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Archy [21]
3 years ago
9

Why is the product of two rational numbers always rational? select from the drop-down menus to correctly complete the proof?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Getting the product of two rationals is like multiplying two fractions, which will have another fraction of this alike form as the result because integers are sealed under multiplication. All rational number can be signified as q/r, with q and r are both integers. Another explanation is the product of two rational numbers is q/r * s/t, with q, r, s, and t are integers. Nonetheless, this is just (qs)/(rt), and qs and rt are both results of integers and hence integers themselves. The product of two rational numbers can be characterized as the quotient of two integers and is itself rational. Therefore, multiplying two rational numbers yields another rational number.

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3 years ago
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What is the product of 187 x 70?
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2 years ago
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t
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Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

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Total surface area; S_t = S1 + S2

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S_t = 1.8425 m²

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3 years ago
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Answer:

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For each of her snack bag, she can fill it with a 1/3 cup of pretzels

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