The picture shows a triangular island: Which expression shows the value of q? r cos 55°
r sin 55°
s/sin55°
s/cos55°

In trigonometric ratios, the cos (x) = adjacent over hypotenuse.

Therefore, in the diagram,  cos (55°) = s/q

To isolate q, divide both sides by s

cos (55°) / s = 1/ q

Then flip both numerators and denominators (raise both sides to the power of -1)

q = s / cos (55°)

S/cos 55

Step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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