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2 years ago

The mixed number 1 2/5 and the decimal number 1.4 can be used to represent the same value.

Mathematics

2 answers:

Inessa05 [86]2 years ago

8 0

True
1 2/5 =1.4
2 divided by 5 is .4
plus the 1
1.4 = 1.4

ivanzaharov [21]2 years ago

7 0

Answer:

False

Step-by-step explanation:

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Square root of50 is it rational true or false

morpeh [17]

Rational numbers end
irrational numbers do not
pi is an irrational number
√2 is an irrational number
so
√50=√2 times √25=√2 times 5
irrational times rational =irrational
√2=irrational

answer is false, it is rrational

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3 years ago

What is the area of this parallelogram? 104 m² 88 m² 56 m² 32 m²

iragen [17]

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3 years ago

Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

2 years ago

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the

Len [333]

Answer:

First quartile = 3.5

Third quartile = 6.5

Step-by-step explanation:

Sales for last 20 hours :

3, 4, 5, 5, 6, 7

Using the data given :

The first quartile, Q1 ;

Q1 = 1/4(n+1)th term

n = 6

Q1 = 1/4(6 + 1)th term

Q1 = 7/4 = 1.75 th term

(3 + 4) / 2 = 7/2 = 3.5

The third quartile, Q3:

Q3 = 3/4(n+1)th term

n = 6

Q3 = 3/4(6 + 1)th term

Q3 = 21/4 = 5.25th term

(5th + 6th) term / 2

(6 + 7) / 2 = 13/2 = 6.5

6 0

3 years ago

If you are given a part-to-whole ratio, can you write part-to-part ratio? Explain

stealth61 [152]

There are 2 types of ratios: Part-to-Wholes, and Part-to-Part ratios.

Part-to-part ratios show the relationship between the two groups.

Lets say theres 10 fruits in a fruit bowl.

If you have 3 apples, and 7 oranges, then the ratio is 3:7 as the part-to-part ratio. But the part-to-whole ratio would be either 3:10 ( for apples) or 7:10 (for oranges)

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3 years ago