Step-by-step explanation:
You would start by using one of the equations to find y with x in the equation. You want to pick the easier one. I picked this one because it was evenly divisible.
5x+5y=50
5x=-5y+50
x=-y+10
Then you what to plug that in to the second equation and solve for y.
3(-y+10)+4y=32
-3y+30+4y=32
-3y+4y=2
y=2 (because you combined like terms)
Then you would plug back into the first equation and solve for x.
5x+5(2)=50
5x+10=50
5x=40
x=8
x=8, y=2
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then
Hence, he bought about 6 sodas.
The arcs FA, AB, and <u>BF</u> make up the entire circle, so their measures sum to 360°:
arcFA + arcAB + arcBF = 360° → arcBF = 360° - 160° - 140° = 60°
By the inscribed angle theorem, angle BAF has measure equal to half of that of arc BF, so
angleBAF = 30°
By the secant-tangent theorem (not sure if there's an official name for it), the measure of angle ACF is equal to half the difference of the arcs it intercepts, namely BF and FA, so that
angleACF = 1/2 (arcFA - arcBF) = 1/2 (160° - 60°) = 50°
Now use the law of sines for solve for FA:
sin(angleACF) / FA = sin(angleBAF) / FC
sin(50°) / FA = sin(30°) / 10
FA = 10 sin(50°) / sin(30°) ≈ 15.3
Answer:
1201.2 in (100.1ft)
Step-by-step explanation:
A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.
First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.
