The '4' marked in the cut-out must be its width, because it can't be the height ... the height of the cut-out must be 3. / / / The area of the entire big rectangle is 12 x 14 = 168. The area of the little cut-out is 4 x 3 = 12. The area left is 168 - 12 = 154 ./ / / By the way ... if you're not getting many answers, it's because your drawings are unreadable. Put away the big orange marker and use a ballpoint pen instead.
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
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<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Answer:
2,250,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
Change into improper fraction
In its decimal form, it says ' 64 / 100 '.
In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '.
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.
The common factors of 64 and 100 are 1, 2, and 4 .
We could divide top and bottom by 2, but that wouldn't finish the job.
It's always best to divide them by their <u>greatest</u> common factor, and
once you do that, you're done.
Dividing the numerator and denominator both by 4,
we get the fraction in its lowest terms:
0.64 = 64/100 = <em>16/25</em>
