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2 years ago

If area of cross section of a prism is A cm² and height h cm then find the volume

Mathematics

1 answer:

AfilCa [17]2 years ago

3 0

Answer:

Volume= area of cross section*height

so, volume of prism = A*h

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The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the sq

velikii [3]

Answer:

3cm/s

Step-by-step explanation:

Area of a square is expressed as:

A = L²

Rate of change of area is expressed as:

dA/dt = dA/dL•dL/dt

Given that

dA/dt = 24cm²/s

L = 4cm

Required

dL/dt

Since dA/dl = 2L

dA/dl = 2(4)

dA/dl = 8cm

Subatitute the given values into the formula

24 = 8 dL/dt

dL/dt = 24/8

dL/dt = 3cm/s

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3 years ago

Y = 3 - 5x solve for x

boyakko [2]

Answer:

x = -1/5y + 3/5

Step-by-step explanation:

y = 3 - 5x

Subtract 3 from both sides;

y - 3 = -5x

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-1/5y + 3/5 = x

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2 years ago

The Human Resources manager at a company records the length

luda_lava [24]

Answer:

the correct answer is 0.84

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3 years ago

Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g

Ilia_Sergeevich [38]

a. The $\vec k$ component tells you the particle's height:

$3t=16\implies t=\dfrac{16}3$

b. The particle's velocity is obtained by differentiating its position function:

$\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k$

so that its velocity at time $t=\frac{16}3$ is

$\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k$

c. The tangent to $\vec r(t)$ at $t=\frac{16}3$ is

$\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t$

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2 years ago

Solve the following quadratic by completing the square. y = x2 - 6x + 7

kobusy [5.1K]

Answer:

x = 5 or x = 1

Step-by-step explanation:

x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9 1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

$\sqrt{(x - 3)^2$ = $\sqrt{2}$

(x - 3) = ± 2

x - 3 = 2 or x - 3 = -2

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2 years ago

If area of cross section of a prism is A cm² and height h cm then find the volume​

If area of cross section of a prism is A cm² and height h cm then find the volume