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3 years ago

Find the area of the regular 15-gon with a 7 mm radius

Mathematics

1 answer:

Blizzard [7]3 years ago

4 0

Answer:

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Andre wants to put a carpet down on a circular room that has a diameter of 14 feet

Fantom [35]

Answer:

49 pi

Step-by-step explanation:

I'll assume you want to know how big the carpet is. You need to find the area of the room, which is a circle. The area of a circle is given as pi*r^2, where r is the radius. The diameter is twice the radius, so as the problem gives us a diameter of 14, the radius would be 7. Plug in 7 for r, and we get 49pi.

3 0

3 years ago

1. 8x + 5 and 10x-3 <br><br><br> Simplify the expression

V125BC [204]

Answer:

x=4

Step-by-step explanation:

8x+5=10x-3

+3. +3

8x+8=10x

-8. -8

8=2x

/2. /2

x=4

6 0

3 years ago

Read 2 more answers

Could someone please answer this who actually knows how to do it please??!

posledela

Answer:

x+y= 59, x-y= -13

Step-by-step explanation:

We know that x is the smaller number and y is the bigger number. We also know that the difference is 13, meaning x-y= -13. Since the sum of the two numbers is 59, x+y= 59

8 0

2 years ago

Read 2 more answers

The game of Connex contains one 4-unit piece, two identical 3-unit pieces, three identical 2-unit pieces and four identical 1-un

Aleks [24]

Answer: 277 ways

Step-by-step explanation:

Let’s start bycreating 10-unit pieces using the 4-unit piece.

The arrangements are:

1). 4-3-3 (3 permutations)

2). 4-3-2-1 = 4! = 24 permutations.

3). 4-3-1-1-1 (5*[4!/(3!1!)]

= 5*4

= 20permutations

4). 4-2-2-2 (4 permutations)

5). 4-2-2-1-1 (5 *[4!/(2!2!)]

= 5*6

= 30 permutations

6). 4-2-1-1-1-1(6*[5!/(4!1!)]

= 6*5

= 30 permutations

Let’s-consider the arrangements using one or more3-unit pieces and no 4-unit piece:

7). 3-3-2-2 (4!/(2!2!)

8). 3-3-2-1-1 (5*(4!/(2!2!)

= 5*6

= 30 permutations.

9). 3-3-1-1-1-1 (6!/(4!2!) = 0

10). 3-2-2-2-1 (5*4!/(3!1!)

= 5*4

= 20permutations

11). 3-2-2-1-1-1 (6*5!/(3!2!)

= 6*10

= 60 permutations

Finally we would look at the arrangements using only 1-and 2-unit pieces:

12). 2-2-2-1-1-1-1 (7!/(4!3!)

= 35 permutations

add them all up:

(3 + 24 + 20 + 4) + (30 + 30 + 6 + 30) + (15 + 20 + 60 + 35)

=51 + 96 + 130

= 277ways

5 0

2 years ago

A quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) . Find the equation for the line (axis) of symmetry

ra1l [238]

Answer:

The equation for the axis of symmetry is x=1.5.

Step-by-step explanation:

It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .

In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.

If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

$x=\frac{a+b}{2}$

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.

$x=\frac{-5+8}{2}$

$x=\frac{3}{2}$

$x=1.5$

Therefore the equation for the axis of symmetry is x=1.5.

8 0

3 years ago