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kipiarov [429]
3 years ago
15

Prove that the decimal 8.72 is rational by finding its fractional form.

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
Noce


Step by step solution



Dd
D
D
Dd
D
F
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What is the greatest common factor of 72, 54,and 18
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Answer:

18

Step-by-step explanation:

Factors of 54

1, 2, 3, 6, 9, 18, 27

Factors of 72

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

Factors of 18

1, 2, 3, 6, 9, 18.

Greatest Common Factor

We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.

So the greatest common factor 72, 54 and 18 is 18.

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Given h(x) = x^ - 2, what is the value of h(-3) ?<br><br> ^ = is exponent 2
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Answer:

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Step-by-step explanation:

<u>Given</u>

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<u>Substitute x with -3</u>

  • h(-3) = (-3)^-2 = 3^-2 = 9^-1 = 1/9
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A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of
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Answer:

14.3 km/h   to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v  be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 /  t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:-   (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

12(1 .75 - t1) - 12t1 = -6t1(1.75 -  t1)

21 - 12t1 - 12t1 = -10.5t1 + 6t^2

6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

Therefore the speed in still water (v)  = 12/1.058 + 3 = 14.3 to 3 sig figs

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3 years ago
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I hope that helps. :)
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Identify at least one pair of the following angles
Dahasolnce [82]

Answer:

Alternate exterior angles : ∠g = ∠b , ∠h = ∠a  (opposite sides and on outer side)

Alternate interior angles : ∠c = ∠f , ∠e = ∠d (opposite sides and on inner side)

Consecutive interior angles : ∠c = ∠e , ∠d = ∠f (same sides and on same line)

Corresponding angles : ∠e = ∠a, ∠f = ∠b, ∠g = ∠c, ∠h = ∠d (same sides on the line)

Linear pairs : ∠c and ∠e, ∠d = ∠f, (they add to 180)

Vertical angles : ∠c =∠b, ∠d = ∠a, ∠g=∠f, ∠e = ∠h (vertical angles)

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