Answer:
Hope it helps....!!!!!
Step-by-step explanation:
AB = c = 38
BC = a = 29
AC = b
Angle ABC = 63 degrees
Solving for AC "b":
Cosine rule: c^2 = a^2 * b^2 -2ab * cos C
38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)
1444 = 841 * b^2 - 58 * b * 0.955
(1444 + 58)/0.955 = b^2 * b
1572.77486911 = b^3
11.62935 = b
11.63 = b (rounded to two decimal places)
Now solving for angle A:
Sine rule: a/sinA = b/sinB
29/sinA = 11.63/sin(63)
sinA/29 = sin(63)/11.63
sin A = (sin(63)/11.63) * 29
sin A = 0.41731
A = sin^-1 (0.41731)
A = 24 degrees 39 minutes 53 seconds
Now solving for angle C:
Sine rule: c/sinC = b/sinB
38/sinC = 11.63/sin(63)
sinC/38 = sin(63)/11.63
sin C = (sin(63)/11.63) * 38
sin C = 0.54682
C = sin^-1 (0.54682)
C = 33 degrees 8 minutes 56 seconds
Answer:
$27508
Step-by-step explanation:
The value of a truck v(x) in dollars after x years is modeled by the equation .
Now, this is an exponential decay function, where the price of the truck is depreciating at an exponential rate.
So, after 2 years the value of the truck will become dollars. (Answer)
Here is the answer for this question .
Answer:
Independent = Milk left in the gallon jug
Dependent = cups of milk poured
Step-by-step explanation:
In an experiment or a research, a variable is defined as the thing or a phenomenon that you are trying to found out or measure. Variables can be independent variable as well as the dependent variable.
Independent variable is the variable that the researcher or the experimenter can change or manipulate in the research. This variable does not depend on others and thus stands alone. Its value can be change or altered to find the changes in the dependent variables. They are used as treatment variables.
Whereas, the dependent variables are those variables that are dependent on the values of the independent variables. It is considered as the effect of the independent variable. An independent variable is often manipulated to measure the outcome in the dependent variable.
In the context, the cups of milk poured is the dependent variable and the independent variable is the amount of milk left in the jug.