The aspect ratio (length to width) of an lcd computer monitor is 5 : 4. the lcd monitor of a toshiba laptop computer has a perimeter of 32.4 inches. what is the diagonal measure of the screen? round to the nearest tenth of an inch.

Solution:

Formula of perimeter =

So, 2W + 2H = 32.4         ... (1)

Ratio = 5:4

So,

4W - 5H = 0         ... (2)

Solve equation (1) and (2).

W = 9.0 and H = 7.2

Use the Pythagorean theorem,

D = 11.52

D = 11.5

Hence, the measure of diagonal is 11.5 inches.

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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step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}