Answer: 
Step-by-step explanation:
The formula for the lateral area of a cone
is:

Where:
is the radius of the circular base of the cone
As we know its diameter
, its radius is 
is the height of the cone

This is the lateral area of the volcano with the shape of a cone
The 12 sided cube with the numbers 1 to 12 is rolled. That means it can land on any number from 1 to 12. The number of total possible outcomes is 12. The number of favourable outcomes, that is, the number of times the cube lands on a number than 4 is 12-1=11.
Probability=Number of favourable outcomes/number of total possible outcomes
= 11/12
= 0.92
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Answer:
1080
Step-by-step explanation:
3/4 of an hour is 45 min
If you times that by 24
is 1080
S= a(1-r ⁿ) /(1-r) & when r is < 1 & n →∞, the sum becomes S= a/(1-r)
Progression P is 2,1, 1/2,1/4,.. ==> r = 1/2
Sum of P when n--> ∞ = 2/(1-1/2) ==> S =4
Progression Q is 3,1,1/3,1/9,....==> r = 1/3
Sum of Q when n--> ∞ = 3/(1-1/3) ==> S =4.5
GIVEN THAT 4, 9/2 & X (to be calculated later is a geometric Progression, hence 9/2 - 4 = 0.5 =d (common difference , so X = 4.5+0.5 & X = 5
Sum of R =5 Then => 5= 4 /(1-r) & r=1/5
Then the sum of R = 4/(1-1/5) ==> S of R =5
We are given
isosceles triangle
and when we draw perpendicular on third sides , it will divide third sides into two equal parts
so,
opposite =38
adjacent =x/2
hypotenuse =43
now, we can use Pythagoras theorem

now, we can solve for x

............Answer