Name the five Platonic Solids. For each, give the name of the shape of the face and list the number of faces.

a. Solid:_______________ Shape of faces:_______________ Number of faces:_______________
b. Solid:_______________ Shape of faces:_______________ Number of faces:_______________
c. Solid:_______________ Shape of faces:_______________ Number of faces:_______________
d. Solid:_______________ Shape of faces:_______________ Number of faces:_______________
e. Solid:_______________ Shape of faces:_______________ Number of faces:_______________


(a) Solid: Tetrahedron Shape of faces: Triangle Number of faces: 4
(b) Solid: Cube Shape of faces: Square Number of faces: 6
(c) Solid: Octahedron Shape of faces: Triangle Number of faces: 8
(d) Solid: Dodecahedron Shape of faces: Pentagon Number of faces: 12
(e) Solid: Icosahedron Shape of faces: Triangle Number of faces: 20

Mathematics

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Solve the problem.Mr. Payne's salary last year was a palindromic, 7-digit amount, say  satisfying these conditions:a + b ? e + f; a = (b + e) - 8;if c were decreased by 2, the difference would equal the sum of f and d; d = 2; and all of the numbers are multiples of 2.What was Mr. Payne's salary last year?

A. $6,642,466 B. $4,462,644 C. $4,482,844 D. $2,462,642

Mathematics

Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. x + 9y = 312x + 9y = 26

A. No solution, inconsistent B. (-4, -5) C. (5, 3) D. (-5, 4)

Mathematics

Evaluate the integral. dx

A. 4(sin-1 x)3 + C
B. (cos-1 x)5 + C
C.  + C
D.  + C

Mathematics

Use a calculator to find the function value to four decimal places.cos (-405°)

A. 0.7071 B. 0.9659 C. -0.7071 D. 0.2588

Mathematics