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3 years ago

Find the width of a rectangle with a length of 6 yd and a perimeter of 18 yd.

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

3 yd

Step-by-step explanation:

I have set up a equation based on the perimeter formula and the measurements given.

18 = 2(6 + w)

Solving for 'w', which would be the width:

$18=12+2w\\\\12+2w=18\\\\12-12-2w=18-12\\\\2w=6\\\\\frac{2w=6}{2}\\\\\boxed{w=3}$

The width should be 3 yd.

Hope this helps.

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Point A is located at (5, 10) and point B is located at (20, 25).

Alla [95]

Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at a ratio of 7, thus 3:7,

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------$

$\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10} \right)
\\\\\\
C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2} \right)$

8 0

3 years ago

Find the area of the shape shown below.

NeX [460]

Answer:

Step-by-step explanation:

4x2=8

8x2=16

8 0

3 years ago

Read 2 more answers

How do you solve -x/6 > 3?

Lerok [7]

Answer:

Using Math.

Step-by-step explanation:

You solve it using math.

See, you should have been more specific with your question, maybe said "What is the answer" not "How do I solve".

But I guess I'll help you out bro

Multiply both sides by 6

that gives you -x>18

then multiply both sides by -1

which means you gotta flip the sign

so final answer is x<-18

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3 years ago

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Andru [333]

The answer is 24.5 because $19-13 \frac{1}{2} = 5 \frac{1}{2}$ so you add 5.5 from 19 to get the answer

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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