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geniusboy [140]
3 years ago
13

The diagram shows a trapezium PQRS. Find the length of side PQ, in cm​

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

30 cm.

Step-by-step explanation:

Draw a line from R perpendicular to PQ to meet PQ at T.

RQT forms a right-angled triangle  with RT = SP = 15.

So tan 36.87 = RT / TQ

tan 36.87 =  15 / TQ

TQ = 15 / tan 36.87

=  20 cm.

Now  PT = SR = 10, so

PQ = 10 + 20

= 30 cm.

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Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x_{1}, y_{1} ) and (x_{2}, y_{2} ), to calculate the change in y over the change in x.

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} }     where

x_{1} = 1

y_{1} = 0

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y_{2} = 8

Substituting the values,

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

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7 0
2 years ago
Latoya earns $1.75 an hous for each child she baby-sits. How much does she earn if she baby-sits 3 children for 4 hours?
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Answer:

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1. WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the
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Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

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Step-by-step explanation:

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Now, we need to find the find the equation to represent  the distance,<em>d</em>,

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