The tree is 820 inches tall using the similarity of triangles.
To get the height of the tree, we will use the properties of similar triangles expressed as:

- Note that 1 foot = 12inches
- 7ft = 84in and 82ft = 984in
- h is the required height of the tree. Simplify the equation above to get the height "h" and replace feet with inches;

Hence the tree is 820 inches tall using the similarity of triangles.
Learn more on similarities of triangles here: brainly.com/question/24295402
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm
Answer:
73 feet.
Step-by-step explanation:
Given:
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.
The pole is 48 ft tall.
Question asked:
What is the length of the rope?
Solution:
Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,
Base = 55 feet
Height = 48 feet
Length of the rope = ?
By Pythagoras theorem:
Square of longest side = Square of base + Square of height



Taking root both side
![\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B%28Longest%5C%20side%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%5B2%5D%7B5329%7D)

Thus, length of the rope is 73 feet.
c
The domain of the function is all real numbers greater than or equal to 0.
The range of the function is all real numbers greater than or equal to −1.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all real numbers less than or equal to 0
Answer:
Step-by-step explanation:
(-13 - 7)/(-1 + 3) = -20/2 = -10
y - 7 = -10(x - 3)
y - 7 = -10x + 30
y = - 10x + 37