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love history [14]
4 years ago
9

A rectangular garden next to a building is to be fenced on three sides. Fencing for the side parallel to the building costs $60

per foot, and material for the other two sides costs $20 per foot. If $1,500 is to be spent on fencing, what are the dimensions of the garden with the largest possible area?
Mathematics
1 answer:
masya89 [10]4 years ago
8 0
15 feet on each side
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One base of a trapezoid is 8 cm longer than the other. The height of the trapezoid is 2 cm longer than the shortest base. If the
Hitman42 [59]

Answer:

B

Step-by-step explanation:

Let's call the shortest side a. The longest base, b, is 8cm longer than a. The height, h, is 2cm longer than a.

b = a + 8

h = a + 2

A = (a + b)h/2

48 = (a + (a+8))(a+2)/2

     = (2a+8)(a+2)/2

     = (2a^2+12a+16)/2

48 = a^2+6a+8

a^2+6a-40=0

Now, we factor this:

(a + 4)(a - 10)=0

a = -4, 10

a (length) cannot be a negative no. so the only possible answer is a = 10.

b = 10 + 8 = 18

h = 10 + 2 = 12

The answer is B

Hope this helps!

7 0
3 years ago
I dont get this equation.
Dmitry_Shevchenko [17]
Answer: I don’t get it either so
I hope this helps
4 0
3 years ago
There 5 panakes in a stack.Elise make 40 pankcankes. How many stacks does Elise make?
Marta_Voda [28]

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

8 0
3 years ago
The Merry Go Round at the State Fair has a diameter of 82 feet and makes 15 revolutions per ride. How far would someone travel d
n200080 [17]

Answer:

About 1177.2 meter

Step-by-step explanation:

Given:

Diameter of Merry Go Round = 82 feet

Total revolution in one round = 15

Question asked:

How far would someone travel during one ride ?

Solution:

Diameter = 82 feet, radius = half of diameter,r = \frac{82}{2}  = 41

Circumference of a circular Merry Go Round = 2\pi r

                                                                          = 2\times3.14\times41 = 257.48

By applying unitary method:

In one round of Merry Go Round someone can travel = 257.48

In 15 rounds of Merry Go Round someone can travel = 257.48\times15

                                                                                        = 3862.2 feet

Now convert it into meter,

1 feet = 0.30 meter (approx)

3862.2 feet = 0.30\times3862.2 =  1177.199m (approx)

Therefore, about 1177.2 meter can be traveled by someone in one ride.

4 0
4 years ago
What is the measure of ∠MIJ?
Tems11 [23]
<MIJ = 1/2(360 - 2(55))
<MIJ = 1/2(360 - 110)
<MIJ = 1/2(250)
<MIJ = 125
answer is C. 125

5 0
3 years ago
Read 2 more answers
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