The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
Express percentage as decimal
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
Express percentage as decimal
The amount saved is the difference between the prices of the drones.
So, we have:
This gives
Subtract
Express as a function
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
brainly.com/question/13114933
Answer:
x = 50°
y = 50°
z = 80°
Step-by-step explanation:
working out x:
angles on a straight line add up to 180°
x + 130° = 180°
subtract 130 on both sides
x = 180° - 130°
x = 50°
working out y:
two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°
y = 50°
working out z:
the sum of a triangle add up to 180°
add up the angles of x and y and equate to 180°
50 + 50 + z = 180
100 + z = 180
subtract 100 on both sides
z = 180 - 100
z = 80°
Cosθ = 15/17
Step-by-step explanation:
Sinθ = 8/17
We know that,
Sin^2 θ + cos^2 θ =1
64/289 + cos^2 θ =1
1 - 64/289 = cos^2 θ
225/289 = cos^2 θ
Cos θ = √225/289
Cos θ = 15/17
