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True [87]
3 years ago
14

A rectangle has a length x centimeters and a width that is equal to half its length. The perimeter of the rectangle is 50 centim

etres. What is the length and width of the rectangle?
no links just answer the question with a clear explanation and I'll give you brainly
Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0
The length is 18 cm and the width is 9cm
dusya [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Let x = length

Then width = (1/2)x

Perimeter = 2(length) + 2(width) = 54

                  length + width = 27

So, x + (1/2)x = 27

           (3/2)x = 27

                 x = 27(2/3) = 18     (1/2)x = 9

Answer:  length = 18 cm and width = 9 cm

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The mean is the average.
Add all the number of pets and divide by how many people there were.
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son4ous [18]

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sheeesh 69

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3 0
3 years ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
1 year ago
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