Answer:
17. 42
18. 12
19. 12
20. 12
Step-by-step explanation:
Simply substitute the given values into the variables. So if m = 6 and n = 2:
7m = 7(6) = 42
6n = 6(2) = 12
mn = (6)(2) = 12
3m - 6 = 3(6) - 6 = 18 - 6 = 12
Using simpler trigonometric identities, the given identity was proven below.
<h3>
How to solve the trigonometric identity?</h3>
Remember that:
Then the identity can be rewritten as:
Now we can multiply both sides by cos⁴(x) to get:
Now we can use the identity:
sin²(x) + cos²(x) = 1
Thus, the identity was proven.
If you want to learn more about trigonometric identities:
brainly.com/question/7331447
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Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
Answer:
56:42 (i hope this is right)
Step-by-step explanation:
I divided 56 and 4 which makes 14. Then I multiplied 14 and 3 to get 42. So 56 by 42.
Answer:
d=32!!!
Step-by-step explanation:
So first rewrite it as an equation: d/4+12=20
d/4+12=20 then subtract 12 from both sides to balance the equation
d/4=8 so multply both sides by 4 to isolate the variable, 4(d/4)=d =d and 8x4=32, so d=32
