Distance hour hand travel in 5 hours is 20.94 inches.
<h3>
What is a diameter?</h3>
- A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
- It is also known as the circle's longest chord.
- Both definitions apply to the diameter of a sphere.
To find the distance hour hand travel in 5 hours:
- Let's say the hour hand completed one full round around the clock.
- If this was the case, it would have been 2
×8 inches around. - We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2×8×( 5/12 ).
- Distance hour hand travel is 20.94 inches.
Therefore, the distance hour hand travel in 5 hours is 20.94 inches.
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Answer: 44
solution: x+(x+2)+(x+4)+(x+6)+(x+8)=200
5x+20=200
5x=180
x=36
5th number - x+8=36+8=44
Answer:
C
Step-by-step explanation:
perpecndicular means they intersect in right angle which is 90°, no matter how long lines are.
2.80*.15=.42
2.80-.42= 2.38
the answer is $2.38 (this was the price before)
<h3>
Answer: x = 7 and y = 3</h3>
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Explanation:
Apply the difference of squares rule
x² - 4y² = 13
x² - (2y)² = 13
(x - 2y)(x + 2y) = 13
Since x and y are positive integers, this means x-2y and x+2y are both integers as well.
The value 13 is prime. Its only factors are 1 and 13
Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:
- A) x-2y = 1 and x+2y = 13
- B) x-2y = 13 and x+2y = 1
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Let's consider case A
We have this system of equations
Add the equations straight down
- x+x becomes 2x
- -2y+2y becomes 0y = 0 which goes away
- 1+13 becomes 14
Therefore we have 2x = 14 solve to x = 7
From here, plug this into either equation to solve for y
x-2y = 1
7 - 2y = 1
-2y = 1-7
-2y = -6
y = -6/(-2)
y = 3
You should get the same result if you used x+2y = 13
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Since we've found that x = 7 and y = 3, notice how case B is not possible
Example: x-2y = 13 becomes 7-2(3) = 13 which is false.
Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.
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Let's check those x and y values in the original equation
x² - 4y² = 13
7² - 4*(3)² = 13
49 - 4(9) = 13
49 - 36 = 13
13 = 13
The answer is confirmed.
