Answer:
Right option is c 16 cm
Step-by-step explanation:
From the question,
The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.
Using pythagoras theorem,
a² = b²+c²...................... Equation 1
Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.
Given: a = 34 cm, b = 30 cm.
Substitute into equation 1
34² = 30²+c²
c² = 34²-30²
c² = 1156-900
c² = √256
c² = 16 cm.
Hence the right option is c 16 cm
5x + 10 10
---------- = -------
121 11
make the bottom have same common denominator
10/11 x (10/10) = 100/121
Get rid of the denominator (for both now have 121 as a base)
5x + 10 = 100
5x + 10 (-10) = 100 (-10)
5x = 90
5x/5 = 90/5
x = 18
x = 18 is your answer
hope this helps
Answer:
868 m³
Step-by-step explanation:
Volume = Difference of cones
V = ⅓(pi×r²h)
Volume of cone with base Circle O:
h = 8.2+8.2 = 16.4 m
V1 = ⅓(pi×7.6²×16.4)
V1 = 991.97
Volume of cone with base Circle A:
V2 = ⅓(pi×3.8²× 8.2)
V2 = 124 m³
Volume = V1 - V2
991.97 - 124 = 868 m³
The change in elevation is -15 meters
Answer:
m
Step-by-step explanation:
