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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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5 0
3 years ago
Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

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Step-by-step explanation:

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5 0
3 years ago
Someone please help me with this lol… have no idea what I’m doing
Sholpan [36]

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

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In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

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Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

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6 0
2 years ago
Marathon runner covered the whole distance in 4 hours running at a constant speed of 8.1 km per hour. How long would it take him
katen-ka-za [31]

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8 0
3 years ago
Quadrilateral ABCD ABCD is similar to quadrilateral EFGH EFGH. The lengths of the three longest sides in quadrilateral ABCD ABCD
Kay [80]
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5 0
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