Cos(angle) = Adjacent Leg / Hypotenuse
cos(35) = 9 / x
x = 9 / cos(35)
x = 10.99
Rounded to nearest tenth = 11.0
Given that a certain antihistamine is often prescribed for allergies.
And typical dose for 100-pound person is 25 mg every 6 hours.
a) Let us calculate dose per 1 hour for 100-pound person= 
Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours
The number of 12.8 chew able tablets would be taken in a week= 
Hence number of 12.8mg chew able tablets would be taken in a week is 55.
b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.
Hence amount of liquid histamine should a 100-pound person take in a week = 55X9
=495ml
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
Answer:-5
Step-by-step explanation:
-6n-6+1+6n
Subtract -6 from 1 which equals -5
Cancel the -6n+6n
And there you have it
-5
