The value of x in the given sector is determined as 7.1.
<h3>Area of the sector</h3>
Total area of the sector = area of the shaded + area of the unshaded
Since shaded and unshaded areas are equal, the value of x is calculated as follows;
πr²θ/360 = πx²60/360 + πx²60/360
πr²θ/360 = 2(πx²θ/360)
πr² = 2(πx²)
r² = 2x²
x² = r²/2
x² = (10²)/2
x² = 50
x = √50
x = 7.1
Thus, the value of x in the given sector is determined as 7.1.
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The Answers is
g(x) = (x + 1)/(x - 2)
h(x) = 4 - x
g(h(x)) = (4 - x + 1)/(4 - x - 2) = (5 - x)/(2 - x)
g(h(-3)) = (5 - (-3))/(2 - (-3)) = (5 + 3)/(2 + 3) = 8/5
g(h(-3)) = 8/5.
Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log 
⇔ n log x
x = n ⇔ x = 
Given
3
(2x) = 3
(2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
6 lines of symmetry
Step-by-step explanation:
This is a 6 sided polygon which is known as hexagon.
Now, line of symmetry of this hexagon is a line that passes through the centre of it and thereby divides it into equal parts.
Now, we can see the short lines on each side of the hexagon. When they are extended to join a similar line on the opposite face, they all pass through the centre.
Thus, there are
