Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of
1 answer:
You might be interested in
The bearing of the tree from Q is 296.565°
<h3>How to determine the height of the tree?</h3>The figure that illustrates the bearing and the distance is added as an attachment
The given parameters are:
Base of the tree, b = 50 meters
Angle (x) = 32 degrees
Calculate the height (h) of the tree using:
tan(x) = height/base
So, we have:
tan(32°) = h/50
Make h the subject
h= 50 × tan(32°)
Evaluate
h = 31.24
Hence, the height of the tree is 31.24 meters
<h3>How to determine the distance between Q and the base of the tree?</h3>The distance (d) between Q and the base of the tree
This is calculated using the following Pythagoras theorem
d = √(100² + 50²)
Evaluate
d = 111.80
Hence, the distance between Q and the base of the tree is 111.80 meters
<h3>How to determine the angle of elevation?</h3>The angle of elevation (x) using the following tangent trigonometric ratio
tan(x) = h/d
This gives
tan(x) = 31.24/111.80
Evaluate the quotient
tan(x) = 0.2794
Take the arc tan of both sides
x = 15.61
<h3>The bearing of the tree from Q </h3>This is calculated using:
Angle of bearing = 270 + arctan(50/100)
Evaluate the arc tan
Angle of bearing = 270 + 26.565
Evaluate the sum
Angle of bearing = 296.565
Hence, the bearing of the tree from Q is 296.565 degrees
Read more about bearings at:
#SPJ1
Answer and Step-by-step explanation:
Notice that both these points are in the form of (x, y). "x" indicates that on the left-right axis (x axis), the point is x units away from the origin (0, 0). "y" indicates that on the up-down axis (y axis), the point is y units away from the origin.
In (4, 6), x = 4 and y = 6. This means that the point (4, 6) is 4 units to the right of the origin and 6 units up (see red dot on attachment).
In (6, 4), x = 6 and y = 4. This means that the point (6, 4) is 6 units to the right of the origin and 4 units up (see blue dot on attachment).
As can be seen, these two points do NOT coincide, so they are different.
