Substituting the given information into the formula gives
0 = 48t - 16t²
Factoring, this becomes
0 = 16t(3-t)
The ball is at ground level when t=0 or t=3.
The ball hits the ground after 3 seconds.
With Combination, There are the 98280 ways by which we place books on the shelf.
According to the statement
We have to find that the number of ways can by which place books on the shelf.
So, For this purpose, we know that the
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
From the given information:
The library has 28 science fiction books. Each shelf holds 5 books
Then
apply the combination,
Then
C(n,r) = C(28,5)
after solving it become
C(28,5) = 28! /(5!(28-5)!)
And
C(28,5) = 28! /(5!(23)!)
Then after rearranging the terms and solving the value becomes
C(28,5) = 98280.
So, With Combination, There are the 98280 ways by which we place books on the shelf.
Learn more about Combination here
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Answer:
Step-by-step explanation:
You haven't given us a diagram of your figure. Assume it is like the one in the image below.
The formula for the area of a parallelogram is
A = bh
1. Determine the height of the parallelogram
Notice that the angle is 45°. That makes the triangle an isosceles right triangle, so we can use Pythagoras' Theorem.
h² + h² = (6√2)²
2h² = 36 × 2 = 72
h² = 36
h = 6
2. Calculate the area of the parallelogram
Answer:
6 boxes.
Step-by-step explanation:
We have been given that a teacher has 36 sheets of construction paper and 78 markers.
As teacher wants to pack the same number of sheets and markers in each box, So we will have to find the greatest common factor (GCF) of 36 and 78.
Factors of 36 are: 1, 2, 3, 4, 6, 6, 18 ,12, 18, 36
Factors of 78 are: 1, 2, 3, 26, 39, 78.
We can see that GCF of 36 and 78 is 6. The number of sheets of construction paper in each box will be 6 (6*6=36) and number of markers in each box will be 13 (13*6=78).
Therefore, the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers is 6.
Try looking this question again and you will find the explanation