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Sladkaya [172]
2 years ago
7

Perform the indicated operation.

Mathematics
1 answer:
Illusion [34]2 years ago
4 0

Answer:

\frac{2 \sqrt{5} x +  \sqrt{2} x}{2}

Step-by-step explanation:

(3 \sqrt{20x} +  \sqrt{18x} ) \div 6 \sqrt{x}

(3 \sqrt{4 \times 5x}  +  \sqrt{9 \times 2x} ) \div6 \sqrt{x}

(6 \sqrt{5x}  + 3 \sqrt{2x})  \div 6 \sqrt{x}

\frac{6 \sqrt{5x}  + 3 \sqrt{2} }{6}  \times  \sqrt{x}

\frac{2 \sqrt{5} x +  \sqrt{2}x }{2}

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The center of Walden’s data, 3, is less than the center of Drake’s data set, 6.

Step-by-step explanation:

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Find four consecutive integers with a sum of 106.
grandymaker [24]
4 consecutive integers...
x, x + 1, x + 2, x + 3

x + x + 1 + x + 2 + x + 3 = 106
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4x = 106 - 6
4x = 100
x = 100/4
x = 25

x + 1 = 25 + 1 = 26
x + 2 = 25 + 2 = 27
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ur 4 integers are : 25,26,27,28
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2 years ago
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Answer is $10,825 did that test too (C)
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A rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet. What is the perimeter in mixed number?
Vadim26 [7]

Answer: 18 1/6 feet

Step-by-step explanation:

From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.

The perimeter would be calculated as:

= 2(length + width)

= 2( 5 1/3 + 3 3/4)

= 2( 5 4/12 + 3 9/12)

= 2( 8 13/12)

= 2 (9 1/12)

= 2 × 9 1/12

= 2 × 109/12

= 218/12

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5 0
3 years ago
Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{BO}{OA}

OA=BO(\sqrt{3})

By applying tangent rule in the given right triangle BOC,

tan(60°) = \frac{OC}{BO}

OC = BO(√3)

OA + OC = AC

BO(\sqrt{3})+BO(\sqrt{3}) =60

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = \frac{OD}{OC}

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

6 0
2 years ago
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