Answer: DC=30.5
Step-by-step explanation:
Use trigonometry to solve this question
----------------------------------------------------------
First Step: find BD
- AB relative to 54° is [hypotenues]
- BD relative to 54° is [opposite]
- Therefore, we need to use O/H, which is Sin
- sin(54°)=O/20=20·sin(54°)=16.2
Second Step: Find DC
- DC relative to 28° is [adjacent]
- BD relative to 28° is [opposite]
- Therefore, we need to use O/A, which is tan
- tan(28°)=16.2/A=16.2/tan(28°)=30.5
Hope this helps!! :)
Please let me know if you have any questions
First of all,we have to cancel off the denominator.
times 2 to the equation in order to cancel off the denominator "2"
(x2) x+2x-6/5=6
#all numbers in this equation will be timed by 2 as well
then times 5 to cancel off the denominator"5"
(x5) 5x+10x-6=30
#all of them are timed by 5
then u will see this equation:
5x+10x-6=30
plus up the unknown numbers,
15x-6=30
Move the negative number "-6" to the back of 30.
When negative number moved to the other side,it will become positive number.
Same as when positive number moved to the other side,it will become negative number.
Thus,
"-6” moved
become positive "6"
Usually positive means plus"+" while negative means minus"-".
15x=30+6
15x=36
Move 15 to the opposite side,
Timed by 15 become divided by 15.
Just like the positive and negative numbers,they forced to become the opposite things.
positive→negative OR negative→positive
plus→minus OR minus→plus
times→divide OR divide→times
Thus,
x=36÷15
OR u can write as fraction,
x=36/15
x=12/5
final ans:
x=12/5 OR 2.4
ANSWER: The equation of a line in slope-intercept form looks like the following: y = mx + b
where m is the slope of the line and b is the y-intercept.
Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
So, Whenever the slope (m) is undefined it means that when you try to
calculate the slope given any 2 points on the line you'll end up with a
zero in the denominator, which is undefined. That is, with an undefined
slope you end up with a vertical line, which has the equation "x=some
number".
m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical.
So the equation of a line, in slope-intercept form, with an undefined
slope (m=undefined) crossing through the point (-3, 5) is: x= -3 ,
which is a vertical line.
Hope this helps you
