Answer:
The height of the tree is H = 77.06 m
Step-by-step explanation:
From Δ ABC
AB = height of the tree

h = 0.9623 x ------- (1)
From Δ ABD

h = 0.77 (x + 20) ----- (2)
Equating Equation 1 & 2 we get
0.9623 x = 0.77 (x + 20)
0.9623 x = 0.77 x + 15.4
x (0.1923) = 15.4
x = 80.08 m
Thus the height of the tree is given by
H = 0.9623 x
H = 0.9623 × 80.08
H = 77.06 m
Therefore the height of the tree is H = 77.06 m
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
Answer:
Then, the area of the right angle triangle AED is 84in^2.
Step-by-step explanation:
The triangle AED is a right angle triangle
And the area of a triangle is given as
Area=1/2base ×height
The base is 14in
And the height is 12in
Then,
Area=1/2base ×height
Area = 1/2 ×14 ×12
Area = 84in^2
Then, the area of the right angle triangle AED is 84in^2.
Answer:
7/10
Step-by-step explanation:
3/10+2/5
You have to make like denominators
So you multiply 2/5 by 2 since 1/ is the common denominator.
Then you add them
Hope this helped
Answer:
All the points on (x - 2)² + (y - 5)² = 100
Step-by-step explanation:
It should be the circle with its center on point (2,5) and radius is 10.
(h , k) : center of circle (2,5) h = 2 k = 5
r: radius r = 10
Circle: (x - h)² + (y - k)² = r²
(x - 2)² + (y - 5)² = 100