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krok68 [10]
3 years ago
10

2. The hundredths model is shaded to represent a division

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

If the whole grid is considered to be 1,

Each small grid will value = \frac{1}{100}=0.01

There are 72 shaded grids which represent the hundreds = 0.72

When these grids have been divided into 9 equal rows, number of grids in each row = 8

And the value of 8 grids in each row = 0.01 × 8 = 0.08

So the equation is,

0.72 ÷ 9 = 0.08

Therefore, equation represented by the model will be Option (D).

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The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

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188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
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