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3 years ago

The expression below can be used to find the surface area of a cube when given the length of an edge, a.

Mathematics

2 answers:

umka21 [38]3 years ago

8 0

Answer:

Step-by-step explanation:

Substitute <em>a = 0.5 cm</em> to the formula <em>SA = 6a² </em>:

laiz [17]3 years ago

4 0

a = edge length = 0.5 cm

S = surface area of cube

S = 6*a^2

S = 6*(0.5)^2

S = 6*0.25

S = 1.5

<h3>The surface area of the cube is 1.5 square cm</h3>

You can use cm^2 in place of "square cm" to mean the same thing.

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Describe the outlier boundaries for the data set.

denis23 [38]

Step-by-step explanation:

Who's only here for points jk, all you have to do is 34

because it's the only smallest number there

4 0

3 years ago

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. Write an inequality to find the the

viva [34]

90 < [( n + n + 2 + n + 4) / 2] < 105

90 < (3n + 6) / 2 < 105

3n + 6 > 180 and 3n + 6 < 210

n > 58 , n < 68

58 < n < 68 answer

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3 years ago

(x^2−1)(3x−4)(3x+4) what is the product

Andrei [34K]

Answer:

9x^4-25x^2+16

Step-by-step explanation:

(x^2−1)(3x−4)(3x+4)=(*)

(x^2−1)((3x)^2−4^2) =

(x^2 - 1)(9x^2-16)=

x^2*9x^2 - x^2*16 - 1*9x^2 +16=

9x^4-16x^2-9x^2+16=

9x^4-25x^2+16

(*) (A-B)(A+B) =A^2 - B^2

6 0

3 years ago

What is the width of a rectangle with length 14cm and area 161 cm^2

Inessa05 [86]

Answer:

Step-by-step explanation:

The area of a rectangle can be found with the formula $A = l*w$ , where $l$ is the length of the rectangle and $w$ is the width.

From the given problem statement, we know that $l = 14$ and $A = 161$ , so we can fill in those values in the formula anbd solve for $w$ to get the width:

$A = l*w$

$161 = 14w$

Divide both sides by $14$ to isolate $w$ by itself:

$\frac{161}{14} = \frac{14w}{14}$

$w = 11.5$

3 0

3 years ago

Read 2 more answers

Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0

3 years ago

Read 2 more answers