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One case of books weighs 35 pounds one case of magazine weighs 23 pounds a bookstore wants to ship 72 cases of books and 94 case
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we know that
m∠SQR+x= -------> by supplementary angles
so
m∠SQR=
The sum of the internal angles of a triangle is equal to degrees
m∠SQR+m∠QSR+m∠SRQ=
substitute the values in the formula
m∠SQR++
=
m∠SQR= degrees
<u>Find the value of x</u>
m∠SQR=
x=-m∠SQR
x=
x= degrees
therefore
<u>the answer is</u>
the value of x is degrees
Considering the definition of scale, you obtain:
- the real length of the road is 500,000 km.
- the real area of the farm is 300 hectares.
A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.
<h3>Definition of scale</h3>The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.
That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.
<h3>Real length of the road</h3>A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.
You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).
Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?
<u><em>real length of the road= 500,000 km</em></u>
Finally, the real length of the road is 500,000 km.
<h3>Real area of the farm</h3>You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).
Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?
<u><em>real area of the farm= 300 hectares</em></u>
Finally, the real area of the farm is 300 hectares.
<h3>Summary</h3>In summary, you get:
- the real length of the road is 500,000 km.
- the real area of the farm is 300 hectares.
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The graph that best represent the relationship between time and cost is option A as it is a proportional graph
<h3>How to know the graph that represent the relationship between time and number of team?</h3>Each week 6 teams register to participate.
Therefore, for every week 6 team register to participate in the competition.
This simply implies as time increases , the number of participant in the competition also increase.
Therefore, the equation that can be use to represent this situation is as follows:
y = 6x
where
- y = number of team registered
- x = time in weeks.
Hence, the graph that best represent the relationship between time and cost is option A as it is a proportional graph. The registered team increases as the time in weeks increase.
learn more on graph relationship here: brainly.com/question/12812258
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