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Maurinko [17]
2 years ago
7

Use the given scale factor and the side lengths of the scale drawing to

Mathematics
1 answer:
gavmur [86]2 years ago
5 0

Answer:

A

Step-by-step explanation:

A scale drawing is a reduced  or enlarged form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced or enlarged at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

a = 12 inches / 6 = 2 inches

b = 9 inches / 6 = 1.5 inches

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2 years ago
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Write the 5th term in the expansion of (5x-y/2)^7
Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0
2 years ago
A fruit merchant sells packages of apples and bananas. Each package includes 3 apples and 4 bananas. If the merchant Sells 20 pa
diamong [38]

Answer:

80

Step-by-step explanation:

number of apples in each package = 3

number of bananas in each package = 4

total number of bananas in every 20 packages = 20 × 4 = 80

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6 0
3 years ago
To decrease your household water usage by 10% a month means that a household using 4000 gallons of water a month would cut down
a_sh-v [17]

Answer:

3600

Step-by-step explanation:

0.1*4000=400

4000-400=3600 gallons

8 0
3 years ago
Work out the value of 10^6 it is uuuuurrrrrrrrgggaaaaaaannnntttttt.
mojhsa [17]

Answer:

1000000

Step-by-step explanation:

10x10x10x10x10x10=1000000

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3 years ago
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