Answer:
x=7
Step-by-step explanation:


-

Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
- m=(20000-16000)/(0-2)= -2000
- so our function is V= -2000t + b
- b is the intitial price so b = 20000
- then : V= -2000t + 20000
Let's check :
- take the second year : V= -2000*2 +20000 = 16000
- that's true !
Answer:
5
Step-by-step explanation:
first subtract 2 from 10 (10 - 2 = 8)
8 - 2.40 (the first mile) = 5.6
5.6 divided by 1.40 (every additional mile) = 5
Answer:
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Step-by-step explanation:
The cosine and tangent functions are useful here. The relevant relations are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...
cos(40°) = 12/ma
ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet
__
The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...
tan(40°) = ml/12
ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet
__
The angle formed at Maria's position is the complement of the other acute angle in the right triangle:
M = 90° -40° = 50°
In summary, ...
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°