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lakkis [162]
3 years ago
7

If y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = \frac{kx}{z} ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = \frac{yx}{z} = \frac{16(42)}{2} = 336

y = \frac{336z}{x} ← equation of variation

When x = 14 and z = 8, then

y = \frac{336(8)}{14} = 192

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Answer:  \frac{\sqrt{85}}{7}

<u>Step-by-step explanation:</u>

(7, 6)

Use Pythagorean Theorem to find the hypotenuse:

7² + 6² = c²

49 + 36 = c²

   85      = c²

   √85  = c

adjacent = 7, opposite = 6, hypotenuse = √85

sec θ = \frac{hypotenuse}{adjacent} = \frac{\sqrt{85}}{7}

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3 years ago
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Step-by-step explanation:

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3 years ago
The football team ordered 2 pizzas, they didn't eat 1/12 of one pizza and 2/4 of the other. How much pizza was left?
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3 years ago
Help me please ;-;-;-;-;​
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Answer:

y = -5

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5 0
3 years ago
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If D is the midpoint of EG, find the length of EG
Brrunno [24]

ED = x - 5 <em>given</em>

DG = 4x - 38 <em>given</em>

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33 = 3x <em>addition property of equality (added 38 to both sides)</em>

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