Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
30 more
Step-by-step explanation:
hope it helps friend.
Answer: 8.94427
Step-by-step explanation: using the Pythagorean theorem which is A squared plus B squared equals C squared you can find this
