Answer: 53.2
Step-by-step explanation:
Using pythagorean theorem, a^2 + b^2 = c^2
40^2 + 35^2 = sqrt of 2825
which is 53.15
rounded up to nearest tenth is 53.2
Answer:
There are 154,440 ways.
Step-by-step explanation:
The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
5 books from a set of 13. So

There are 154,440 ways.
We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:
For 5 and 10, the difference is -5
For 10 and 3, the difference is 7
For 3 and 15, the difference is -12
For 15 and 20, the difference is -5
For 20 and 13, the difference is 7
For 13 and 25, the difference is -12
For 25 and 30, the difference is -5
Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is -5, 7 and -12. So the next numbers are the following:
30 - 7 = 23
23- (-12) = 35
Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35
Answer:
No, is not proportional because it does not go through the origin
Step-by-step explanation:
In order to find whether this is proportional or not you gotta divide y from x
and if the result is the same it means the relationship it is proportional.
30/2=15
40/4=10
50/6=8.333
The relationship is not proportional
Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)