Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) = 
, thus
= tan(24 + 32)° = tan56°
Answer: Choice C and Choice D
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Explanation:
- Choice A doesn't work because it the $1 should be $7 instead.
- Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.
- Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.
- Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.
- Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.
First problem:
The answer is C because theoretically it should have a 50% of landing
heads but instead it lands heads 56% of the time. Thus this is 6% higher
than 50%. It's not D because there is not specified detail of how the
person got this data so you can assume that the person did a fair
survey/data collection.
Second problem:
So in a data size of 490, 140 of them we trout. This means that 140/490 or 28.57% of the fish are trout. This means that in a sample size of 5000 fish, 5000*0.2857 or 1428.57 are trout.
Third problem:
The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
(41+42+43+43+46+46+47+49+49)/9=45.111
40*52= 2080
34840 / 2080 = $16.75 an hour
Answer:
y = 8 or y = -14
Step-by-step explanation:
Solve for y over the real numbers:
abs(y + 3) - 4 = 7
Add 4 to both sides:
abs(y + 3) = 11
Split the equation into two possible cases:
y + 3 = 11 or y + 3 = -11
Subtract 3 from both sides:
y = 8 or y + 3 = -11
Subtract 3 from both sides:
Answer: y = 8 or y = -14
