The estimated area of the figure is 36 square foot.
Answer: The side of the square will be 3 cm.
Step-by-step explanation:
When squares of equal size of side x, are cut from the four corners, we are left with the following dimensions for the cuboid box.
l= 30-2x
b = 14-2x
h= x
Hence, the volume of the cuboid will be ,
V = lbh
= (30-2x)(14-2x)x
Since this volume should be the largest possible, then differentiating volume with x should be equal to zero.
Therefore, 

solving we get, x = 3, x = 
We can omit x =
because 14 - 2x < 0 , which is not possible.
Therefore, x=3.
Answer:
see below
Step-by-step explanation:
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
Answer:
Yes
Step-by-step explanation:
3 2/3 ~ 3.667
sqrt11 ~ 3.31662479
Answer:
Nine of the times for the first race were at least 16 seconds
Step-by-step explanation:
Here we have from the scatter plot, the times are given as
Time Frequency
19 2
18 2
17 2
16 3
15 1
Therefore, total number of times that are above 16 seconds in the first race is
3 + 2 + 2 + 2 = 9
Therefore, the first option is correct