A college some completed some courses worth 3 credits and some courses worth 4 credits. The students earned a total of 59 credit
1 answer:
The student completed 13 courses with 3 credit hours.
Step-by-step explanation:
Total credit hours = 59 credits hours
Total courses = 18
Let,
3 credit hours courses = x
4 credit hours courses = y
According to statement;
x+y=18 Eqn 1
3x+4y=59 Eqn 2
Multiplying Eqn 1 by 3
Subtracting Eqn 3 from Eqn 2
Putting y=5 in Eqn 1
The student completed 13 courses with 3 credit hours.
Keywords: linear equation, elimination method
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See the attached figure to better understand the problem
we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft
in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft
<span>the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft
the answer is
</span>the distance between the ships is 767.4 ft<span>
</span>
we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft
in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft
<span>the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft
the answer is
</span>the distance between the ships is 767.4 ft<span>
</span>
Answer: 16 cm^2.
Step-by-step explanation: The volume of a pyramid is equal to one-third the product of the area of the base and the height:
In this case, the base is a square, so its area is:
A=L^2 where "L" is the lenght of the base edge
So the volume would be:
V=16*3/3