Answer:
Step-by-step explanation:
Given
Shape: Right Circular cone
Height, h = 12.5 cm
Base circumference, C = 5.8cm
Required:
Calculate Volume
The volume of a cone is calculated as thus;
Volume, 
Where V, r and h represent the volume, the radius and the height of the cone respectively
But first we need to calculate the radius of the cone.
Using formula of circumference.
We have C to be 5.8cm
By substituting this value;
Divide through by 
Now, we can calculate the volume of the cone
By substituting and h = 12.5 cm;
becomes
Take 
as 3.14
---- Approximated
Hence, the volume of the cone is;
For an acute angled triangle
h^2 < x^2 + y^2 where h = longest side and x and y are the other 2 sides.
so here we have
15^2 < x^2 + (2x)^2
15^2 < 5x^2
x^2 > 15*3 = 45
x > sqrt 45 or x > 6.7
So smallest whole number value of x is 7
Answer:
60 and 100
Step-by-step explanation:
Look for 2 multiples of 20 which are also factors of 300.
No need to go all Mathematician.
It's simple, no long explanation needed
Option B is the correct answer
Step-by-step explanation:
Step 1 :
Given,
Maximum budget Sandra has for the trip is $90
Fixed rental fee = $30
Daily fee = $10
Step 2 :
Let x be the number of the days for which Sandra can go for the trip
If the daily fee is $10, the cost for x number of days would be 10*x
the fixed fee is $30
So the equation is represent the cost of the trip is 30 + 10 x
given that the maximum budget is $90, the above cost should always be less $90
So the required inequality is 30 + 10x ≤ 90
Option B is the correct answer
