Answer:
Step-by-step explanation:
8 minutes × (¾ inch)/minute = 8×¾ inches = 6 inches
Answer:
<-6,-4>
Step-by-step explanation:
To find u+v, all you have to do is add the corresponding components of each.
That is for example on this problem, you would do
<-3,-5>+<-3,1>
=<-3+-3,-5+1>
=<-6,-4>.
You must find the relative rates of both workers...
T=f/3 and J=f/2 so if they work together to clear the field then:
ft/3+ft/2=f make all terms have a common denominator of 6
(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f
2ft/6+3ft/6=6f/6 multiply both sides by 6
2ft+3ft=6f divide both sides by f
2t+3t=6 combine like terms on left side
5t=6 divide both sides by 5
t=6/5 hr
t=1 1/5 hr
t=1 hr 12 min
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
Answer:
V = 12π
Step-by-step explanation:
Given radius of cone, r = 3 and y = 5
by Pythagorean theorem (or by recognizing that this is a standard 3-4-5 right triangle), we can determine that height of cone, x = 4 in
volume of cone is given by :
V= (1/3) πr²x
= (1/3) x π x 3² x 4
V = 12π
