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mixer [17]
4 years ago
9

It costs $0.60 per ft² to cover a right triangular field with sod. The side lengths of the field are 300 ft, 400 ft, and 500 ft.

Mathematics
2 answers:
algol [13]4 years ago
8 0
In this triangle, we know base & perpendicular are 300 & 400 'cause 500 is the longest side which is hypotenuse 

Now, Area of a triangle = ab/2 = (300)(400)/2 = 120000/2 = 60000

As cost for 1 ft² = $0.60
cost for 60000 ft² = 60000 * 0.60 = $36000

In short, Your Answer would be Option A

Hope this helps!
Bess [88]4 years ago
3 0
The height of the triangle is 300 ft and the base is 400 ft. So you use the formula for the area of a triangle because you are covering the triangle. The formula is A = 1/2bh. So A = 1/2 300 * 400. 300 * 400 is 120,000. Multiply 120,000 by 1/2 and you get 60,000. Now that you have the area, multiply it by .60 to find how much it costs. 60,000 * .60 = 36,000.

The answer is A.
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Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of
Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

x = 56 - y

The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

27.71 - 0.26y = 23.55

- 0.26y = 23.55 - 27.71

- 0.26y = - 4.16

y = - 4.16/ - 0.26y

y = 16

x = 56 - y = 56 - 16

x = 40

z = y + 9 = 16 + 9

z = 25

7 0
3 years ago
2. The Martian Zoological Society has a unique display of the native monocephalous fauna:
german

Answer:

There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.

Step-by-step explanation:

Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:

If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).

If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).

Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).

6 0
3 years ago
What is the ratio 4:6 in its simplest form
Fantom [35]

Answer:

2 : 3

Step-by-step explanation:

4 : 6

Divide each by 2

2 : 3

4 0
3 years ago
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Determine the solution to 8x = 32 that makes the equation true.
ratelena [41]

Answer:

4

Step-by-step explanation:

8x=32

x = 4

6 0
3 years ago
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How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters
Vadim26 [7]
So basically you just want to say:

5 choices, with five choices stemming from that, with five more choices stemming from that.

(Drawing a tree would show that well)

Or, 

5 * 5 * 5

Which is,

25 * 5

Or 125.

So 125 three letter words can be made from the letter FGHIJ 
6 0
4 years ago
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