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3 years ago

A cube with an edge length of 4 inches is

1 answer:

5 0

The surface area of a cube is calculated through the equation,
SA = 6s²
For the first cube, with an edge length of 4 inches, the surface area is,
SA = 6(4 in)² = 96 in²
This is the total area covered by paint. Then, cutting large cube into 64 cubes with 1-inch edge length will give us a total surface area of,
SA₂ = 64 x 6 x (1 in)² = 384 in²
To answer the question above, we simply divide SA by SA₂ and multiply the quotient by 100%
((96 in²)/(384 in²)) x 100% = 25%
Therefore, only 25% of the total surface area is now painted.

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MariettaO [177]

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3 years ago

The snow on a market roof has a density of 100kg/m3 and is 0.2 deep. That roof is 20 m wide and 40 m long. What is the load of t

Likurg_2 [28]

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3 years ago

An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (s = 16t2)

FromTheMoon [43]

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3 years ago

Algebra 1 please help!! 35 points!!!

Zanzabum

Answer:

x intercept: 5

y intercept: 50

Step-by-step explanation:

let us plot the graph for better understanding.

we will represent f(x) on y-axis so, the equation will become: y= 50-10x

the equation is of the form : y=mx+c

[where, m: slope of the line

c : y-intercept ]

meaning of x intercept: the x-coordinate of the point where the line meets x-axis

meaning of y intercept: the y-coordinate of the point where the line meets y-axis

the line y= 50-10x has slope of -10 and it passes through (0,50)

[ (0,50) lies on the line only. substitute and check if the point satisfies the above line equation]

by seeing the graph in the attachment and by the definitions given above, we can say that,

x intercept: 5

y intercept: 50

4 0

3 years ago

49*32’55” + 37*27’15” = ?

MrRissso [65]

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' + 1' + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

6 0

3 years ago