The area for a sector of a circle is 
. If our angle is 30 and our radius is 5, that fits in like so: 
. It appears that the first choice is what we want except you forgot to square all the radii.
Answer:
45.15 in total
Step-by-step explanation:
86 x 25/100
86 x 0.25
$21.50 was saved with 25 percent off
final price = 64.50 + 30% off
64.5 x 30/100
64.5 x 0.3
$19.35 saved with 30% off
64.50-19.35=45.15 in total
Answer:
The answer in the explanation
Step-by-step explanation:
we have
Step 1
Determine the least common denominator (LCD) of all fractions in the equation
The LCD is equal to
Step 2
Multiply both sides of the equation by 6 to remove the fractions
![6[\frac{1}{3}x-5]=6[\frac{5}{2}x-\frac{2}{3}]](https://tex.z-dn.net/?f=6%5B%5Cfrac%7B1%7D%7B3%7Dx-5%5D%3D6%5B%5Cfrac%7B5%7D%7B2%7Dx-%5Cfrac%7B2%7D%7B3%7D%5D)
Step 3
Solve for x
Group terms
Combine like terms
Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
Answer:
The length if the model is 6.875 inches.
Step-by-step explanation:
1.5 inches - > 3 feet is the same as 1 inch - > 2 feet (Same ratios: 3/1.5 = 2/1)
So since this is a linear relation between values we can use the rule of three.
1 inch(model) - > 2 feet(actual object)
x inches (model) - > 13.75 feet (car)
We cross-multiply:
1*13.75=2*x - > x= 13.75/2=6.875 inches
