The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse ⇒<span>
</span>altitude = √(9*3) = √27
<span>By the Pythagorean theorem:
y = </span>√(9² + (√27)²) = √(81+27) = √108 = 6√3 ← answer
If you would like to match each time with a time above, you can do this using the following steps:
a 3h 18m 7s = 11887s<span>
3h = 3 * 60m = 180m; 180m + 18m = 198m; 198m = 198 * 60s = </span>11880s; 11880s + 7s = 11887s
b <span> 8300min = approximately 5 days 18 hours
8300min = 8300 * 60s = </span>498000s
8300 min / 60 min = 138h 20min; 138h / 24h = 5 days 18 hours 20min
c 1461 days
1461 days = 1461 * 24 hours = 35064 hours
d <span>44640min. = 31 days
</span><span>44640min / 60min = 744 hours; 744 hours / 24 hours = 31 days
e </span><span>10:21:2.5
</span>10:21:2.5 = 10 hours, 21 minutes, 2 seconds, 50 milliseconds<span>
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It’s d because the slope is negative and it is 2/1 which can also be written as just 2. in the formula y=mx+b, m is the slope and b is the y-intercept. the y-intercept is where the line touches the y axis(in this case -1) so it would be written as y=2x+(-1)
N = 15
First you would add 5 to both sides.
Then you would Multiply 3 on both sides to get N by itself
By multiplying 3 x 5 it gives you 15
So N = 15
The number of pieces of card stock which would result upon the process repetition is; 256 pieces.
<h3>What is the number of card stock pieces resulting from the cutting process?</h3>
According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;
No of cards = 8 (2)⁵
No. of cards = 256 pieces.
The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.
Read more on exponential functions;
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