Answer:
85 ft^2
5*6*2=60
5*5=25
25+60=85
Step-by-step explanation:
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Answer:
Cost to rent one tank=226.08 Dollars
Step-by-step explanation:
Radius of the cylindrical tank=3 feet
Height of the tank= 2 feet
Cost to rent one tank= Volume of one tank * cost to rent one cubic feet of volume
Volume of the cylindrical tank:
=
As, 
Putting the values in the formula:
Volume of the tank:
Cost to rent one cubic feet= 4 Dollars
Cost to rent 56.52 Cubic feet of one tank;
= 4*56.52
=226.08 Dollars
Step-by-step explanation:
1. How many terms are in the expression?
The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms
13x, -2y, -5x, and 8
2. Which terms are “like terms”?
13x and -5x are like terms.
3. Are there any constants? If so, what are they?
Yes there is a constant terms and it's 8
4. What are the variables in the expression?
The variables in this expression are x, and y
5. What are the coefficients in the expression?
Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5
Answer:
B. 187
Step-by-step explanation:
I think this is correct I took a test on this before
