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suter [353]
2 years ago
12

Set up an equation and solve the following

Mathematics
1 answer:
jolli1 [7]2 years ago
5 0

Here's an answer! :)

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Answer while showing work I need u to show ur work and answer
skad [1K]

Answer:

7cm

Step-by-step explanation:

One side of a square is increased by 8 cm, let us say the length got increased by 8 cm. So we have length of x + 8 cm

An adjacent side, the width, decreased by 2 cm. So we have width of x - 2cm

Perimeter of rectangle = 2(length + width)

40 = 2( (x + 8) + ( x - 2) )

40 = 2( 2x + 6)

40 = 4x + 12

28 = 4x

x = 7 cm

That is 7 cm of the length of the side of the square

4 0
3 years ago
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth
EleoNora [17]
Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&Q&(~ 8 &,& 8~) 
%  (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10

and let's also find the length for ST

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&S&(~ 20 &,& 16~) 
%  (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0
3 years ago
Read 2 more answers
Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers to ten . Give an example t
poizon [28]

Place value is the value individual digit has in its location: in order from higher to lower value, there is thousands, hundreds, tens, and ones.
When you divide by 10, you are affecting (only once) every digit from its current place value to the right.
For example 1000 divided by 10 = 100, you have relocated every digit to the right, making the zero dissolve (or better yet, divided by a hidden and in this case unusable comma).

5 0
3 years ago
How to solve 14x + 2 = 6 (x - 0)
Sergeu [11.5K]

Answer:

Has not solution.

Step-by-step explanation:

14x÷2 = 6(x - 0)

14x÷2 = 6*x + 6*-0

14x÷2 = 6x - 0

14x = 2*6x

14x ≠ 12x

then:

This equation has not solution.

8 0
3 years ago
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 8 percent simple interest per year. S
daser333 [38]
The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700, 
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664  yay!
8 0
3 years ago
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