Answer:
80 m/s
Step-by-step explanation:
Answer:
F = 3x +(2.7×10^7)/x
Step-by-step explanation:
The formulas for area and perimeter of a rectangle can be used to find the desired function.
<h3>Area</h3>
The area of the rectangle will be the product of its dimensions:
A = LW
Using the given values, we have ...
13.5×10^6 = xy
Solving for y gives ...
y = (13.5×10^6)/x
<h3>Perimeter</h3>
The perimeter of the rectangle is the sum of the side lengths:
P = 2(L+W) = 2(x+y)
<h3>Fence length</h3>
The total amount of fence required is the perimeter plus one more section that is x feet long.
F = 2(x +y) +x = 3x +2y
Substituting for y, we have a function of x:
F = 3x +(2.7×10^7)/x
__
<em>Additional comment</em>
The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.
Answer:
60, 36, 84
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.
180/15 = 12
Each value is 'worth' 12 degrees.
Thus the angles would be the ratios multiplied by 12.
5 x 12 = 60
3 x 12 = 36
7 x 12 = 84
Answer: 65,780
Step-by-step explanation:
When we select r things from n things , we use combinations and the number of ways to select r things = 
Given : The total number of playing cards in a deck = 52
The number of different five-card hands possible from a deck = 2,598,960
In a deck , there are 26 black cards and 26 red cards.
The number of ways to select 5 cards from 26 cards = 
Hence, the number of different five-card hands possible from a deck of 52 playing cards such that all are black cards = 65,780
