The side length of the cube is 6 cm.
Answer:
<em>-9.5 + 6x ≥ 42.1 </em>
<em>6x ≥ 51.6</em>
x ≥ 8.6
Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x
but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning
the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x
since we know that x is greater than or equal to 8.6, we will use the '[' bracket
Hence, b is your answer
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<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>
Answer:
The value of ∠b = 180°
Step-by-step explanation:
Given that;
ABC is a straight line
Another angle is 137°
Find:
The value of ∠a
The value of ∠b
Computation:
We know that, ABC is a straight line
So,
137 + The value of ∠a = 180
The value of ∠a = 180 - 137
The value of ∠a = 43°
The value of ∠b = 360 - 137 - The value of ∠a
The value of ∠b = 360 - 137 - 43
The value of ∠b = 180°
FG = 16
Step-by-step explanation:
Two pairs of consecutive are congruent so, its a kite,
Opposite sides are equal in kite so,
x + 11 = 3x + 1
or, 11 - 1 = 3x - x
or, 2x = 10
so, x = 5
FG = x + 11 = 5 + 11 = 16
Answer:
x₂ = 7.9156
Step-by-step explanation:
Given the function ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
If f(x) = ln(x)+x-10
f'(x) = 1/x + 1
f(9) = ln9+9-10
f(9) = ln9- 1
f(9) = 2.1972 - 1
f(9) = 1.1972
f'(9) = 1/9 + 1
f'(9) = 10/9
f'(9) = 1.1111
x₁ = x₀ - f(x₀)/f'(x₀)
x₁ = 9 - 1.1972/1.1111
x₁ = 9 - 1.0775
x₁ = 7.9225
x₂ = x₁ - f(x₁)/f'(x₁)
x₂ = 7.9225 - f(7.9225)/f'(7.9225)
f(7.9225) = ln7.9225 + 7.9225 -10
f(7.9225) = 2.0697 + 7.9225 -10
f(7.9225) = 0.0078
f'(7.9225) = 1/7.9225 + 1
f'(7.9225) = 0.1262+1
f'(7.9225) = 1.1262
x₂ = 7.9225 - 0.0078/1.1262
x₂ = 7.9225 - 0.006926
x₂ = 7.9156
<em>Hence the approximate value of x₂ is 7.9156</em>
