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BARSIC [14]
4 years ago
10

Is the ratio 12:14 written in simplest form? Yes No Practice Problems

Mathematics
1 answer:
zepelin [54]4 years ago
6 0
No you can make that into 6:7
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find the area of the regular polygon with the given apothem a and side length s. a=28. s=18.2 round to the nearest decimal place
miskamm [114]

The formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

6 0
3 years ago
Lane reads 25 pages in 30 minutes if lane reads 200 pages at the same rate how long will it take her
max2010maxim [7]

Answer:

4 hours

Step-by-step explanation:

She will take 4 hours.

If she reads at 25 pages per 30 minutes, that will be 50 pages per hour.

It will take 2 hours to read 100 pages, therefore it will take 4 hours to read 200 pages.

6 0
3 years ago
Read 2 more answers
Twins James and Jamie are getting bunk beds.their parents picked up the box from ruthand found that has dimensions of 6' x 2' x
Oksana_A [137]

The box with the bunk bed will not fit in the mini van

Step-by-step explanation:

Step 1 :

Given

Length of the cuboid  = 6 feet

Width of the cuboid  = 2 feet

Height of the cuboid = 3 feet

The diagonal of the cuboid is

\sqrt{l^{2}+w^{2}+h^{2}} = \sqrt{6^{2}+2^{2}+3^{2}}\\= \sqrt{49}

= 7 feet

Step 2 :

The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet

The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.

Hence the trunk of the mini van cannot hold the bunk bed

5 0
3 years ago
I need the distance please
sasho [114]
Use this formula:  d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }

Again :'(

5. d=10

6. d=4

7. d=4
5 0
4 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
3&+6&(2x)^2(-3y)^2\\
4&+4&(2x)^1(-3y)^3\\
5&+1&(2x)^0(-3y)^4
\end{array}


\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
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