Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus 
the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of 
.
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is 
. Thus the volume of the right prism is 
. This gives us 
, and thus h = 30 cm.
(x + 3) is a factor so x = -3 must be a root.
Using the data for each truck lets calculate,
median for truck 1 - 511.5
median for truck 2 - 650.5
lets consider each statement
A.medians for both trucks are the same - wrong
median for 1 and 2 are 511.5 and 650.5 respectively
B. the two trucks sold most number of tacos on 3rd day
truck 1 sold 437 on day 3 but highest number it sold was 721 on day 1
truck 2 sold 426 on day 3 but highest number was 732 on day 6
therefore this statement too is wrong
C.
truck 1 - range between maximum(721) and minimum(425) = 296
truck 2 - maximum (732) and minimum (426) difference = 306
the range between maximum and minimum in truck 2 is 306 thats greater than range between maximum and minimum in truck 1, that's 296
therefore this statement is correct
D.
total number of tacos for each truck -
truck 1 - 5291
truck 2 - 6107
food truck 1 sold less than truck 2 therefore this statement too is wrong
Answer:
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Step-by-step explanation:
It's a rectangle so the diagonals are equal
7x - 9 = 2x + 62
Subtract 2x from both sides
5x - 9 = 62
Add 9 to both sides
5x = 71
Divide both sides by 5
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Answer:
its how much money he will get
Step-by-step explanation:
