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3 years ago

A rectangle is ( x + 6 ) meters long and ( 2 x − 1 ) meters wide. Which expression represents the PERIMETER of the rectangle?

Mathematics

2 answers:

oee [108]3 years ago

5 0

Answer:

P = 6x + 10

Step-by-step explanation:

Perimeter of a rectangle

= 2(L + W)

Where L = length

W = width

Given

L= (x + 6)

W =(2x - 1)

Perimeter = 2( x+6 + 2x -1)

Simplify the bracket first

P = 2(x + 2x +6 - 1)

P = 2(3x + 5)

Now , expand the bracket

P = 2 x 3x + 2 x 5

P = 6x + 10

Furkat [3]3 years ago

4 0

Answer:

6x +10

Step-by-step explanation:

Perimeter = 2*(length + width)

= 2* (x+6 + 2x-1)

=2*(3x +5)

=2*3x + 2*5

=6x + 10

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A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

madreJ [45]

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

$d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12$

The radius is 12.

So the circumference of the circle is $C = 2\pi r = 2\pi 12 = 24\pi = 75.36$

So the area of the circle is $A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16$

6 0

3 years ago

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

Oxana [17]

Answer:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

Step-by-step explanation:

Given that:

Kevin charges $10 plus $5 per hours

C = 5h + 10

To find:

The table of values for hours worked from 1 to 5.

Solution:

First of all, let us put h = 1 in the given equation:

C = 5 \times 1 + 10

C = 5 + 10 = $15

Now, let us put h = 2 in the given equation:

C = 5 \times 2 + 10

C = 10 + 10 = $20

Now, let us put h = 3 in the given equation:

C = 5 \times 3 + 10

C = 15 + 10 = $25

Now, let us put h = 4 in the given equation:

C = 5 \times 4 + 10

C = 20 + 10 = $30

Now, let us put h = 5 in the given equation:

C = 5 \times 5 + 10

C = 25 + 10 = $35

So, the table becomes each row incrementing h by 1:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

8 0

3 years ago

3. The triangles are similar. Find the value of x.

BlackZzzverrR [31]

Answer:

yeah

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the distance between (-5,5) and (2,6) rounding to the nearest hundred

ExtremeBDS [4]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -5}}\quad ,&{{ 5}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ 6}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[2-(-5)]^2+[6-5]^2}\implies d=\sqrt{(2+5)^2+(6-5)^2}
\\\\\\
d=\sqrt{7^2+1^2}\implies d=\sqrt{50}$

5 0

3 years ago

the usual price of a shirt is £32.50 in a sale the shower is reduced to £29.25 what is the percentage reduction

bija089 [108]

Answer: 10 %

Step-by-step explanation:

Reduction is

32.50 − 29.25 = 3.25 pound sterling

Reduction % is

3.25/32.5 ⋅ 100 = 10%

7 0

3 years ago

Read 2 more answers