Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
Both fractions are equal, so:
Applying cross multiplication:
The value of x is 3.
The number 5 is 90 degrees, acute
Answer:
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Radius = 5 centimeters
Height = 15 centimeters
Therefore,
Volume of cone = 1/3 × 3.14 × 5² × 15 = 392.5 cubic centimeters
Answer:
-30
Step-by-step explanation:
I used a calculator
Answer:
there are 86493225 possible ways you can get a bag of 12 doughnuts
Step-by-step explanation:
since we do not care about the order of the donuts in the bag ,we will need to calculate the number of possible combinations for 30 different elements in a group of 12 , then:
Number of combinations=C= n! /[(n-r)!*r!]
where n= number of elements , r= group size
replacing values
C= n! /[(n-r)!*r!] = 30!/[(30-12)!*12!] = 86493225 possible combinations
