If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:
x+y+z= 22
y is shorter than x by 5 inches so y= x-5
z is longer than y by 2 inches therefore z= x-5 +2
therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
replace x in y and z in previous formations
Answer:
Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving
Step-by-step explanation:
Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.
Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear
- Dependent Variable is the 'Tire tread wear '.
- Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc
Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.
In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.
6. Is 6MPH because 12M / 2H
8. Is 40Seconds because 120 / 3
10. Is 113.3 seconds
Answer: True.
The ancient Greeks could bisect an angle using only a compass and straightedge.
Step-by-step explanation:
The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.
The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.
Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.
This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.
As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .
<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
