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Nimfa-mama [501]
2 years ago
13

Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. the surface area of the larger pyramid is 56 cm2. what is the surfa

ce area of the smaller pyramid? 40.1 cm2 42.7 cm2 52.2 cm2 59.8 cm2
Physics
2 answers:
Jlenok [28]2 years ago
6 0

The surface area of the smaller pyramid is determined as 42.7 cm².

<h3>Area of pyramids</h3>

The base area of the two similar pyramid is given as follows;

Base area of large pyramid = 16 cm²

Base area of smaller pyramid = 12.2 cm²

<h3>Surface area of the similar pyramids</h3>

The surface area of the smaller pyramid is calculated as follows;

s₁/b₁ = s₂/b₂

s₁/12.2 = 56/16

s₁ = 42.7 cm²

Thus, the surface area of the smaller pyramid is determined as 42.7 cm².

Learn more about base area of pyramids here: brainly.com/question/16060915

#SPJ4

Verdich [7]2 years ago
3 0

Answer:

42.7

Explanation:

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Given a particle that has the velocity v(t) = 3 cos(mt) = 3 cos (0.5t) meters, a. Find the acceleration at 3 seconds. b. Find th
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Answer:

a.\rm -1.49\ m/s^2.

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Explanation:

<u>Given:</u>

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<h2>(a):</h2>

The acceleration of the particle at a time is defined as the rate of change of velocity of the particle at that time.

\rm a = \dfrac{dv}{dt}\\=\dfrac{d}{dt}(3\cos(0.5\ t ))\\=3(-0.5\sin(0.5\ t.))\\=-1.5\sin(0.5\ t).

At time t = 3 seconds,

\rm a=-1.5\sin(0.5\times 3)=-1.49\ m/s^2.

<u>Note</u>:<em> The arguments of the sine is calculated in unit of radian and not in degree.</em>

<h2>(b):</h2>

The velocity of the particle at some is defined as the rate of change of the position of the particle.

\rm v = \dfrac{dr}{dt}.\\\therefore dr = vdt\Rightarrow \int dr=\int v\ dt.

For the time interval of 2 seconds,

\rm \int\limits^2_0 dr=\int\limits^2_0 v\ dt\\r(t=2)-r(t=0)=\int\limits^2_0 3\cos(0.5\ t)\ dt

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\Delta r=3\ \left (\dfrac{\sin(0.5\ t)}{0.05} \right )\limits^2_0\\=3\ \left (\dfrac{\sin(0.5\times 2)-sin(0.5\times 0)}{0.05} \right )\\=3\ \left (\dfrac{\sin(1.0)}{0.05} \right )\\=50.49\ m.

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Answer:

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Explanation:

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Speed = 100 ms^{-1}

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We know that the relationship between wavelength λ, frequency f and speed v is given by the equation

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