Describe how the product of 0.4 x 2 would look on a ten-square grid.
1 answer:
<h3>Answer: 8</h3>
Explanation:
Draw out a 10 squares.
Shade in 4 of them to represent 4/10 = 0.40 = 0.4
Then use another color to shade another 4 squares. You should have 4+4 = 8 squares shaded, out of 10 total, giving 8/10 = 0.80 = 0.8
This is one visual way to see how 0.4 x 2 = 0.8
In other words, 0.4 x 2 means we have two copies of 0.4 added together. You could write it as 0.4 x 2 = 0.4 + 0.4 = 0.8 if you wanted.
See the diagram below.
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Answer:
The first set: 8, 15, and 17.
Step-by-step explanation:
<h3>Pair: 8, 15, 17</h3>By the pythagorean theorem, a triangle is a right triangle if and only if
.
In this case,
.
.
In other words, indeed . Hence, 8, 15, 17 does form a right triangle.
Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two
<h3>Pair: 10, 15, 20</h3>Factor out the common factor to simplify the calculations.
.
.
Hence, by the pythagorean theorem, these three sides don't form a right triangle.
<h3>Pair: 12, 18, 22</h3>.
.
.
Hence, by the pythagorean theorem, these three sides don't form a right triangle.
<h3>Pair: 7, 9, 11</h3>.
.
Hence, by the pythagorean theorem, these three sides don't form a right triangle.