The formula of the volume of pyramid =1/3*h*base
the volume of prism=base*h
we know that the height of pyramid is 3 times more than the height of prism so that if the height of prism is a ==> the volume of prism is a*base
the height of prism is 3a so that ==> the volume of pyramid is ==>1/3*3a*base=a*base
The Answer of the ratio is 1/1
Rewrite the expression as
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Factor 2a from the first two terms and 3b from the last two:
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Factor a-2b
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Answer:
AB= 36 degrees
Step-by-step explanation: AB + BC + AC = 96
but AB = AC [isosceles triangle]
2AB + 24 = 96
2AB = 96 - 24 = 72
AB = 72/2 = 36
AB = 36 degrees.
(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number
Sloan [31]
Answer:
a) AUC = {2,4,6,8,10}
b) BnC = {}
c) AnB = {}
d) B-C = B = {1,3,5,7,9}
Step-by-step explanation:
The set A is the even numbers, those that are divisible by two.
So A = {2,4,6,8,10}
B is the odd numbe.rs. An odd number is a number that is not divisible by two.
So B = {1,3,5,7,9}.
C = {4,5,6}, as the problem states
a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.
So AUC = {2,4,6,8,10}.
b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.
There are no elements that are in both B and C, so the intersection is an empty set
BnC = {}
c) Same explanation as b), there are no elements that are in both A and B, so another empty set.
AnB = {}
d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:
B-C = B = {1,3,5,7,9}
Answer:
There is a 0.36% Chance of 1 or fewer in every 24 matches being flawed.
Step-by-step explanation:
Firstly we need to know what 1/10 of 5 is. It is 0.5.
You then need to multiply 24 by 1.5 to get 36. We then need to divide that by 100 to get a percentage and we end up with 0.36%
Here is an explanation of how to get percentages: https://www.mathsisfun.com/converting-fractions-percents.html