Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
we can use trig identity
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Answer:
<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by
If we take that formula as the smaller prism, then the larer prism has a volum of
If we compare, we can deduct that
In words, the volume of the larger prims is eight times greater than the smaller prism.
Answer:
S is closest to B.
Step-by-step explanation:
Given a directed line segment from point A to B.
Point P divides the line A to B in a ratio 3:4.
Point Q divides the line A to B in a ratio 4:3.
Point R divides the line A to B in a ratio 2:5.
Point S divides the line A to B in a ratio 5:2.
To find:
The point which is closest to the point B.
Solution:
Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.
We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.
Let the distance between A and B be 7 units.
Now, the distances can be found easily.
The point which has the minimum distance from point B, will be nearest to B.
We can clearly observe that SB is the minimum distance.
Therefore, <em>S is closest to B</em>.