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Taya2010 [7]
2 years ago
8

The area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height​

Mathematics
1 answer:
nlexa [21]2 years ago
3 0

Answer:

6 cm

Step-by-step explanation:

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200 million drivers in the untied states
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The index of refraction of quartz is anisotropic. Suppose that visible light is passing from one grain to another of different c
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Answer:

The reflectivity at the boundary of the two grains is 2.9×{10}^{-3}

Step-by-step explanation:

Given :

Refractive index of one grains (n_{1}) = 1.553

Refractive index of second grains (n_{2}) = 1.544

According to the fresnel equation,

∴ general equation of refraction ( reflectivity ) r = \frac{ n_{1} cos\alpha _{i}  - n_{2}cos_{t} }{ n_{1} cos\alpha _{i}  + n_{2}cos_{t} }

where cos\alpha _{i} = incident angle, cos\alpha _{t} = transmitted angle

but for normal incidence \alpha = 0°

so our equation become,

⇒   r =  \frac{n_{1} - n_{2} }{n_{1} + n_{2}}

     r = \frac{1.553 - 1.544}{1.553 + 1.544}

     r = \frac{0.009}{3.097}

     r = 2.9×10^{-3}

Therefor reflectivity at the boundary is given by r = 2.9×10^{-3}.

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3 years ago
What is the square root of 41
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At a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The d
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Answer:

dh/dt=9.82x10^-3 ft/min

Step-by-step explanation:

1. You have that the rate is10 ft³/min. Then:

dV/dt=10

2. The formula for calculate the volume of a cone, is:

V=1/3(πr²h)

"r" is the radius and "h" is the height.

3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:

r=diameter/2

diameter=3h

r=3h/2

4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:

V=1/3(πr²h)

V=1/3(π(3h/2)²(h)

V=1/3(π9h²/4)(h)

V=9πh³/12

5. Therefore:

dV/dt=(9πh²/4)dh/dt

h=12

dV/dt=10

6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:

dV/dt=(9π(12)²/4)dh/dt

10=(1017.876)

7. Finally, you obtain:

dh/dt=10/1017.876

dh/dt=9.82x10^-3 ft/min

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