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3 years ago

What times what equals 216

2 answers:

5 0

<span>The question ask us to find the products which equals 216. First we have to factorize 216: 216 = 2*2*2*3*3*3. So: 216 = 1 * 216; 216 = 2 * 108; 216 = 3 * 72; 216 = 4 * 54 ; 216 = 6 * 36; 216 = 8 * 27; 216 = 9 * 24 ; 216 = 12 * 18. And because of a commutative property: 216 = 18 * 12 ; 216 = 24 * 9 ; 216 = 27 * 8 ; 216 = 36 * 6 ; 216 = 54 * 4 ; 216 = 72 * 3 ; 216 = 108 * 2; 216 = 216 * 1.</span>

kap26 [50]3 years ago

4 0

Answer:

Step-by-step explanation:

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Which of these 3-dimensional shapes is composed of only square faces?

elena-14-01-66 [18.8K]

Answer:

d.Cube

Step-by-step explanation:

The correct answer is cube, a cube is made up of 6 squares

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3 years ago

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What is the exact value of cos(–60º)?

Aloiza [94]

Answer:

The exact value of $cos(-60\°)=(1/2)$

Step-by-step explanation:

we know that

The angle $-60\°$ belong to the fourth quadrant

The function cosine is positive in the first and in the fourth quadrant

$cos(-60\°)=cos(60\°)$

Remember that

$cos(60\°)=(1/2)$

$cos(-60\°)=(1/2)$

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3 years ago

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Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.

Jlenok [28]

$y''+2y'+y=2t^2-t+3e^{-2t}$

The characteristic equation is

$r^2+2r+1=(r+1)^2=0\implies r=-1$

so the characteristic solution is

$y_c=C_1e^{-t}+C_2te^{-t}$

For the particular solution, we can try looking for a solution of the form

$y_p=at^2+bt+c+de^{-2t}$
$\implies{y_p}'=2at+b-2de^{-2t}$
$\implies{y_p}''=2a+4de^{-2t}$

Substituting into the ODE, we have

$(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}$
$at^2+(4a+b)t+(2a+2b+c)+de^{-2t}=2t^2-t+3e^{-2t}$
$\implies\begin{cases}a=2\\4a+b=-1\\2a+2b+c=0\\d=3\end{cases}\implies a=2,b=-9,c=14,d=3$

So the general solution to the ODE is

$y=y_c+y_p$
$y=C_1e^{-t}+C_2te^{-t}+2t^2-9t+14+3e^{-2t}$

4 0

3 years ago

Could somebody help me with this please?

katrin [286]

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = $\frac{10}{8}$ = $\frac{5}{4}$

→ Use the inverse of tan to find x

∵ x = $tan^{-1}$ ( $\frac{5}{4}$ )

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

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3 years ago

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Lostsunrise [7]

Answer:

Step-by-step explanation:

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4 years ago