Answer:
8, 10, 4, 7
Step-by-step explanation:
Missing side = x
Rules for x:
It should be less than the sum of the other two sides
It should be greater than the difference of the other two sides
8 + 10 = 18
10 - 8 = 2
2<x<18
8, 10, 4, 7
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-Chetan K
Answer:
Step-by-step explanation:
Perpendicular lines are lines which intersect at 90 degrees which have negative reciprocal slopes. The slope of the line y = 3/2x + 2 is 3/2. The slope of the line perpendicular to it will be -2/3. Substitute m = -2/3 and (6,-3) into the point slope form of a line.
Answer:
The surface area of the pentagonal prism is equal to 648 square inches
Step-by-step explanation:
we know that
The surface area of the pentagonal prism is equal to the area of the base and the top plus the lateral area
so
where
B is the area of the pentagonal base
LA is the lateral area (area of 5 equal-sized rectangles)
Answer:
f(-x)=-x-3
f(x^-1)=(1/x) -3
Step-by-step explanation:
<span>Rate of pump A: 1/8 of a pool per hour
Rate of pump B: 1/9 of a pool per hour
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72
So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool)
</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
</span>
<span>Now solve for x
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
