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3 years ago

PERMUTATION:

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Answer:

Step-by-step explanation:

It can be a one digit no.

2C1 = 2 (only two even options available)

It can be a 2 digit no.

_ _

The last digit has to be even for the no. to be even.

2C1 × 4C1 = 8 (2C1 for the last digit, 4C1 for the first)

It can be a 3 digit no.

_ _ _

First digit has to be less than 5 to be less than 500, and the last digit has to be even.

1) 2/4 _ 4

2C1 × 3C1 = 6 (2C1 to choose between 2 and 4, 3C1 for the second digit)

2) 1/3 _ 2/4

2C1 × 3C1 × 2C1 = 12 (2C1 to choose between 1 and 3, 3C1 for the second digit, 2C1 to choose between 2 and 4)

Total = 2 + 8 + (6 + 12)

= 28

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Ann = 3 CD's

Ann = 2x-3

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2 years ago

A rectangle width is one fourth it’s length, outs are is 9 square units. The equation I(1/4I)=9 can be used to find I, the lengt

OlgaM077 [116]

Answer:

The length of rectangle is 6 units and the width is 1.5 units

Step-by-step explanation:

Let

L -----> the length of rectangle

W ----> the width of rectangle

we know that

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$A=LW$

we have

$A=9\ units^{2}$

$9=LW$ -----> equation A

A rectangle width is one fourth it’s length

$W=\frac{1}{4}L$ ----> equation B

substitute equation B in equation A and solve for L

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3 years ago

A figure in the first quadrant is rotated 180 counterclockwise about the origin. Which quadrant will the rotated figure appear?

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2 years ago

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2 years ago

PLEASE HELP ME WITH THIS THANKS

kotykmax [81]

Answer:

SA = 1244.64 square centimeters

Step-by-step explanation:

From the attached figure

The formula of the surface area of the prism is SA = 2B + PH, where

B is the area of its base
P is the perimeter of its base
H is the distance between its bases

The base of the prism is a regular hexagon with side 8 cm

If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm

The area of the hexagon = 6 × area of a triangle

∵ The base of the triangle = 8 cm

∵ Its height = 6.93 cm

- The formula of the area of a triangle is A = $\frac{1}{2}$ × base × height

∴ Area of the triangle = $\frac{1}{2}$ × 8 × 6.93 = 27.72 cm²

- Lets find the area of the hexagon

∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²

∴ B = 166.32 cm²

The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side

∵ The side of the hexagon is 8 cm

∴ P = 6 × 8

∴ P = 48 cm

∵ The distance between the two bases is 19 cm

∴ H = 19 cm

Substitute the values of B, P and H in the formula of the surface area above

∵ SA = 2(166.32) + (48)(19)

∴ SA = 332.64 + 912

∴ SA = 1244.64 square centimeters

7 0

2 years ago