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umka2103 [35]
2 years ago
5

The area of a square is (36d^2 - 360d + 9) in^2.

Mathematics
1 answer:
Ber [7]2 years ago
8 0

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

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Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

7 0
2 years ago
Solve the problem for Part A and Part B
Novosadov [1.4K]

Part A answer is (A)

Part B answer is 3.170

5 0
3 years ago
50,60,72 find the 8th term airthmetic and geometric sequence
Savatey [412]

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

a_{n} = ar^{n - 1}

In your case a = 50, r = 6/5 and n = 8

a_{8} = 50(6/5)^{8 - 1} \\          = 50(6/5)^{7} \\          =  50(279936/78125)\\          =   179.15904

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3 years ago
a rational number m is called a perfect square if and only if for some positive rational number, m equals​
dmitriy555 [2]
If m= a number that can be square rooted to give a whole number
8 0
2 years ago
A truck is carrying 8 cars weighting an average of 4500 pounds each. What is the total weight in tons of the cars on the truck?
umka2103 [35]

Answer:

the total weights in tons is 18

Step-by-step explanation:

The computation of the total weights in tons is shown below:

The weight of 8 cars would be

= 4,500 pounds × 8 cars

= 36,000 pounds

Now as we know that 1 ton = 2,000 pounds

So for 8 trucks it would be

= 36,000 pounds ÷ 2,000 pounds

= 18 tons

Hence, the total weights in tons is 18

8 0
3 years ago
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