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2 years ago

A pentigonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed ?

Mathematics

1 answer:

Sholpan [36]2 years ago

5 0

Answer:

In a right pentagonal prism, the bases are pentagons and the lateral faces are rectangles. If we take a cross-section perpendicular to the base, this same cross-section will be parallel to the lateral faces. This means it will be the same shape as the lateral faces, which is a rectangle.

Step-by-step explanation:

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Lena [83]

Rudy’s age today is 96.

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2 years ago

Solve for x in the equation X2-8x+41 = 0 -

djverab [1.8K]

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation ax² + b x + c = 0

The value of x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

∴ For equation x² - 8 x + 41 = 0

Or, x = $\frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}$

Or, x = $\frac{8\pm \sqrt{-100}}{2}$

Or, x = $\frac{8\pm 10i}{2}$

∴ x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D Answer

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3 years ago

How does the graph of g(x) = x+ 5 compare with the graph of the parent

vlada-n [284]

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

$f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}$

The graph would move f(x) five units up.

Hope this helps.

6 0

2 years ago

Read 2 more answers

A rain gutter is made from sheets of aluminum that are 16 inches wide by turning up the edges to form right angles. Determine th

blsea [12.9K]

Answer:

Depth of the rain gutter is 8 inches

Step-by-step explanation:

Let’s assume ‘x’ is the depth of the rain gutter

Then the width of the rain gutter can be written as 16 - 2x

Cross sectional area

A = depth x width

Substitute values

A = x*(16 - 2x)

A = 16x – 2x^2

Now according to axis of symmetry for maximum area x = -b/2a

x = -16/2*(-2)

x = 4 inches depth of rain gutter, substitute the value of x to get

Width of rain gutter 16 – 2(4) = 8 inches

Area of the rain gutter for maximum water flow

A = 4 * 8

A = 32 square inch.

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2 years ago

Describe each Locus

eduard

Explanation:

1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.

2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

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2 years ago