Answer:The base of the ladder from the tree is 28ft
Step-by-step explanation:
Using pythagorean theorem
Let 100ft= hypothesis is the right angle triangle
Let 96ft be the height of the ladder
Let x be the base of the right angle triangle between the base of the ladder and the tree
h^2=a^2+b^2
100^2=96^2 +b^2
10,000=9216 +b^2
b^2=10,000-9216
b=sqrt(784)
b=28ft
Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = -2(x + 2)² + 6
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
- Distribute -2: f(x) = -2x² - 8x - 8 + 6
- Combine like terms (constants): f(x) = -2x² - 8x - 2
That part is the median, which is 57.
Answer: The actual height of train = 4.896 meters.
Step-by-step explanation:
Since we have given that
Lina has a scale model of a modern train
Model is created at a scale is given by
1:48
Height of the model train = 102 millimeters
We need to find the actual height of the train.
Since there is direct variation between model and actual height of the train.
According to question,
Hence, the actual height of train = 4.896 meters.
