The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
Answer:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
20. Set up two equations.
1) 4x + 10y=100
2) x+ y= 22
eliminate y by multiplying by -10 and solve for x.