Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
Answer:
2.734
Step-by-step explanation:
Answer:
let w = amt of water required
:
An equation based on the the percent water, an 80% solution is 20% water.
.20(320-w) + w = .50(320)
64 - .2w + w = 160
.8w = 160 - 64
w = 96%2F.8
w = 120 gal of water to produce 320 gal of 50% antifreeze
:
320 - 120 = 200 gal of 80% solution
Water: _120___ gallons
Premium Antifreeze: __200___ gallons
Step-by-step explanation:
Answer:
7500 is the answer
Step-by-step explanation:
Product means a quantity obtained by multiplying quantities together, so if you multiply 7.5 and 1000 you get that answer :)
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
