Answer:
i think the answer is A 108
Step-by-step explanation:
( 1 / tan x ) + tan x = 1 / ( sin x cos x )
We will start with the left side:
( 1 / tan x ) + tan x = ( 1 / sinx/cosx ) + ( sin x / cos x ) =
= ( cos x / sin x ) + ( sin x / cos x ) =
= ( cos² x + sin² x ) / ( sin x cos x ) =
= 1 / ( sin x cos x ) , which is same as the right side. The identity is proved.
Answer: Tristan can pick them out in 6 different ways
Step-by-step explanation: In the waiting room the four magazines all have an equal chance of being picked first and then others would be picked subsequently. If we are to pick magazine A first of all, then the others would be picked as B, C and D, or C, B and D, or D, B and C, and so on.
However, rather than spend so much time counting the different ways we can apply the mathematical method of permutation. Since choosing the first one means we can’t choose it again but others have to be chosen, and all four magazines each has an equal chance of being chosen first, then the number of all possible permutations is given as 4! (four factorial).
The question requires us to chose three out of the four magazines, so we shall apply 3!.
3! = 3 x 2 x 1
3! = 6
Therefore, there are 6 different ways to pick three out of the four magazines
Answer:
Step-by-step explanation:
1. let x be the unknown number.
-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.
-The in equality is written as:
2.Let the amount Chris has be y.
-At most is a term of inclusivity implying less than or equal to a specified quantity.
-$5 less than twice y will therefore be represented as:
3. It is clear that the minimum age to have a drivers license is 16.
-Let x be the age of a driver whose age is unknown.
-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.
-Our inequality symbol is that of equal to or greater than, thus:
4. let x be the number of CD's bought and y of DVD's bought.
-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.
-They can only buy a number of units whose price is less than or exactly $65, thus:
Answer:
500 phones
Step-by-step explanation:
cost of manufacturing: y = 80x + 10,000
money from phone sales: y = 100x
* note: x = #phones
solve for when they're equal;
100x = 80x + 10,000
100x - 80x = 80x - 80x + 10,000
20x = 10,000 –––––––––––> divide both sides by 20
x = 500
