Area of a trapezoid: (top + bottom)/2 x height
Area = (6.5 + 15.1)/2 x 5
Area = 21.6/2 x 5
Area = 10.8 x 5
Area = 54 square inches.
I think it’s A because they only intersect once.
Make each known side into a ratio like so...
75/6
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x
(50 is how tall the building is and sarah's height is what needs to be found)
Therefore,
75 50
---- -----
6 x
Do cross products;
50 x 6 = 75 x X
300 = 75x
Divide by 75
x = 4ft
An athletic director pays $90 for 12 sun visors for the
softball team. The rate per sun visor is equal to $90 / 12 sun visor = $ 7.5
per sun visor. So the athletic director should pay ($ 7.5 per sun visor)*(15
sun visor) = $ 112.5
Answer:
B) -3/2
Step-by-step explanation:
If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.
Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.
Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.
