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3 years ago

11

Jason has 39 cards and Mitch as 51 cards. The total number of cards that the boys have is 3 times the number of cards that Steve

has. How many cards does Steve have?

1 answer:

icang [17]3 years ago

4 0

Steve has 30 cards if you add 39 and 51 in the divided by three you will get 30 which is the amount of cards Steve has

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Prove that tan60+tan70-tan50+tan10=2sqrt3?

LiRa [457]

{tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}

<span>ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to: </span>

<span>= 8*tan(10)/{1 - 3*tan²(10)} </span>

<span>iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10) </span>

<span>= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3*tan(30) = 3*(1/√3) = √3 [Proved] </span>

<span>[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)}, </span>
<span>{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>

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3 years ago

What is 9+9(2+4)÷3-2 equal

lesantik [10]

First, we must follow PEMDAS. (Parenthesis, exponents, division, multiplication, addition, and subtraction.).

We do what's in the parenthesis first.

9+9(2+4)÷3-2.

2+4=6.

Now our problem looks like this;

9+9(6)÷3-2
OR
9+9×6÷3-2.

Anything in a parenthesis with no sign next to it, like this; 8(2), just means multiplication, so it would look like this: 8×2.

Next, we do all the multiplication in our problem.

9+9×6÷3-2.

9×6=54.

Now our problem looks like this;

9+54÷3-2.

Next, we do the division.

9+54÷3-2

54÷3=18.

Now our problem looks like this;

9+18-2.

Next, we do the addition.

9+18-2

9+18=27

Now it looks like this;

27-2.

Finally, we subtract.

27-2=25.

Your final answer is 25!

Have a nice day! :)

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