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Gennadij [26K]
3 years ago
8

To finish a project, you need to paint the lateral surfaces of a cube with side length 2.5 inches. Find the area that you need t

o paint.
Mathematics
1 answer:
valentina_108 [34]3 years ago
6 0

Answer:

25 in^2

Step-by-step explanation:

We want to find the lateral surface area of the cube.

The lateral surface area of a cube is given as:

A = 4a^2

where a = length of side of the cube

Therefore, given that the length of the side of the cube is 2.5 inches, the area you need to paint is:

A = 4 * 2.5^2\\A = 25 in^2

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Seven increased by the<br> product of two numbers
Kobotan [32]

Answer: x ≥ 5

Step-by-step explanation:

7 is increased by the product of a number and 3:  7 + 3x

Is at least 22:  ≥ 22

 

Your equation is: 7 + 3x ≥ 22

subtract 7 from both sides

3x ≥ 15

divide both sides by 3

x ≥ 5

8 0
3 years ago
When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a parti
Kamila [148]

Answer:

0.226

Step-by-step explanation:

Given that:

No wing crack (x) = 70%

Detectable wing crack (y) = 25%

Critical wing crack (z) = 5%

Number of samples (n) = 5

Probability that atleast a plane has critical crack:

1 - p(no critical crack)

Using the multinomial distribution calculator :

P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0)

From the calculator :

P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0) = 0.7741

1 - 0.7741 = 0.2259

= 0.226

7 0
3 years ago
In the diagram which two angles are corresponding angles with angle 12?
Aleks04 [339]
Corresponding angles:
8< and <16

hope it helps
4 0
3 years ago
Read 2 more answers
HELP ASAPP!!!! PLZZZ
liberstina [14]

Answer:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4

7 0
3 years ago
In a photograph, a house is 4 inches wide and 6 inches tall. The photograph is enlarged while keeping proportional dimensions, a
AlekseyPX

Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height h, the preservation of the width/height ratio is written as


4 \div 6 = 9 \div h


Solving the proportion for h yields


h = \frac{6\cdot 9}{4} =\frac{3\cdot 9}{2} = \frac{27}{2} = 13.5

6 0
3 years ago
Read 2 more answers
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