The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .
Given :
A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .
Trigonometric Formula for Tan θ
tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .
where θ = 25 , perpendicular = 12 , base = x .
Substituting values in above first formula ,
tan 25 = 12 / x
Therefore , x = 12 / tan ( 25 ) .
Hence , a = 12 and b = 25 .
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Step-by-step explanation:
- Number of red = 2
- Number of blue = 5
- Number of green = 3
- total number of marbles = 10
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Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Let area of triangle AEC = x
Area of triangle BAC = 1/2 * 15 * 12 = 90
Area of triangle DCA = 1/2 * 15 * 6 = 45
90 = p + x and
45 = q + x Subtracting the 2 equations:-
90 - 45 = p - q
Answer p - q = 45
Well, for the first question, the answers will be (a) 13 per row, because 13*13=169, and (b) a square, because the dimensions will be 13x13.
