Answer: See the diagram below
=================================================
Explanation:
The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).
In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).
In column 2, refer to the figures as A, B, C
Figure 1 matches with figure B
Figure 2 matches with figure C
Figure 3 matches with figure A.
These matches are of course the base with the proper height.
What numbers come next? 11, 14,17,20 A 24,28,32 B 23, 26,29 C 23, 27, 31 D25,30,35
ArbitrLikvidat [17]
Answer:
B
Step-by-step explanation:
The answer is B (23, 26, 29) because you are adding 3 after each step.
Hopes this helps.
The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 - 
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
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Answer:
The correct option is B) 12.
Step-by-step explanation:
Consider the provided information.
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.
As we know:
,
The rate of pump X is 
of the water is pumped out of the tank, that means only
is left to be pumped out.
All 3 pumps pumped out the remaining
of the water out in 3 hours.
The combined rate of all three pumps is:
Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.
The rate of pump Y =
Let z is the time taken by pump Z, then the rate of pump Z is
.
Therefore,

Multiplying both sides by 24 z.

Hence, the correct option is B) 12.
The solution of the function for π is 
Step-by-step explanation:
The equation πr² gives the area A of a circle with a radius r
To Solve the function for π
- Write the function
- Keep π in one side and all other terms in other side by using any operation you need (+ , - , × , ÷)
∵ A = πr²
- You need to take r² from the right hand side to the left hand
side to keep π in the right hand side alone
∵ r² is multiplied by π
∴ Divide both sides by r²
∴ 
∴ 
- Switch the two sides
∴ 
The solution of the function for π is
Learn more:
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