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Eddi Din [679]
3 years ago
10

A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0
It is 20 because if u divide 78 by 3.75 ( 3 3/4 ) than equals 20.8
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Let f(x) = log(x). Find values of a such that f(kaa) = kf(a).
meriva

Answer:

a = k^{\frac{1}{k-2}}

Step-by-step explanation:

Given:

f(x) = log(x)

and,

f(kaa) = kf(a)

now applying the given function, we get

⇒ log(kaa) = k × log(a)

or

⇒ log(ka²) = k × log(a)

Now, we know the property of the log function that

log(AB) = log(A) + log(B)

and,

log(Aᵇ) = b × log(A)

Thus,

⇒ log(k) + log(a²) = k × log(a)         (using log(AB) = log(A) + log(B) )

or

⇒ log(k) + 2log(a) = k × log(a)            (using log(Aᵇ) = b × log(A) )

or

⇒ k × log(a) - 2log(a) = log(k)

or

⇒ log(a) × (k - 2) = log(k)

or

⇒ log(a) = (k - 2)⁻¹ × log(k)

or

⇒ log(a) = \log(k^{\frac{1}{k-2}})          (using log(Aᵇ) = b × log(A) )

taking anti-log both sides

⇒ a = k^{\frac{1}{k-2}}

3 0
3 years ago
What is the area of the circle?
Bumek [7]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

8 0
3 years ago
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ryzh [129]

Answer:

A) 2

Step-by-step explanation:

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7 0
4 years ago
Which of the following terms correctly describe the object below?
Hitman42 [59]

Answer: Square, cube, solid.

Step-by-step explanation: The following shape could pass for square cube and solid, because they all form a square - liked shape.

6 0
3 years ago
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What are the measures of the angles in the triangle? (6x + 10) (x + 17) (4x - 34)​
REY [17]

I'm not quite sure these are right. You might wanna check with a classmate or something first.

Step-by-step explanation:

(6x + 10) + (x + 17) + (4x - 34) = 180

11x - 7 = 180

11x = 173

x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)

(6x + 10)

6 (15.73) + 10

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(x + 17)

(15.73) + 17

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(4x - 34)

4(15.73) - 34

62.92 - 34

28.92

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3 years ago
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