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tamaranim1 [39]
3 years ago
12

Last year, a widget factory produced one million, twelve thousand, sixty widgets. What is this number written in standard form?

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0
1,012,060 is the number in standard form.
aleksandr82 [10.1K]3 years ago
6 0
Someone already said the answer but I'm going to elaborate so you understand why it's that answer, when it says "one million" it means this number - 1,000,000. When it says "twelve thousand" it means this number - 12,000. When it says "sixty" it means this number - 60.

Let's combine all of those numbers to get its standard form:
1,000,000
12,000
60
+
_________
1,012,060
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Find the separate areas.

We have a triangle with base 5 cm and height 5 cm, calculate the area:

\sf A=\dfrac{1}{2}bh

Plug in what we know:

\sf A=\dfrac{1}{2}(5)(5)

Multiply:

\sf A=12.5~cm^2

Now for the two quarter circles, we know that if we put these two together we will end up with a semi-circle with radius 5 cm. The formula for the area of a circle is:

\sf A=\pi r^2

A semi-circle is half of a whole circle, so the formula for the area of it must be:

\sf A=\dfrac{1}{2}\pi r^2

Now plug in what we know(use 3.14 to approximate for pi):

\sf A\approx\dfrac{1}{2}(3.14)(5)^2

Simplify the exponent:

\sf A\approx\dfrac{1}{2}(3.14)(25)

Multiply:

\sf A\approx 39.25~cm^2

Now add this to the area of the triangle to find the approximate area of the entire figure(round to the nearest tenth):

\sf 39.25+12.5=\boxed{\sf 51.8~cm^2}
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