I need help! I know the answer, I just don't know how to get it. The answer is 69.25 seconds.
1 answer:
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Answer:
add up the gaps and divide by their number
Step-by-step explanation:
You find the average gap time the same way you find any average: divide the total of the gap times by the number of them.
The four gaps total 4 minutes 37 seconds, or 277 seconds. Their average is ...
(277 s)/4 = 69.25 s
_____
Each gap is computed by subtracting the first cyclist's time from each of the others.
In a spreadsheet such as this one, time computation can be done fairly easily. For the final conversion to seconds, we have to account for the fact that the spreadsheet stores time internally as a number of days. The 0:04:37 is converted to 277 seconds by multiplying it by 86400, the number of seconds in a day.
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Answer:
(i) ∠ABH = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)
46° + <HBC + 90 = 180°
<HBC+ 136° = 180°
subtract 136 from both-side of the equation
<HBC+ 136° - 136° = 180° -136°
<HBC = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
=
A = ?
a=6.9
C=90
c=13.2
=
sin A = 6.9 sin 90 /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC + 121.5° = 180°
subtract 121.5° from both-side of the equation
<ABC + 121.5° - 121.5° = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
=58.5° - 44°
=14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180° ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB = 134°
Using sine rule,
=
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
Answer: The answer is 400 blue marbles.
Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.
So, number of red marbles is
and number of blue marbles is
Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be
Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then
Thus, 400 blue marbles need to be added to the bag.