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kow [346]
3 years ago
7

A 3x4x5 rectangular cuboid (e.g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sid

es of a randomly selected cube?
Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

8 cubes are painted on 3 sides

24 cubes are painted on 2 sides

22 cubes are painted on 1 sides

6 cubes are painted on 0 side

E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567

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Find two consecutive odd integers such that the sum of their squares is 34
AfilCa [17]

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

4 0
3 years ago
Lucy's house cost £200 000 at the start of 2014, the value of the house increased every year by 5%, work out the value of her ho
liq [111]

Answer:

212000

Step-by-step explanation:

120000 - 5% = 190000

hence 5% is 10000

120000+ 30000= 212000

8 0
3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
A recipe for a smoothie calls for 0.75 pound of strawberries. If Kerry has 31.5 pounds of strawberries, how many batches of the
vodomira [7]

42 batches. 31.5 divided by .75 = 42.

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3 years ago
Which graph matches the equation y+ 6 = =+
Elden [556K]

Answer:

Its A

Step-by-step explanation:

3 0
3 years ago
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