Hi there!
First we split up the square root into two parts.
Now we calculate the value of the square roots which have an integer as a solution
Multiplying the integers gives us our next step.
And finally we add up the roots.
Answer:
1.9 miles.
Step-by-step explanation:
John jogs 2 7/10 miles to the park. Marsha jogs 4/5 miles to the park.
Convert the fractions into decimals:
2 7/10 = 2.7
4/5 = 0.8
Subtract '0.8' from '2.7':
John should jog 1.9 miles farther than Marsha.
Hope this helps.
I believe the radius of the circle would be about 18.79 (rounded).
Hope this helps ;}
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2(L +W)
Given L = W + 2 and the perimeter is greater than 112 meters?
P rect < 2(L +W) L = W + 2
P rect < 2(W + 2 +W)
< 2(2W+2)
112 < 4W + 4 solve for W
(112 - 4)/4 < (4W +4 - 4)/4
108/4 < (4W + 0)/4
27 < W
the width has to be greater than 27 meters
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
