The value of x is 27 units from the given circle, if the radius of the circle is 18 units.
Step-by-step explanation:
The given is,
Circle diagram, with radius of 18
Step:1
Given circle contain right angular triangle,
Ref attachment,
x = 18
y = 12
Where,
x = a + b...................(1)
a = b
a = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
b = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
From Pythagoras theorem,
Substitute the values,
![18^{2}=12^{2} + a^{2}](https://tex.z-dn.net/?f=18%5E%7B2%7D%3D12%5E%7B2%7D%20%20%2B%20a%5E%7B2%7D)
![324=144+a^{2}](https://tex.z-dn.net/?f=324%3D144%2Ba%5E%7B2%7D)
![a^{2} = 180](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20180)
Take square root on both sides,
![a=\sqrt{180}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B180%7D)
a= 13.416
Step:2
From equation (1),
x = 13.416 +13.416
x = 26.833
x ≅ 27
Result:
The value of x is 27 units from the given circle, if the radius of the circle is 18 units.
x=2
(2X-8.6)/2=-2.3
multiply both sides by 2 to gte rid of the denominator
2x-8.6= -4.6
add 8.6 to both sides
2x=4
x=2
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B