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sergey [27]
3 years ago
15

Multiply and simplify the following products. V stands for radical.

Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

(1) 9

(2) \sqrt{6}

(3) 6(\sqrt{6})

Step-by-step explanation:

From the question,

(1) (\sqrt{9})²

    Applyin the law of multiplication of surds

   (\sqrt{9})²  = (

(2)  (\sqrt{2})× (\sqrt{3}) =

   Also applying the the law of multiplication of surd

   (\sqrt{2\\})×(\sqrt{3}) =  (\sqrt{6}) ( This is an irational answer)

   ∴ (\sqrt{2})×(\sqrt{3})  = \sqrt{6}

 (3) 2(\sqrt{2})×3(\sqrt{3})

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×(\sqrt{2})×(\sqrt{3})

       6×(\sqrt{6}) = 6(

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Multiply 0.006 by 3.08. Express in standard form​
olga_2 [115]

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

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2 years ago
Planes S and R both intersect plane T Which statements are true based on the diagram? Select three options OPlane S contains poi
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Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option (1).

Planes S contains points B and F.

False.

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Option (2).

The line containing points A and B lie on the plane T.

True.

(points A and B lie on plane T)

Option (3).

Line v intersects lines x and y at the same plane.

False.

Option (4).

Line z intersects plane S at point C.

True.

Option (5).

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3 years ago
You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a
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<h2>○=> <u>Correct option</u> :</h2>

\color{plum} \bold{ \tt \:  \bold{C.  \$20,652.00}}

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

= \tt  \frac{8.3}{10 \times 100}  \times 1900

= \tt  \frac{8.3 \times 19000}{1000}

= \tt  \frac{1577000}{1000}

\color{plum} = \tt  \$1577

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

=  \tt19000 + 1577 + 75

\color{plum} = \tt  \$20652

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

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