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2 years ago

Find the surface area of the cube

Mathematics

1 answer:

andre [41]2 years ago

4 0

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

$Area=6a^2$

Thus,

$Area=6a^2$

$Area=6(5)^2$

$Area=6(25)$

$Area=150$

Kavinsky

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Hat is the metric system prefix for the quantity 0.000 001?

mezya [45]

In the metric system, you give a name to the following multiples: 10, 100, 1000, 0.1, 0.01, 0.001, and then you skip three places. So, you have

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And thus 0.000001 of something is a micro-something (i.e. one millionth of a certain unit)

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3 years ago

if x is a positive integer, for how many dofferent values of x is square root 48 over x a whole number

Mazyrski [523]

Answer:

<h2>Therefore, for 3 values of 'x', the given fraction is a square. So, for those 3 values of 'x', the square root of the fraction will be a whole number. Thus, the answer is 3.</h2>

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3 years ago

The decimal 5.2323… is a(n) _____number. rational irrational integer whole

Semmy [17]

Answer:

it is a rational number

4 0

3 years ago

Read 2 more answers

Please help me with my homework <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b

Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

$(x + 9) {}^{5}$

write 5 as a sum

$(x + 9) {}^{3 + 2}$

$use \: a {}^{m + n} = a {}^{m} \times a {}^{n} to \: expand \: the \: expression.$

$(x + 9) {}^{3} \times (x + 9) {}^{2}$

Use (a+b)³=a³+3a²b+b³ to expand the expression

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times (x + 9) {}^{2}$

Use (a+b)²=a²+2ab+b² to the second expression to expand it

$(x {}^{3} + 27x {}^{2} + 243x + 729) \times(x {}^{2} + 18x + 81)$

Finally, simplify the expression gives

$x {}^{5} + 45x {}^{4} + 810x {}^{3} + 7290x {}^{2} + 32805x + 59049$

Hope it helps!

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2 years ago

Read 2 more answers

Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths

nadya68 [22]

Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256

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4 years ago