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Natasha_Volkova [10]
3 years ago
13

If a is three times b, b is twice c, and c is four times d, what is the value of a*c/b*d

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

12

Step-by-step explanation:

a=3b

b=2c

c=4d

a*c/b*d = (3(2(4d)))*(4d)/(2(4d))*d

            = 96d^2/8d^2

            = 12

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The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l
miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0
3 years ago
Is -12/6 a rational number?
stiv31 [10]
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Therefore, -12/6 is a rational number
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How much in Federal taxes does Curtis pay annually?
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The amount of Federal Taxes that Curtis pays annually would be 1538.68.

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2. What type of angle is ACE?<br><br> right<br> acute<br> obtuse<br> straight
cestrela7 [59]
It is a straight angle because it is on a straight line.

Hope this helps :)
3 0
3 years ago
Read 2 more answers
3 3/4 divide 2 1/12<br><br><br> sssss
dybincka [34]
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