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stealth61 [152]
3 years ago
15

The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

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1/ (1000x^3)

Step-by-step explanation:

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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
4x+1+8-x+5x-2=23 linear equations
DanielleElmas [232]

Step-by-step explanation:

= 4x-x+5x+1+8-2

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5 0
3 years ago
Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of
irina1246 [14]

Answer: 24^{\circ}

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of u=1\ m/s

Motor boat traverses the river from east to west at a speed of v=2.5\ m/s

South component of boat velocity must compensate the river velocity in order to travel in west direction.

\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}

5 0
2 years ago
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