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dolphi86 [110]
3 years ago
15

I need help! I know the answer, I just don't know how to get it. The answer is 69.25 seconds.

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

9614 1404 393

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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4 0
4 years ago
In △ABC, AB = 13.2m,
luda_lava [24]

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

\frac{sin A}{a} =  \frac{sin C}{c}

A = ?

a=6.9

C=90

c=13.2

\frac{sin A}{6.9} = \frac{sin 90}{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,

\frac{sin 134}{13.2}  = \frac{sin 14.5}{AH}

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

8 0
3 years ago
Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


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Thus, 400 blue marbles need to be added to the bag.


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