Answer:
Height = 21.78 ft
Step-by-step explanation:
Tan θ = opposite / Adjacent
tan 40 = opposite / 20
where opposite is the part of the traffic light
0.839 × 20 = opposite
opposite = 16.78 ft
Now the total height of traffic light = 16.78 ft +5 ft
Total Height = 21.78 ft
We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
Answer:
Diameter: the straight distance from one edge of a circle to the other
Radius: the straight distance from one edge of a circle to the center
I hope this helps :)
Answer:
Each tulip costs $1.50
Step-by-step explanation:
First, write an equation using the numbers given. It should look like this:
2.25(8) + 5x = 25.50
Next, multiply 2.25 by 8 to get: 18 + 5x = 25.50. Then, subtract 18 from both sides:
18 + 5x = 25.50
-18 -18
5x = 7.50
Finally, divide both sides of the equation by 5 to get $1.50
So, each tulip costs $1.50. Hope this helped!
Answer:

Step-by-step explanation:
So we have the equation:

Combine like terms:

Add:

Add 16 to both sides:

Divide both sides by 8:

So, our answer is 24.5 :)