a rectangles side lengths are 8 cm and 4 cm. Approximate the length of the diagonal of the rectangle to the nearest tenth.

8.4cm

Step-by-step explanation:

first you have to square both sides

8²+4²= Hypotenuse (the diagonal)

you'll get

56 + 16

next you add it, and it'll equal 72

lastly you'll find the square root of that number

which is going to give you 8.4

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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