If t=29.6 and r=9.5, find r. round to the nearest tenth.

The correct answer is option c.  18.7°

Step-by-step explanation:

From the given figure we can see that a right angled triangle RST

Right angled at T

To find the value of R

It is given that, t =29.6 and r = 9.5

Sin R = Opposite side/Hypotenuse

Sin R = ST/SR = r/t = 9.5/29.6 = 0.3209

R = Sin⁻¹ (0.3209) = 18.7°

Therefore the correct answer is option c.  18.7°

24 units

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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