Answer:
sin Ф = 3/√13; cos Ф = 2/√13; and tan Ф = 3/2
Step-by-step explanation:
Let's assume we're limiting ourselves to Quadrant I.
Start with the tangent function. tan Ф = opp / adj.
In this case opp = 3 and adj = 2.
The length of the hypotenuse is found using the Pythagorean Theorem and is √(3² + 2²) = √13.
Then sin Ф = opp / hyp = 3/√13 or 3√13/13
and
cos Ф = adj / hyp = 2/√13 or 2√13/13
and (as before)
tan Ф = opp / adj = 3/2
There are 65 boys, and the boy ratio is 13: so to find how they got that, divide 65 by 13 and that is 5. Since we now know it is the amount of people, divided by 5, we can take the girl ratio (15) and multiply it by 5 to get the amount of girls (which is 75). You need to find the total amount of students in the class so add the boys and girls (65+75) and get 140 total students
Answer:
408
Step-by-step explanation:
The answer is like adding 34, 12 times. Example:
34+34+34+34+34+34+34+34+34+34+34+34=408
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1 2 3 4 5 6 7 8 9 10 11 12
Answer:
angle s = 22
angle r = 117
angle q = 41
Step-by-step explanation:
so all of the angles equal to 180 degrees in a triangle
so you add all of t he angles like this:
x+5x+7x+2x-3=180
collect all of the like terms,
8x + 4 = 180
subtract 4 from both sides, which leaves you with 8x = 176
divide both sides by 8 leaving x on its own.
x = 22
angle s = 22
angle r = (5x22)+7 which is 117
angles q = (2x22)-3 which is 41
Es A. OuO okay Lol hope it works out