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2 years ago

Which solid has exactly five of planes of symmetry?

Mathematics

2 answers:

lisabon 2012 [21]2 years ago

5 0

Answer:

Square Prism

Step-by-step explanation:

The cone has infinitely many planes of symmetry through its axis.

The Square Pyramid has 4 planes of symmetry, each one intersecting the apex and one of the 4 lines of symmetry of the square base.

The (isosceles) Triangular Prism has a plane of symmetry through the altitudes of each triangular face, and another bisecting and perpendicular to the long edges. (2 planes total)

The Square Prism has 4 planes of symmetry through the lines of symmetry of each square end (each of those planes contains the corresponding lines in both faces, so is perpendicular to the square end). It has a 5th plane of symmetry that bisects all of the long edges of the prism (and is parallel to the square ends). (5 planes total)

DochEvi [55]2 years ago

3 0

Answer:

The Square Prism

Step-by-step explanation:

See attached graphic.

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WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

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take y to be 3, then substitute:

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1 year ago

10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation

Gwar [14]

Answer:

The parasailor height is 47ft

Step-by-step explanation:

We can think of the problem as a right triangle, the string would be the hypotenuse and the height of the parasailor would be a leg.

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 36°

a: adjacent

o: opposite = ?

h: hypotenuse = 80ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

is the sine

sin α = o/h

sin 36° = o/80

sin 36° * 80 = o

47.02 = o

if we round to the nearest tenth

47.02 = 47.0

The parasailor height is 47ft

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1 year ago

F(x)=x^3-9x g(x)=x^2-2x-3 What is f(x)/g(x), if x>3

Otrada [13]

Your answer is 9f/g. Hope it helps

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1 year ago

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The blue segment below is a diameter of O. What is the length of the radius of the circle?

nexus9112 [7]

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