Answer:
d = (1/20) t + 2
Step-by-step explanation:
∵ The equation of Monika is:
d = (1/15)t + 1 ⇒ linear equation
∴ The slope of the line = 1/15 ⇒ speed of Monika
∵ The speed of Mark is 3/4 as fast as Monika
∴ The speed of Mark = 3/4 × 1/15 = 1/20
∵ Mark starts a mile behind her
∵ at t = 0 ⇒ her distance is 1
∴ at t = 0 ⇒ his distance is 2
∴ His equation is d = (1/20) t + 2
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
Answer:
See explanation below
Step-by-step explanation:
The Roman Numeral MCM means 1900.
The first M is 1000, CM means 900 ==> 1000 + 900 = 1900
Answer:
4 ft 2 in.
Step-by-step explanation:
A door to a playhouse is 50 inches tall
we know that
1 in---------------> is 0.0833333 ft
so
50 in-------------> 50*0.0833333---------> 4.167 ft
4.167 ft----------> [4 ft+0.167 ft]
remember that
1 in---------------> is 0.0833333 ft
X in----------------> 0.167 ft
X=0.167/0.0833333----------> X=2 in
4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]
Answer:
u divide the area by 3.14
Step-by-step explanation:
it reverses the area