Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).
TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.
Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,
PQ^2 + QR^2 = PR^2
PQ^2 + 5^2 = 9^2
PQ^2 = 56
PQ = √56 = 2√14
Then the perimeter of PQRS is
PQ + QR + RS + SP = 2√14 + 5 + 5 + 2√14 = 10 + 4√14
and so the answer is B.
Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
Answer:
u = - ( 9-6w)/2
Step-by-step explanation:
to evaluate for u in the expression -2u+6w=9 is simply to look for a way such that we would express u in terms of w and other variables.
solution
-2u+6w=9
-2u = 9 - 6w
divide both sides by the coefficient of u which is -2
-2u/u = 9 - 6w/-2
u = - ( 9-6w)/2
therefore the value of u when rearranged in the equation -2u+6w=9 is evaluated to be equals to
u = - ( 9-6w)/2
1=51
2=34
3= 95 (i think)
4=38
Ratio brown to yellow after drawing=3:8
