Answer:
Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.
Step-by-step explanation:
Brownie recipe:
Cocoa powder = 3 parts
Flour = 2 parts
Ratio of cocoa powder to flour = 3 : 2
Lizzy's recipe:
Cocoa powder = 1 cup
Flour = 1 cup
Ratio of cocoa powder to flour = 1 : 1
Answer:
<h2>2√14</h2>
Step-by-step explanation:
ΔSQR and ΔTSR are similar. Therefore the sides are in proportion:

We have:
SR = q
QR = 10 + 4 = 14
TR = 4
Substitute:
<em>cross multiply</em>

Answer:
x=16; y=24
Step-by-step explanation:
for (x,23), 23=0.5x+15
x=16
for (18xy), y=0.5*18+15=24
6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°