a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
t. if the car has maintained a constant spead of 40 miles per hour, how far is it from the starting position/
1 answer:
Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = ; y = 20 sin 45 ; y= 14.14 miles
cos 45 = ; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+
= +
= 3131.08
=
z = 55.96 miles
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Answer: A. 85.7
Step-by-step explanation:
Given : Two sections of a class took the same quiz.
Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.
We know that ,
Then , for section A :
Similarly in Section B,
Total scores = Sum of scores in sec A+Sum of scores in sec B
=1200+1800=3000
Total students = Students in sec A +Students in sec B
=15+20=35
Now , the mean score for all of the students on the quiz =
Hence, the approximate mean score for all of the students on the quiz = 85.7
Thus , the correct answer is option A. 85.7.
Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:
Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:
You can observe that this matches with the first option.