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2 years ago

How many times smaller is the surface area of a cube if the side length is multiplied 1/2

Mathematics

1 answer:

Tju [1.3M]2 years ago

4 0

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

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10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

9966 [12]

$a_{5}=a+4d=11\\a_{10}=a+9d=41$

Solve the above equations,

$a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13$

First term is -13.

4 0

2 years ago

Read 2 more answers

Solve the following system of equations. Write each of your answers as a fraction reduced to lowest terms. In other words, write

morpeh [17]

Answer:

x = 57/28

y = -95/84

z = 97/168

Step-by-step explanation:

Use the application in the next link: https://www.zweigmedia.com/RealWorld/tutorialsf1/scriptpivotold.html

Start with the expanded array:

$\left[\begin{array}{cccc}1&5&8&1\\3&2&2&5\\-2&-7&2&5\\\end{array}\right]$

then using the tool provided, make row operations until you find the solution:

r2 = r2-3r1

$\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\-2&-7&2&5\\\end{array}\right]$

r3 = r3+2r1

$\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\0&3&18&7\\\end{array}\right]$

r2 = r2*(-1/13)

$\left[\begin{array}{cccc}1&5&8&1\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]$

r1 = r1- r2*5

$\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]$

r3 = r3+ r2*-3

$\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&168/13&97/13\\\end{array}\right]$

r3 = r3*13/168

$\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&1&97/168\\\end{array}\right]$

r2 = r2- r3*22/13

$\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]$

r2 = r2+ r3*6/13

$\left[\begin{array}{cccc}1&0&0&57/28\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]$

Here you have a reduced array an therefore the answers to each variable are on each row:

$\left[\begin{array}{c}x\\y\\z\end{array}\right]$

8 0

3 years ago

Help out omggggg !!!!!!

Alex17521 [72]

Answer:

sorry the diagram is not clear......

3 0

2 years ago

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Mashcka [7]

$\displaystyle d= \sqrt{(x_1-x_0)^2+(y_1-y_0)^2}$ - d is distance, (x_1,y_1) and (x_0,y_0) two points on a coordinate grid.

In our case :
$(x_1,y_1)=(a,0)\\(x_0,y_0)=(0,5)$

$d= \sqrt{(a-0)^2+(0-5)^2} = \sqrt{a^2+25}$

6 0

3 years ago

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You roll a fair number cube. What is the likelihood you will land on a number greater than 4?

Alekssandra [29.7K]

Answer:

1/3

Step-by-step explanation:

There are 6 faces on a number cube.

We know that 2 of those faces are greater than 4.

So,

2 out of 6 faces=2/6=1/3

7 0

3 years ago

How many times smaller is the surface area of a cube if the side length is multiplied 1/2​

How many times smaller is the surface area of a cube if the side length is multiplied 1/2