The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is
Need to determine value of r.
Slope of a line passing through point is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
<span>The ratio of 3 to 4 can be written in all the following ways except 4/3. </span>
Angle to the top of the building or base of the tower = 36 degrees
Angle to the top of the radio tower on the building = 46 degrees
Distance from the base at which the surveyor is standing = 67 meters
Let us assume the distance of the base of the tower from the surveyor = x1
Let us assume the distance of the top of the tower from the surveyor = x2
Then
tan(36) = x1/67
x1 = 67 tan(36)
and
tan(46) - x2/67
x2 = 67 tan(46)
Now
x2 - x1 = 67 tan(46) - 67 tan(36)
= 20.702
= 20.7 m
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".
180 min
Explanation:
3
×
10 min
=
30 min
In 6 hours, Mr. White takes a total of 30 min in breaks.
36 h
=
6 h
×
6
In 36 hours
, there are 6 sets of 6 h
.
Hence we can multiply the number of minutes in breaks taken in
6 h
ours by 6 to obtain the number of minutes in breaks taken in 36 h
ours.
30 min
×
6
=
180 min
In case you still need the answer, I can help.
Let's take a look at what the line segments would look like with those angles.
https://www.desmos.com/calculator/sfsty752zk
I used that site and entered the angles like so:
http://imgur.com/a/o7ChV
This is the triangle it made:
http://imgur.com/a/BPQUp
Here I have labeled it for you:
http://imgur.com/a/CV6Nm
In case it wasn't clear, here's the colors to letters:
AB: Green
AC: Red
BC: Blue
AB is the longest.
AC is the second longest.
BC is the shortest.
I don't know exactly how to explain this, but I believe the answer is:
<span>AB, AC, BC
</span>
Hope this helps you and hopefully I'm not too late :)