A square is inscribed in a circle . If the area of the square is 9 inch square what is the ratio of the radius of the circle to the side of the square.
Answers
Answer:
(√2)/2
Step-by-step explanation:
The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.
The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.
Scaling up our unit square to one with a side length of 3 inches, we have ...
radius/side = ((3√2)/2) / 3 = (√2)/2
_____
A square with a side length of 3 inches will have an area of (3 in)² = 9 in².
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Create an expression without parentheses that is equivalent that is equivalent to 4(6x+x)
There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?
If the sampled population is finite and at least _____ times larger than the sample size, we treat the population as infinite.
What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. in² The figure contains a triangle. One side is 11.1 inches. A second side is 7 inches. The angle between the given sides is 84 degrees.
Answers
Answer:
31.5ft²
Step-by-step explanation:
Formula for area:
Area = Length * Width
Calculate area by substituting in known values
Area = 9 * 3.5
Area = 31.5ft²
31.5ft²
Hope this helps :)
Answers
Greetings from Brasil...
See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25
5X - 10 < 25
5X < 25 + 10
X < 35/5
X < 7
The AB side can be neither zero nor negative. So
5X - 10 > 0
5X > 10
X > 10/5
X > 2
2 < X < 7
Answers
Answer:
c and d
Step-by-step explanation:
The cost inequalities tell you that x corresponds to bicycles, so answer (a) is incorrect. The cost constraint is strictly less than, so answer (b) is incorrect.
(c) correctly expresses the cost constraint.
(d) correctly expresses the relationship between bicycles (x) and treadmills (y).
_____
The only integer solution is y=0 and 0 < x ≤ 15.
Answer: c.
d.
Step-by-step explanation:
Let x be the number of new bicycles and y be the number of new treadmills.
Given : The number of new bicycles must be more than 13 times the number of new treadmills.
i.e.
Each bicycle costs $340 and each treadmill costs $670.
He must spend less than $5,650.
i.e. '
Hence, the constraints for this situation will be :
Hence, c and d are the correct options.
7 minutes, 1730.4 gallons of water flowed from a 4-inch pipe.
Based on Janice's data, what is the difference in flow rate
between a 2-inch and 4-inch pipe?
Answers
Answer:
208.6 gal/min
Step-by-step explanation:
For 2" pipe,
Given Volume = 463.2 gal, time = 12 min
flow rate for 2" pipe
= Volume ÷ time
= 463.2÷12
= 38.6 gal/min
For 4" pipe,
Given Volume = 1730.4 gal, time = 7 min
flow rate for 4" pipe
= Volume ÷ time
= 1730.4÷7
= 247.2 gal/min
Difference in flow rate = 247.2 - 38.6 = 208.6 gal/min
Final answer:
The difference in flow rate between a 2-inch and 4-inch pipe, based on Janice's data, is 208.6 gallons per minute.
Explanation:
To determine the difference in flow rate between a 2-inch and a 4-inch pipe, we first need to calculate the flow rate for each pipe. This can be done by dividing the amount of water that flowed within a given time by that time.
For the 2-inch pipe: 463.2 gallons flowed in 12 minutes, so the flow rate is 463.2 / 12 = 38.6 gallons per minute.
For the 4-inch pipe: 1730.4 gallons flowed in 7 minutes, so the flow rate is 1730.4 / 7 = 247.2 gallons per minute.
Now, to find the difference in flow rate between the two pipes, we subtract the smaller flow rate from the larger one. Thus, 247.2 - 38.6 = 208.6 gallons per minute.
Therefore, the difference in flow rate between a 2-inch and 4-inch pipe, based on Janice's data, is 208.6 gallons per minute.
Learn more about Flow Rate here:
#SPJ3
Answers
Answer:
5n
Step-by-step explanation:
Summarizing what we know:
Casey has n nickels, and Meghan 4 times as many: 4n
Then the total number of nickets these two people have is n + 4n, or 5n.
Answers
Answer:
A
Step-by-step explanation:
this is only what I know correct me if I'm wrong thank you