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Aneli [31]
2 years ago
6

The perimeter of a rectangle is 13cm and its width is 11/4. find its length.

Mathematics
1 answer:
enyata [817]2 years ago
6 0
Perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

13 = 2l +2* \frac{11}{4}

13 = 2l + \frac{2}{1} * \frac{11}{4}

13 = 2l + \frac{22}{4}     (subtract 22/4 from each side)

13 -\frac{22}{4} = 2l

13 -\frac{11}{2} = 2l

\frac{26}{2}  -\frac{11}{2} = 2l

\frac{15}{2}} = 2l

7.5 = 2l    (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or 3 \frac{3}{4}


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Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are (x_{1},y_{1}) and (x_{2},y_{2}), then x=\frac{x_{1}+x_{2}}{2} and  y=\frac{y_{1}+y_{2}}{2}

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴  x_{1} = -6 and  y_{1} = 1

∵ The coordinates of L are (-4 , 3)

∴  x_{2} = -4 and  y_{2} = 3

Lets use the rule above to find the mid-point of JL

∵ x=\frac{-6+-4}{2}=\frac{-10}{2}

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ y=\frac{1+3}{2}=\frac{4}{2}

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

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7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAs
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Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

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First of all, we will find the z-score of the given value

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