Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.
Answer:
23 feet
Step-by-step explanation:
The absolute value of -14 is fourteen.
The absolute value of 23 is twenty-three
23>14
Answer:
86.5 ns
Step-by-step explanation:
The speed in the original direction (horizontally) is unchanged by the vertical force the field exerts. The travel time is ...
time = distance/speed = (4.5×10^-2 m)/(5.20×10^5 m/s) = 8.65×10^-8 s
_____
An engineer would express this time using the SI prefix nano- for 10^-9. The time is 86.5 ns.
Answer:
Yes you can have some peace of mind, because your house is safe. Since, the flagpole is only 14.85 feet, is shorter than the 18 feet of distance from its base to your home.
Step-by-step explanation:
What you need to do is to estimate the height of the pole using its shadow, and the relationship between the height of the fence and it respective shadow:
- <em>For a rectangle triangle, the proportion of its shorter sides are constant</em>.
- <em>The shadows of the fence and of the pole, both form two rectangle triangle.</em>
- <em>The first triangle</em>, the smaller one, <em>has a base of 7 feet</em> (the shadow of the fence), <em>and a height of 4 feet</em> (the corresponding height of the fence)
- <em>The second</em> one, a bigger one, <em>has a base of 26 feet</em> (the shadow of the flagpole), <em>and an unknown height</em> (the height of the pole that its worrying you).
- Then, as stated, the proportion for both triangles remains constant. So:
, where<em> x is the height of the pole.</em> - x is solved as:
. Meaning that the flagpole has 14.85 feet of height. - Then when the height is compared to the distance from its base to your home, it is found that the pole is shorter then, there is no risk of the pole falling into your house.
Answer:
18
Step-by-step explanation:
Solve the separate part of the equation first
6(4) 6(-2) would equal 24-12
Add it back in to get: 10 - 4 + 24 - 12
-4-12 and 10+24 are the like terms so
10+24 = 34 and -4-12 = -16
Equation in the end: 34-16
Simplify that to: 34-16 = 18