Recall that
sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)
sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)
Adding these together gives
sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)
To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :
7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
I think you might have forgotten to add Suresh typing speed table....
Time (min) Total words
0.5 28
3 168
14 784
We can easily obtain Suresh typing speed by dividing Total Words/Time
Time (min) Total words Speed (Words/min)
0.5 28 56
3 168 56
14 784 56
And we know that Nancie's typing speed is 35 Words/ min
So, Nancie's rate is less than Suresh's/
Answer: The position of -24 is to the left of -14.
The position of -14 is to the right of -24.
Step-by-step explanation:
We can conclude that -18 < -2.
We can conclude that -14> -24.
9514 1404 393
Answer:
33.3%
Step-by-step explanation:
The selling price of £42 is (1 +40%) times the total purchase price.
1.40 × purchase price = £42
purchase price = £42/1.40 = £30
The total profit is 40% of this, so is ...
£30 × 40% = £12
The purchase price of the skirt is ...
total cost - glove cost = skirt cost = £30 -3 = £27
The profit on the skirt is ...
total profit - glove profit = skirt profit = £12 -100% × £3 = £9
Then the percentage profit on the skirt is ...
skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%
The percentage profit on the cost of the skirt was 33.3%.
The following data show the prices of different types of outfits at a store: $2, $2, $28, $26, $25, $27, $25, $27, $26, $28, $30
wlad13 [49]
Answer:
The box plot will have its left tail longer than the right tail becuase a few exceptionally low prices make the distribution skewed to the left.
Step-by-step explanation:
As seen in the attached file, the box plot has its left tail longer than the right tail because of the exceptionally low prices that is :$2
Firstly arranging the data in increasing order:
$2,$2,$25,$25,$26,$26,$27,$27,$28,$28,$30
Median of the data = 26 (since there are odd numbers)
Lower quartile (Q1) = 25
Upper quartile (Q2) = 26
By plotting the box plot we conclude that the left tail is longer than the right tail.
