Evan put a 2-pound weight on one side of the scale. How many 1-ounce weights will he need to put on the other side of the scale
2 answers:
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The graph of is a horizontal line. So the area under
on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.
The graph of is the upper half of a circle with radius
. It's symmetric about
, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is
.
Then use the fact that the definite integral is distributive over sums, meaning
Answer: The both triangle are not scale version to each other.
Explanation:
It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.
The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.
The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.
The proportion of small side is,
The proportion of large side is,
So,
Since the proportion are not equal, therefore both triangle are not scale version to each other.