Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is 
From point B which is 18 m closer, it changes to 
Suppose the height of tree is h
From figure, we can write
Similarly
Deduce the value of h
Thus, the height of the tree is 13.8 m
X = short section of rope
4x = longer section of rope
x + 4x = 25
5x = 25
x = 5
…or in other words the shorter piece of rope is 5 feet long
The point which does not lie on the circle centered at (3,2) with radius 5 is given below.
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, 2) and r = 5,
hence
(x - 3)² + (y - 2)² = 25 ← equation of circle
If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.
1
(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle
2
(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle
3
(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle
4
(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle
Answer:
J Monica is right
Step-by-step explanation:
Add three to both sides, divide by 4 you get x
4
Answer:
7 Days
Step-by-step explanation:
Miles cost:
$0.10 * 200 = $20
Daily Cost
Her budget at this point is $330 because $350 - $20 (the miles)
$330 / 42.72 = Roughly 7.72
Therefore Zoey can drive for 7 days before her budget runs out.
