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horrorfan [7]
3 years ago
11

What is the value of the expression shown when n = 6?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

StartFraction 42 Over n EndFraction minus 8; when n = 6 the expression equals –1

Step-by-step explanation:

Let's put the equation into numbers:

“8 less than the quotient of 42 and a number”

= 42/n - 8

Now, substitute 6 into this expression:

42/6 - 8

= 7 - 8

= -1

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Solve for the 3 sides
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Answer:

1. x = 2√3 or 3.46

2. y = 4√3 or 6.93

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Step-by-step explanation:

1. Determination of the value of x.

Angle (θ) = 60°

Opposite = 6

Adjacent = x

Tan θ = Opposite /Adjacent

Tan 60 = 6 / x

√3 = 6/x

Cross multiply

x√3 = 6

Divide both side by √3

x = 6 / √3

Rationalise

x = (6 / √3) × (√3/√3)

x = 6√3 / 3

x = 2√3 or 3.46

2. Determination of the value of y.

Angle (θ) = 60°

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 60 = 6/y

√3/2 = 6/y

Cross multiply

y√3 = 2 × 6

y√3 = 12

Divide both side by √3

y = 12/√3

Rationalise

y = (12 / √3) × (√3/√3)

y = 12√3 / 3

y = 4√3 or 6.93

3. Determination of the value of z.

Angle (θ) = 45°

Opposite = y = 4√3

Hypothenus = z

Sine θ = Opposite /Hypothenus

Sine 45 = 4√3 / z

1/√2 = 4√3 / z

Cross multiply

z = √2 × 4√3

z = 4√6 or 9.80

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3 years ago
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Answer:

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Step-by-step explanation:

1-40% = 1-0.4=0.6 or 60%

60% not good at art.

60*60% = 60*6/10 = 6*6 = 36

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2 years ago
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