Equation of the line joining the points R(-1,6) and S(5,5)
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
<h3>Angle of elevation and depression</h3>
From the question given, we have the following parameters
Base of the building = 7feet
Height of the building = 18 feet
Required
angle of elevation
Using the SOH CAH TOA identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Learn more on angle of elevation here: brainly.com/question/88158
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Question:
<em>A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.</em>
Answer:
(3,4)
Step-by-step explanation:
The system of equations is:
x+6y=27
7x-3y=9.
I looked up "metodo de igualacion". It is basically American for doing substitution.
However, the only difference is you are asked to solve both equations for a variable.
The first equation looks easy to solve for x. So I'm going to solve both equations for x.
x+6y=27
Subtract 6y on both sides:
x =-6y+27
7x-3y=9
Add 3y on both sides:
7x =3y+9
Divide both sides by 7:
x =3/7 y +9/7
So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.
So we have
-6y+27=3/7 y +9/7
I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:
-42y+189=3y + 9
Now add 42y on both sides:
189=45y+9
Subtract 9 on both sides:
180=45y
Divide both sides by 45:
4=y
If 4=y, then y=4.
So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.
I like the x=-6y+27 with y=4.
So replace y with giving you:
x=-6(4)+27
x=-24+27
x=3
So the solution is (x,y)=(3,4).
x=3 and y=4.
Answer:
a=95.0 in^2
Step-by-step explanation:
The area of a circle is:
a=
r^2
First, we must find the radius
r=d/2
r=11/2
r=5.5
Substitute 5.5 in for r in the formula
a=5.5^2
a=30.25
Substitute 3.14 in for pi
a=3.14*30.25
a=94.985
Rounded to the nearest tenth:
a=95.0 in^2
Hope this helps! :)
Answer:
Step-by-step explanation:
There is nothing you could put into the brackets that will give you a negative answer. We should just graph this to see if that is true or not. Graphs are the last word in this kind of question.
See below.
The graph is the first part: y = |5x +7|
It is the red graph.
The second line of interest is y = - 7. It is blue.
Do you see that these two graphs do not intersect?
Because they don't, there is no solution. Any marker will accept this explanation and the graph. You should be fine with just this much.
