Answer:
Step-by-step explanation:
We have been given that 
and 
. We are asked to find the expression that represents length of PS.
We know that 
.
Upon substituting our given values in above equation, we will get:
Therefore, the expression represents length of PS.
Answer:
Reduce
Step-by-step explanation:
0.75 would be making the subject smaller because it is less than one.
Answer:
D : 510 units
Step-by-step explanation:
NOTE:
Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)
WORK:
I broke down this shape into two rectangles with the following dimensions:
- 12 meters by 5 meters
- 3 meters by 14 meters
You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)
Using this information, you can now solve for the volume of each of the rectangles
12*5*5 = 300 units
3*14*5 = 210 units
Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals
510 units
Answer:
Acute triangle
x = 3
GH = 19
Step-by-step explanation:
Formula is
ₙCₖ = (n!)/( k!*(n-k)! )
so ₇C₃ = (7!) / (3! * (7-3)!)
and 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1
= (7 * 6 * 5 * 4 * 3 * 2 * 1)/(3 * 2 * 1 * 4!)
= (7 * 6 * 5 * 4)/(4!)
= (7 * 6 * 5 * 4)/(4 * 3 * 2 * 1)
= (7 * 6 * 5 )/(6 * 1)
= (7 * 5 )/( 1)
= 35
