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Zina [86]
4 years ago
5

The length of a rectangle is 5 yd less than double the width, and the area of the rectangle is 52 yd2 . find the dimensions of t

he rectangle.
Mathematics
1 answer:
charle [14.2K]4 years ago
3 0
The dimensions are: 4 x 13
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What is the least natural number which when divided by 3,5,6,8,10 and 12 leaves in each case remainder 2 but when divided by 13
bazaltina [42]

Answer:

962

Step-by-step explanation:

MMM for step by step its kinda just plug and check

962/3 = 320 R2

962/6 = 160 R2

962/8 = 120 R2

962/10 = 96 R2

962/12 = 80 R2

and finally 962/13 = 74

4 0
2 years ago
Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
scZoUnD [109]

Answer:

The line x = 8 is our vertical asymptote

The limit of \frac{1}{x-8} as x approaches 8 from the left is negative infinity; -∞

Step-by-step explanation:

We have been given the following function;

\frac{1}{x-8}

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;

That is the function will not be defined where;

x - 8 = 0

solving for x yields;

x = 8

The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,

The line x = 8 is our vertical asymptote for the given function

The limit of \frac{1}{x-8} as x approaches 8 from the left;

\lim_{x \to8^{-} }\frac{1}{x-8}

For x approaching 8 from the left, x which implies that x-8

The denominator will be a negative quantity approaching 0 from the left, that is -∞.

Thus;

\lim_{x \to8^{-} }\frac{1}{x-8} = -∞

Find the graph attached.

6 0
4 years ago
Find the area for both. The TRIANGLE looking one is the first one!!
Rudiy27
The first one is b the second one is b too

4 0
4 years ago
A clothing store can make 4 dress shirts out of 14 yards of cotton cloth. At that rate, how many dress shirts can be made out of
madreJ [45]
4/14 = x/63
14x = 4*63
14x = 252
x = 18 dress shirts

Check
4/14 = 0.286
18/63 = 0.286
7 0
2 years ago
Amanda cut a piece of wood that was 10/12 of a yard long. She used 3/4 of the wood how many yards of wood were left over
Nadya [2.5K]
The wood is 10/12 yard long.

She used 3/4 of the wood:
\dfrac{3}{4}  \times  \dfrac{10}{12}

\dfrac{3}{4}  \times  \dfrac{2 \times 5}{3 \times 4}

\dfrac{3}{8} \text { yard}

Calculate yards left:

\dfrac{10}{12} - \dfrac{3}{8}

=  \dfrac{20}{24} - \dfrac{9}{24}

=  \dfrac{11}{24} \text { yard left}


6 0
3 years ago
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