Answer:
width = 10 cm
length = 37 cm
perimeter = 94 cm
area = 370 cm^2
Step-by-step explanation:
Perimeter = 2(length + width)
x is width, then length is 3x + 7
so 2(x + 3x + 7) = 94
4x + 7 = 47
4x = 40
x = 10
length = 3(10) + 7 = 37
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
Production would take place at a point inside the production possibility frontier
The Production possibilities curve is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.
The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.
Points inside the production possibilities curve means that the nations resources are not being fully utilised
When the unemployment rate increases, it means that labour resources are not been fully utilized. As a result, production would take place at point inside the production possibilities curve
Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources
Learn more about the production possibility curve here : brainly.com/question/12047178?referrer=searchResults
Answer:
A.
Step-by-step explanation:
In the figure attached, the oblique prism is shown.
The volume of the prism is:
V = b*h
where h is the height and b is the area of the base
Given that the base is an isosceles right triangle, its area is:
b = 1/2*x²
The height of the prism is (x + 2). Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x²
Answer:
tan Z = 24/7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan Z = opp side / adj side
tan Z = 24/7