Answer:
32*15 = 480
1500-480 = 1020
1020/10
102 races
Step-by-step explanation:
Answer:
51.39 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of base × height
Here area of base = 5.71 and height = 9, thus
V = 5.71 × 9 = 51.39 units³
Since they are similar, that means they are proportionally the same.
So KL is similar to PN
JL is similar to PM
So,
You need to find how much bigger is the second triangle from first.
It is proportionally scaled up.
KL/JL = PN/ PM
You basically put in order of triangles. Left triangle on left side of equal sign and right triangle on right side of equal sign. You put in denominator the similar sides and numerator the similar sides (the side that is similar to the side of the other triangle)
5/6 = PN / 9
Cross-multiply
PN * 6 = 5*9
6PN = 45
PN =45/6
PN =7.5
Answer:
A=33
2a2
Step-by-step explanation:
Answer with Step-by-step explanation:
We are given S be any set which is countable and nonempty.
We have to prove that their exist a surjection g:N
Surjection: It is also called onto function .When cardinality of domain set is greater than or equal to cardinality of range set then the function is onto
Cardinality of natural numbers set =( Aleph naught)
There are two cases
1.S is finite nonempty set
2.S is countably infinite set
1.When S is finite set and nonempty set
Then cardinality of set S is any constant number which is less than the cardinality of set of natura number
Therefore, their exist a surjection from N to S.
2.When S is countably infinite set and cardinality with aleph naught
Then cardinality of set S is equal to cardinality of set of natural .Therefore, their exist a surjection from N to S.
Hence, proved