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3 years ago

Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

Answer:

Step-by-step explanation:

A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.

The name of the prism given in question according to their arrangement from left to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.

Triangular prism is made up of 5 faces, 6 vertices and 9 edges

The trapezoidal prism is made up of 6 faces, 8 vertices and 12 edges

The pentagonal prism is made up of 7 faces, 10 vertices and 15 edges

The hexagonal prism is made up of 8 faces, 12 vertices and 18 edges

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A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1

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A recursive rule for a geometric sequence:

$a_1\\\\a_n=r\cdot a_{n-1}$

---------------------------------------------------

$a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}$

---------------------------------------------------

The exciplit rule:

$a_n=a_1r^{n-1}$

Substitute:

$a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}$

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490

Step-by-step explanation:

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2 years ago

A DVD player with a list price of $100 is marked down

dsp73

Answer:

$56

Step-by-step explanation:

100 - (100(0.30)) = 100 - 30 = 70

70 - (70(0.20)) = 70 - 14 = 56

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2 years ago

a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the

tangare [24]

Answer:

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Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

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2 years ago

What is the value of a(b - c) when b = 3, c = -3 and a = -2?

musickatia [10]

Answer:

-12

Step-by-step explanation:

a(b - c)

b = 3, c = -3 and a = -2

-2( 3- -3)

-2(3+3)

-2(6)

-12

4 0

3 years ago

Read 2 more answers