Because the area of a trapezoid is A= ((a+b)/2)h, where a is the length of the top, b is the length of the base, and h is the height, you plug that in to find your answer.
This trapezoid is sideways, but the top of it is 7m (which is a) and the base is 10 m (which is b), add a and b to get 17, A = ((17)/2)h
Now divide by 2 to get A = (8.5)h
Because the height is 9, A = (8.5)9 = 76.5
The area of the trapezoid alone is 76.5m
Downstream DATA:
distance = 12 miles
time = 2 hours
rate = 12/2 = 6 mph
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Upstream DATA:
distance = 12 miles
time = 4 hrs
rate = 12/4 = 3 mph
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Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
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Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
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Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph
To work out what percent of 60 is 150 just do the following:
150 / 60 = 2.5
2.5 x 100 = 250
Therefore 150 is 250% of 60. Hope I helped!
I would say 28 or 25 it's one of them I forgot it
We will break this down into its parts:
We know that this is a fraction where the numerator is √(-1) = i
The denominator:
4 - 3i - (2 + 5i); we put 2 + 5i in brackets because we are to subtract its quantity.
Simplifying the denominator:
4 - 3i - 2 - 5i
= 2 - 8i
Now, we write the expression in fractional form:
i / (2 - 8i)
To remove an imaginary number from the denominator, we multiply and divide by its conjugate. The conjugate of a + bi is a - bi
i(2 + 8i) / (2² - (8i)²)
= (-8 + 2i) / (4 + 64)
= -2/17 + i/34
