<span>Call x the score on his fifth test. Then the average (arithmetic mean) of the five test will be: (85 + 92 + 82 + 94 + x) / 5. That is equal to (353 + x ) / 5. The teacher said that the new score, x, is 5 points lower than the average, then x = (353 + x) / 5 - 5 . Answer: Markus could use the equation x = (353 - x)/ 5 - 5 (or an equivalent form of it) </span>
Answer:
x = 14.25
Step-by-step explanation:
Start with a^2 + b^2 = c^2
a = 11
b = x
c = 18
plug in and solve
11^2 + x^2 = 18^2
121 + x^2 = 324 - Simplify
x^2 = 203 - subtract 121 from both sides
x = 14.247 rounds to 14.25 - square root on both sides
<span>Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation.
A = 75((125+81)/2)
A = 75(206/2)
A = 75(103)
A = 7725
The area of the field is 7725 square feet.</span>
Answer:
BD = 26
The measure of angle ADB = 59 degrees
The measure of angle DEC = 118 degrees
Step-by-step explanation:
BD = 2 * EC = 2 * 13 = 26
The measure of angle ADB = 90 - 31 = 59 degrees
The measure of angle DEC = 180 - 2(31) = 180-62 = 118 degrees
Answer:(3 * h^12 *k^2)/2
Step-by-step explanation:First distribute the exponent 6 to the terms inside, so you get 3h^12 *k^6/2k^4 ,then divide k^6 by k^4 to get k^2 on top.