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dimulka [17.4K]
4 years ago
8

A net can be folded to form a cube. The numbers on the three faces meeting at any vertex can be multiplied together. What is the

smallest such product for the vertices of this cube

Mathematics
1 answer:
omeli [17]4 years ago
6 0
Folding this net, we will have this following pair of squares that are facing each other

the square with number 5 will face the square with number 10 = 5×10 = 50
the square with number 7 will face the square with number 6 = 7×6 = 42
the square with number 8 will face the square with number 9 = 8×9 = 72

The smallest product is 42


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A train leaves from station A at 10:40.
Ksivusya [100]

Answer:

it arrives at 1:45

Step-by-step explanation:

since it is 10:40, we will ad 3 hours, 11, 12, 1.

Then, we still have the 40, and will have to add the 5 minutes because of the 3 hours and 5 minutes.

Giving us, 1:45

8 0
2 years ago
Find two consecutive even integers such that twice the smaller is 26 less than. 3 times the smaller
Hoochie [10]

Answer:

Two consecutive even integers are 32 and 34.

Step-by-step explanation:

Let the two consecutive even integers are x and x+2.

ATQ,

Twice the smaller is 26 less than. 3 times the smaller

2x = 3(x-2) -26

2x = 3x-6-26

2x = 3x -32

32 = 3x-2x

x = 32

Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.

3 0
3 years ago
Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL
drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL.  This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML.  Then, FM + ML = FL

<u>FM</u>

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = \frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}

<u>ML</u>

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = \frac{a\sqrt{2} }{2} , so KL = \frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}  

<u>FM + ML = FL</u>

(\frac{3}{3})\frac{a\sqrt{2}  }{2} + \frac{a\sqrt{6}  }{6}

= \frac{3a\sqrt{2} + a\sqrt{6} }{6}

8 0
3 years ago
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Can someone please help me with my math asap​
Margarita [4]

Answer:

A) 15x - 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

5x(3 - 12x) - 3(4 - 20x²)

<u>Step 2: Simplify</u>

  1. Distribute:                         15x - 60x² - 12 + 60x²
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8 0
3 years ago
Y = 10 is a solution for 7(x + 9) = 132
12345 [234]

Answer:

its close 9.45

Step-by-step explanation:

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7x=132-63

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x=69/7

x=9.45

8 0
3 years ago
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