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2 years ago

Please help I really need help a sister out I just wanna finish this please thank you!

Mathematics

1 answer:

scZoUnD [109]2 years ago

5 0

Answer:

5 rolls

Step-by-step explanation:

The perimeter lengths are the same because it's a square. So 12 times 4 is 48. You would need a minimum of 5 rolls because each roll as a length of paper of 10 feet. So 40 feet plus 8 would round to 50. That's why it would be 5 rolls.

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

I need help I give thanks and follow

olga_2 [115]

Answer:

73,780

Step-by-step explanation:

2,108 x 35 = 73,780

5 0

2 years ago

Read 2 more answers

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and

Sophie [7]

Volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla

3 0

3 years ago

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Find the first five terms of the sequence. an=-n2+2n

Julli [10]

If your sequence is this

$an = - {n}^{2} + 2n \\ then \\ a1 = - 1 + 2 = 1 \\ a2 = - 4 + 4 = 0 \\ a3 = - 9 + 6 = - 3 \\ a4 = - 16 + 8 = - 8 \\ a5 = - 25 + 10 = - 15$

3 0

2 years ago

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Please help me with this math question

Volgvan

Ur answer is : h(d) = 2d + 3

because if u sub in the points in ur table, this equation works....with the number of months being d and the length of the hair being h(d)

8 0

3 years ago