Answer:
4.11 miles.
Step-by-step explanation:
In the image that I am going to attach we can see the description of the statement in a graph, now, the right triangle is formed, and we can apply Pythagoras, and the hypotenuse would be equal to:
(5 ^ 2 + x ^ 2) ^ (1/2)
The speed is equal to:
V = d / t, therefore the time is t = d / V, the total time would then be:
total time = (5 ^ 2 + x ^ 2) ^ (1/2) / 3 + (7-x) / 6
we derive with respect to x, and we are left with:
dt / dx = x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) - 1/6 = 0
x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) = 1/6
6x / (3 = (5 ^ 2 + x ^ 2) ^ (1/2)
(2 * x) ^ 2 = (5 ^ 2 + x ^ 2)
4 * x ^ 2 = 25 + x ^ 2
3 * x ^ 2 = 25
x ^ 2 = 25/3
x = 2.88
now we replace
7 - x = 7 - 2.89 = 4.11
In other words, the answer is 4.11 miles.
Answer:
a) Destiny can run 1 mile is 6 minutes.
b) Destiny can walk back 1 mile is 16 minutes.
Step-by-step explanation:
The running rate of Destiny is
So, she runs 1 mile in 
= 6 minutes
Hence, Destiny can run 1 mile is 6 minutes.
The walking rate of Destiny is
So, she walks 1 mile in 
= 16 minutes
Hence, Destiny can walk back 1 mile is 16 minutes.
Answer:
Let l be length and w be the width
l = 2w+12
Area = (2w+12)*w = 224
2w^2 + 12w - 224 = 0
w^2 + 6w - 112 = 0
using quadratic formula
w=[ -6 +- {36- 4*1*(-112)}^0.5]/2*1
w = [-6 +- {484}^0.5]/2
w = [-6 +- {22}]/2
w = 16/2 or -28/2
w = either 8 or -14
Width can not be a negative number
wI’d think= 8 ft
length = 2*8+12 = 28 ft
Step-by-step explanation:
(5 * 4)/(2 * 1) = 20/2 = (( 10 or A ))
Answer:
Ummm wish I could help but where is the table?
Step-by-step explanation:
