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Dahasolnce [82]
3 years ago
11

Can someone please help me with this???

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

1 cm

Step-by-step explanation:

To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg

width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm

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What is the vertex of the parabola? y+1=−14(x−2)2 enter your answer in the boxes?
cestrela7 [59]
Y + 1 = -14(x - 2)^2
y = -14(x - 2)^2 - 1
The vertex is the point (h, k) when the parabola is in the turning point form: y = a(x - h)^2 + k, therefor the vertex is at (2, -1)
6 0
4 years ago
Read 2 more answers
Find the equilibrium solutions of the ordinary differential equation
Mandarinka [93]

Answer:

\dfrac{1}{2}\dfrac{sin y}{cos^2y}+\dfrac{1}{4}ln[\dfrac{siny +1}{siny-1}]=\dfrac{x^3}{3}+c  

Step-by-step explanation:

given,

y' =  x² (cos y)³

solve the equation using variable separable method

\frac{\mathrm{d} y}{\mathrm{d} x} = x^2 cos^3y\\\dfrac{dy}{(cosy)^3}= x^2 dx\\\dfrac{cos\ y}{cos^4 y}\ dy = x^2 dx\\\int \dfrac{cos\ y}{(1-sin^2 y)^2}\ dy = \int x^2dx\\\int \dfrac{1}{(t^2-1)^2}\ dt = \dfrac{x^3}{3}+c

here sin y  = t     :  cos y = dt

\int(\dfrac{1}{2}{[\dfrac{1}{t-1}-\dfrac{1}{t+1}]}^2 = \dfrac{x^3}{3}+c\\\dfrac{1}{4}\int [\dfrac{1}{(t-1)^2}-\dfrac{1}{t-1}+\dfrac{1}{t-1}+\dfrac{1}{(t+1)^2}]= \dfrac{x^3}{3}+c  

\dfrac{1}{2}\dfrac{sin y}{cos^2y}+\dfrac{1}{4}ln[\dfrac{siny +1}{siny-1}]=\dfrac{x^3}{3}+c  

3 0
3 years ago
Can somebody help asap
Ivenika [448]
5. 2.9n+1.7=3.5+2.3n
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6 0
3 years ago
Which of the following equations is used to find the value of c (the distance to the foci) for an ellipse? 
Reika [66]

The equation of ellipse:

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1

The formula of c (the distance to the foci)

c^2=a^2-b^2\qquad|\text{add}\ b^2\ \text{to the both sides}\\\\c^2+b^2=a^2

<h3>Answer: c² + b² = a²</h3>
4 0
3 years ago
What are the weekly wages for 30 hours of work at an hourly rate of 12.00?
Delvig [45]

Answer:

I believe its 360 dollars

Step-by-step explanation:

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4 0
3 years ago
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