What is the surface area of a cube that is 5 cm long?

prohojiy [21]

$x=\frac{1}{2}-\sqrt3\\\\x^3-2x^2-7x+5=3\\\\(\frac{1}{2}-\sqrt3)^3-2(\frac{1}{2}-\sqrt3)^2-7(\frac{1}{2}-\sqrt3)+5\\\\=(\frac{1}{2})^3-3\cdot(\frac{1}{2})^2\cdto\sqrt3+3\cdot\frac{1}{2}\cdot(\sqrt3)^2-(\sqrt3)^3-...\\\\...-2[(\frac{1}{2})^2-2\cdot\frac{1}{2}\cdot\sqrt3+(\sqrt3)^2]-\frac{7}{2}+7\sqrt3+5$

$=\frac{1}{8}-\frac{3\sqrt3}{4}+\frac{9}{2}-3\sqrt3-2(\frac{1}{4}-\sqrt3+3)-\frac{7}{2}+7\sqrt3+5\\\\=\frac{1}{8}+\frac{9}{2}-\frac{1}{2}-6-\frac{7}{2}+5-\frac{3}{4}\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\\\\=\frac{1}{8}+\frac{1}{2}-1+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{1}{2}+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{4}{8}+5\frac{1}{4}\sqrt3\\\\=-\frac{3}{8}+5\frac{1}{4}\sqrt3\neq3$

6 0

3 years ago

Can someone help me on letters B and C?

skelet666 [1.2K]

Step-by-step explanation:

B.

if he is just talking about the length than it is,

4(13x + 8)

of he is talking about overall length he swam than,

4(13x + 8) + 3(7x - 2)

c.

if x = 12

than

perimeter = 2l + 2b

so, after inserting the values we got,

→ 2[13(12) + 8] + 2[7(12) - 2]

→ 2 (156 + 8) + 2(84 - 2)

→ 2 × 164 + 2 × 82

→ 328 + 164

→ 492 ft. ← perimeter

and yeah, according to me

a is wrong as,

formula of perimeter = 2l + 2b or 2(l+b)

so, the answer should be,

2(13x + 8) + 2(7x - 2) or 2 [ (13x + 8) + (7x - 2)

hope this answer helps you dear...take care and may u have a great day ahead!

4 0

2 years ago

Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl

HACTEHA [7]

ANSWER

B) A rectangle with a length of 15 cm and a width of 9 cm.

EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

$\frac{10}{9} \ne \frac{6}{6}$

Since the ratios are not equal, the two triangles are not similar.

For the triangle in option B, the length is 15cm and the width is 9cm.

The ratio of the corresponding sides are:

$\frac{10}{15} = \frac{6}{9} = \frac{2}{3}$

Since the sides of the triangle are in the same proportion, the two triangles are similar.

For option C, the proportions are not the same.

$\frac{10}{14} \ne \frac{6}{7}$

The proportions are not the same for the triangle in option D.

$\frac{10}{12} \ne \frac{6}{8}$

8 0

3 years ago

Rounded to the nearest dime ,what is the greatest amount of money that rounds to $105.40?What is the least amount of money that

victus00 [196]

$100.00 rounded value
$105.00 rounded value
$110.00 rounded value

For example,
14,494 
To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is: 
10, 000 = ten thousand 
4, 000 = thousands 
400 = hundreds 
90 = tens 
4 = ones 
Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.

3 0

3 years ago

You are planning to save for retirement over the next 35 years. to do this, you will invest $870 a month in a stock account and

DaniilM [7]

Go to mathpapa thats what i use

6 0

3 years ago