Answer:
The radian measure of 30° is 
radians.
Step-by-step explanation:
A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:
The radian measure of 30° is radians.
Answer:
<h2>
cos 30°= 0.866</h2>
Step-by-step explanation:
Step one:
Applying the SOH CAH TOA principle
assuming all dimensions are in cm
Step two:
Given data
opposite= 1 cm
hypotenuse= 2 cm
<h3>we can now solve for θ</h3>
Sin(θ)= opp/hyp
Sin(θ)= 1/2
Sin(θ)= 0.5
θ= sin-1 0.5
θ= 30°
hence from tables cos 30°= 0.866
Answer:
$12.64
Step-by-step explanation:
Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000
Answer:
P = 180 inches
A = 1800 square inches
Step-by-step explanation:
The perimeter of a rectangle is equal to P = 2b+2h where b=base and h=height. Here the base is 5 feet and the height is 30 inches. They are different measurements and must be in the same. Convert 5 ft into inches by multiplying 5*12 = 60 inches. Substitute b=60 and h=30.
P = 2*60 + 2*30
P = 120 + 60
P = 180 inches
The area of a rectangle is A = b*h. Substitute b=60 and h=30.
A= 60*30
A = 1800 square inches
