346772.99378 x 222222666886=

Usimov [2.4K]

I think the answer is x equals 21

5 0

4 years ago

Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

adoni [48]

Answer:

y = -2/3x - 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$

umka2103 [35]

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

<h3>How to determine the percentage?</h3>

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

<u>Note:</u> With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 ≈ 56%.

Read more on area of square here: brainly.com/question/8902873

#SPJ1

Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

3 0

2 years ago

1<br> The coefficient of x2 in the expansion of 2x +1 by 3 whole square

posledela

Answer:

1 +6 x + 12 x 2 + 8x 3

Explanation:

We must use our knowledge of the binomial expansion:

Method 1:

We can use:

(

x

+

1

)

n

=

1

+

n

x

+

n

(

n

−

1

)

2

!

x

2

+

n

(

n

−

1

)

(

n

−

2

)

3

!

x

3

+

...

Substituting

n

=

3

and

x

for

2

x

⇒

(

2

x

+

1

)

3

=

1

+

(

3

⋅

2

x

)

+

3

⋅

2

!

⋅

(

2

x

)

2

+

3

⋅

2

⋅

1

3

!

⋅

(

2

x

)

3

=

1

+

6

x

+

12

x

2

+

8

x

3

Method 2:

We can use:

(

A

+

B

)

n

=

A

n

+

(

n

1

)

A

n

−

1

B

1

+

(

n

2

)

A

n

−

2

B

2

+

...

Letting

A

=

2

x

and

B

=

1

for this circumstance:

(

2

x

+

1

)

3

=

(

2

x

)

3

+

(

3

1

)

(

2

x

)

2

(

1

)

+

(

3

2

)

(

2

x

)

1

(

1

)

2

+

(

3

)

(

2

x

)

0

(

1

)

3

=

8

x

3

+

12

x

2

+

6

x

+

1

Step-by-step explanation:

6 0

3 years ago

The amount of money a worker makes varies directly with the hourly rate of pay. Worker A earns $168 for an 8 hour period. Worker

Nataly_w [17]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{money varies directly with hourly rate of pay}\qquad \stackrel{money}{m}=k\stackrel{hour~pay}{h}
\\\\\\
\textit{we also know that }
\begin{cases}
m=168\\
h=8
\end{cases}\implies 168=k8\implies \cfrac{168}{8}=k
\\\\\\
21=k\qquad therefore\qquad \boxed{m=21h}
\\\\\\
\textit{now, when h = 6, what is \underline{m}?}\qquad m=21(6)$

3 0

3 years ago