help tha
bagirrra123 [75]

Answer:

1)b

2)d)80/360×36π≈25.12cm²

4)d)32.5

5)c)135°

6)d)4π/3

Step-by-step explanation:

1) because as we know

Circle equation

=(x-a)²+(y-b)²=r²

=(x-5)²+(y+1)²=36 (given)

=(x-(+5))²+(y-(-1))²=6²

So

C(5,-1)and r=6

2)as we know area of sector

=Theta/360×πr²

=80/360×6²π

80/360×36×3.14

80/10×3.14

=25.12

4)to figure out 4 we have to separate the shape into 2 parts

First  semi-circul

Second rectangle

So the parameter of the shape

=Circumference of semi-circul + the parameter of the rectangle

=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)

=[15.7+26.8]-10

=32.5

5)3π/4

3×180/4

540/4

135

6)240°

240°×π/180°

4π/3

7 0
2 years ago
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