He was using an isosceles right triangle.
Both legs of an isosceles triangle are the same length, so knowing that when the shadow of the triangle was the same height as the triangle, then he knew that the shadow of an object would also be the same as it's height.
Step-by-step explanation:
- <em>-x-4=</em><em>4</em><em>x</em><em>-</em><em>5</em><em>4</em>
Adding x on both sides, we get
- <em>-x-4+</em><em>x=</em><em>4</em><em>x</em><em>-</em><em>5</em><em>4</em><em>+</em><em>x</em>
- <em>-</em><em>4</em><em>=</em><em>5</em><em>x</em><em>-</em><em>5</em><em>4</em>
Adding 54 on both sides, we get
- <em>-</em><em>4</em><em>+</em><em>5</em><em>4</em><em>=</em><em>5</em><em>x</em><em>-</em><em>5</em><em>4</em><em>+</em><em>5</em><em>4</em>
- <em>5</em><em>0</em><em>=</em><em>5</em><em>x</em>
Dividing both sides by 5, we get
- <em>5</em><em>0</em><em>/</em><em>5</em><em>=</em><em>5</em><em>x</em><em>/</em><em>5</em>
- <em>1</em><em>0</em><em>=</em><em>x</em>
<em>Hence,</em><em> </em><em>the </em><em>value</em><em> of</em><em> x</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>.</em>
Answer:
System has equal number of unknowns and equations.
Manipulation easily yielded expressions for 4 of the 7 unknowns.
However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.
Is this possible, or did I most probably make a mistake in counting degrees of freedom?
Step-by-step explanation:
Answer:
C = 62.8 m
Step-by-step explanation:
The circumference formula is C = πd.
Here d = 20 m. Therefore, the circumference of this circle is C = (20 m)π.
To the nearest 10th, we round off C = (20 m)(3.14159) = C = 62.8 m
Answer:
<em>The air balloon descends 26.5 feet per minute</em>
Step-by-step explanation:
<u>Rate of Change</u>
The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.
The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:
Thus the air balloon descends 26.5 feet per minute