10 and 1. Because 10 times 1 equals 10 and 10 plus 1 equals 11.
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
Answer: 58.11 cm³
Step-by-step explanation:
1. The volume can be calculated with the following formula:
Where <em>l</em> is the lenght, <em>w</em> is the width and <em>h</em> is the heigth of the smartphone.
2. You know that the dimensions are:
3. Convert the height and the width from inches to centimeters, as following:
4. Convert milimeters to centimeters:
4. Then, the volume is:
5/20=x/28 therefor x equals 7 and since the triangles are similar to each other so y =120
Answer:
Area of the given sector = 130.9 cm²
Step-by-step explanation:
Area of a sector is given by the formula,
Area of the sector =
Area of the sector of the circle given in the picture =
=
= 130.8996
≈ 130.9 cm²