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alexgriva [62]
2 years ago
15

A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom sid

e of the die?
Mathematics
1 answer:
denis-greek [22]2 years ago
8 0
<h3>Answer:  5</h3>

Explanation:

This is something you could do by trial and error.

The visible numbers are 1,2,3,4,6 which multiply to 144.

Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.

Every other number 1,2,3,4,6 is a factor of 144.

1*144 = 144

2*72 = 144

3*48 = 144

4*36 = 144

6*24 = 144

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Answer:

(a) AD=6 cm

(b) 66 cm²

(c) 38 cm

Step-by-step explanation:

(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).

Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.

(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²

(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.

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Step-by-step explanation:

The given system is

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