Because the triangle is an equilateral triangle, you know that all of the angles are equal to 60°. That means that you can use trigonometry to find the height, which would be sin(60) × 20 = 17.32.
Again, because it is an equilateral triangle, all sides are equal as well, meaning that the base is also 20cm. To find the area of the triangle, we must do (20 × 17.32)/2 = 173.2cm^2, which is the area.
I hope this helps!
20 days
x=number of days vacation
y=daily expenses
xy=1100
(x+2)(y-5)=1100
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xy-5x+2y-10=1100
xy-5x+2y=1110
y=1100/x
x(1100/x)-5x+2(1100/x)=1110
1100-5x+(2200/x)=1110
-5x+(2200/x)=10
-5x^2 + 2200 = 10x
-x^2 + (440) = 2x
x^2 - 440 + 2x = 0
(x+22)(x-20)=0
x=-22,20
only take the positive answer because the negative answer doesn't make sense in the question
so the answer is 20
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I might be wrong; this question probation should've been this hard so I might have taken a wrong turn somewhere. feel free to double check my work
Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)
Answer:
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the common difference between the numbers.
If we are looking for the 91st term, our n = 91;
our a1 is 28, and
the common difference is -20. Putting all that together gives us the explicit formula for this sequence:
and
and
so
X and y are proportional with d and f
