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3 years ago

12

The weight Wkg of a metal bar varies jointly

1 answer:

maria [59]3 years ago

6 0

Answer:

d = $\sqrt{\frac{216W}{35L} }$

Step-by-step explanation:

Given that W varies jointly as L and d² then the equation relating them is

W = kLd² ← k is the constant of variation

To find k use the condition W = 140 when d = 4 and L = 54, thus

140 = k × 54 × 4² = 864k ( divide both sides by 864 )

$\frac{140}{864}$ = k , that is

k = $\frac{35}{216}$

W = $\frac{35}{216}$ Ld² ← equation of variation

Multiply both sides by 216

216W = 35Ld² ( divide both sides by 35L )

$\frac{216W}{35L}$ = d² ( take the square root of both sides )

d = $\sqrt{\frac{216W}{35L} }$

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Flura [38]

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

$\sqrt{r^2+h^2}$

34 = $\sqrt{30^2 + h^2}$

$34^2 = 30^2 + h^2$

$1156 = 900 + h^2$

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$h = \sqrt{256}$

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6 0

3 years ago

Help please and thanks! I'll award brainliest if you show your work as well :)

iren2701 [21]

Answer:

6 inches

Step-by-step explanation:

Formula for surface area of a cylinder:

$SA=2\pi r^{2} +2\pi rh$

Plug in values and solve for the radius:

$180\pi =2\pi r^{2} +2\pi r(9)\\$

Divide both sides by $2\pi$

$90=r^{2} +r(9)$

Subtract 90 from both sides

$0=r^{2} +9r-90$

Use the quadratic equation to find the roots

$x=(-b$ ± $\sqrt{b^2-4ac})*\frac{1}{2a}$ (sorry for formatting, Brainly doesn't

allow equations with ± in them)

$x=\frac{-9+\sqrt{9^2-4*1*90} }{2(1)}$ and $x=\frac{-9-\sqrt{9^2-4*1*90} }{2(1)}$

$x=\frac{(-9+\sqrt{81+360})}{2}$ and $x=\frac{(-9-\sqrt{81+360})}{2}$

$x=\frac{(-9+\sqrt{441})}{2}$ and $x=\frac{(-9-\sqrt{441})}{2}$

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2 years ago

Which of the following statement is correct

bagirrra123 [75]

Answer:

the 3rd one

Step-by-step explanation:

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5 0

3 years ago

Which equation is non linear y=3x y=3x^2 y=3^2 y=x

aleksandr82 [10.1K]

Answer:

y=x

Step-by-step explanation:

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4 0

3 years ago

Which statement about g(x)=x^2-576 is true

Ipatiy [6.2K]

Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

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6 0

3 years ago