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Leviafan [203]
3 years ago
12

The Pythagorean Identity states that:

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

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3 years ago
At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,
Dennis_Churaev [7]

Answer:

\dfrac{x}{4}

C is correct.

Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

      2m + m = 3c     (∴  w=2m )

                c = m

Total number of men, women and children at the picnic be x

∵       c + m + w = x

     m + m + 2m = x

                    4m = x

Number of men, m=\dfrac{x}{4}

Hence, The total number of men will be  \dfrac{x}{4}

5 0
3 years ago
.A retailer sold two articles at same price. He sold the first one at 10% profit and the
IRISSAK [1]

Step-by-step explanation:

so let's assume they both sold for 100 each the first article sold for 10% laws there by cost of article is 111.11 rounded the second article made 25% profit so cost must be 80 total cost is 8.89 or 5% profit I'm so sorry if im wrong

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see attached picture for #6


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