Answer:
77.25 cm^2
Step-by-step explanation:
Area of a regular octagon :
2a^2(1 + (sqrt2))
where a is the side
substitute 4 in for 'a'
7) You have the opposite. You need the adjacent.
x = 7.79289... =
<h2>7.8</h2><h2 />
8) You have the hypotenuse. You need the Opposite.
x = sin37 × 13
x = 7.8235... =
<h2>7.8</h2><h2 />
9) You have the hypotenuse. You need the opposite.
x = sin59 × 11
x = 9.4288.... =
<h2>9.4</h2><h2 />
10) You have the hypotenuse. You need the opposite.
x = sin53 × 11
x = 8.7459.... =
<h2>8.7</h2>
Answer:
The answer to your question is 10 hours.
Step-by-step explanation:
Inequality 12h + 240 > 360
Solve the inequality as if it was an equation
12h > 360 - 240
12h > 120
h > 120 / 12
h = 10 hours
Let's evaluate some number of hours
If h = 3 12(3) + 240 > 360
36 + 240 > 360
276 > 360 Incorrect, she needs to work more
than 3 hours
If h = 5 12(5) + 240 > 360
60 + 240 > 360
300 > 360 Incorrect, she needs to work more
than 5 hours
If h = 7 12(7) + 240 > 360
84 + 240 > 360
324 > 360 Incorrect she needs to work more
than 7 hours
If h = 11 12(11) + 240 > 360
132 + 240 > 360
372 > 360 Correct, she needs to work at least
10 hours.
Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.