Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
Answer:
The given statement is "True".
Step-by-step explanation:
A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.
- Systemic components
- Random components
If relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.
Thus the above is the true answer.
Answer:
1. 16 cups
2. 8 pints
Step-by-step explanation:
In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.
To solve this problem, we need to know the amount of cups present in a gallon of juice.
Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice
2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice
We need our answer in pints however.
Mathematically, 1 pint is composed of 2 cups.
This means 16 cups would be composed of 16/2 pints = 8 pints
Answer:
C(x) = 0.1x+23000
Step-by-step explanation:
Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.
Let X be the no of units produced
Then we have variable cost = 0.1x
Fixed cost = 23000 (irrespective of value of x)
Total cost
where C represents the total cost and x no of units produced.
Revenue function would be
assuming all doughnuts are sold.
Profit function would be
Let's solve your system by substitution.
a=−2;b=−3
Step: Solve a=−2for a:
a=−2
Step: Substitute−2for a in b=−3:
b=−3
b=−3
Answer:
a=−2 and b=−3
