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2 years ago

98 POINTS ONE GEOMETRY QUESTION PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

elena55 [62]2 years ago

4 0

1,333.166 square meters is the surface area.

Hatshy [7]2 years ago

4 0

Formula
Surface Area (SA) = 4 * pi * r^2

Givens
SA = ??
pi = 3.14
r= d/2
r = 20.6/2 = 10.3

Sub and Solve
SA = 4 * 3.14 * (10.3)^2
SA = 12.56 * 106.09
SA = 1132.50 m^2 <<<<<<< Answer

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

2 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

2 years ago

If m -(-3) > 17, which is a possible value for m?

masha68 [24]

Step-by-step explanation:

m-(-3)>17

m +3>17

m >17-3

m>14

5 0

2 years ago

Find the length of the segment QS.(Enter the just the value, without any units.)

motikmotik

Answer:

QS = 15

Step-by-step explanation:

Thales

QS/QT = RS/PT

QS = QT·RS/PT

= 20×12/16

= 240/16

= 15

3 0

3 years ago

Read 2 more answers

Lucy rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 5

Sergio039 [100]

Answer:

(1,4) ( 4,1) (2,3) (3,2)

Step-by-step explanation:

Multiples of 5 = 5 and 10

Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)

Ways to roll a 10 = (5,5) (4,6) (6,4)

We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total

So P (multiple of 5) = 7 / 36

7 0

2 years ago