To find the constant variation, solve for only one hour (in this case).
Divide 100 with 2
100/2 = 50/1
Each hour is 50 miles driven, so your constant variation is 50 mph
Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.
<h3>Working with changes of scale.</h3>
So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:
1cm = 4m
First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.
If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.
The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.
So the correct option is the first graph.
If you want to learn more about changes of scale, you can read:
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Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
We have that the value of x in the diagram at the right is
x=109
From the question we are told
Use this idea to find the value of x in the diagram at right.
From The diagram we have a Triangle with its base angles equal
Generally the equation for the Triangle is mathematically given as
180=2b+y
Where
b=Base angles
Since Angle on a straight line is 90
Therefore
180=71+x
x=109
In conclusion
The value of x in the diagram at the right is
x=109
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A=12
120% of a =80% of b
120%a = 80%b
120a/100 = 80b/100
Divide through by 100
120a = 80b
Divide through by 80
120a/80 = b
But a=12
120x 12/80 = b
18 = b
b = 18
a+b = 12 + 18 = 30
