(1089.8+69.98% of 399)= ${?}^2$+73.98

What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)

`. Let's double-check all tags and MathML validity. MathML for \(?^2\): `${?}^2$` Let's format the complete output carefully. 36

The correct option is 36.

To find the approximate value of question mark (?), we need to simplify the given expression by rounding off the numbers to their nearest logical integers.

Given equation:

$(1089.8+69.98\%\text{ of }399)={?}^2+73.98$

Approximating the values:

1089.8 ≈ 1090
69.98% ≈ 70%
399 ≈ 400
73.98 ≈ 74

Now, substitute these approximate values into the equation:

$1090+(70\%\text{ of }400)={?}^2+74$

Step 1: Calculate 70% of 400:

$70\%\text{ of }400=\frac{70}{100}\times 400=70\times 4=280$

Step 2: Add 1090 and 280:

$1090+280=1370$

Step 3: Solve for ?²:

$1370={?}^2+74$

${?}^2=1370-74$

${?}^2=1296$

Step 4: Take the square root on both sides to find ?:

$?=\sqrt{1296}$

$?=36$

Hence, the approximate value in place of the question mark (?) is 36.