Answer:
The third side of an isosceles triangle is known as the base. To find the length of the base, we can use the Pythagorean theorem. If we call the base of the triangle "b", then the length of the base is the square root of (8^2 - 5^2), which is equal to sqrt(64 - 25) = sqrt(39) = 6.3 cm.
Step-by-step explanation:
hope it helped !! :))
Answer:
Step-by-step explanation:
Given Andrew has $600 for materials and can make 18 pieces of furniture, you want to know the number of each kind that maximizes profit if each bookcase costs $20 and gives $60 profit, while each TV stand costs $40 and gives $100 profit.
If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...
maximize 60x +100y
subject to ...
The attached graph shows the solution space for these constraints. The profit is maximized at the vertex of the space where the profit function line is farthest from the origin. Andrew maximizes his profit by building ...
Andrew needs to solve a linear programming problem to find how many bookcases and TV stands he should manufacture for optimal profit. This is done by setting up and solving inequalities representing Andrew's time and material cost constraints, graphing the feasible region, and finding the point(s) in this region that yield the highest profit.
This question deals with the topics of linear programming and profit maximisation. Here, Andrew has to decide how much of each type of furniture, bookcases or TV stands, he should produce to maximise profit while considering time and material cost constraints.
From the given conditions, we get two inequalities. The first related to time says that the total number of bookcases and TV stands is less than or equal to 18: let bookcases be x, TV stands be y, thus we have x + y <= 18. The second involving the cost of material says that the total cost spent on materials for both products does not exceed $600: thus, we also have 20x + 40y <= 600.
You can graph these inequalities on the x-y plane to get a visual representation of the possibilities.
Finally, to find the optimal solution (i.e., the highest profit), you calculate the profit function P = 60x + 100y for each point in the feasible region and select the point that provides the highest profit.
#SPJ3
what does x =
Answer:
x=66
hope this helped :)
Answer:
The third one
Step-by-step explanation:
a lot of triangled have a long base and equal smaller sides
thats a weird question though
Answer:
n+30/5
Step-by-step explanation:
Simplify n/5
n/5+6
Rewrite the whole as an equivalent fraction
2.1 Add an integer to a fraction
Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5
Equivalent fraction: the fraction thus generated looks different but has the same value as everything.
2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator
Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:
n+6×5/5=n+30/5
Number of Days
(x) Total Charges (dollars)
(y)
0 5
1 20
2 35
What is the fixed amount charged?
$2
$5
$15
$20
The answer is B. $5
*i got an 100 on this test so i'm positive
Notice how the description says "a fixed amount plus a fee based on the number of days." And the question only asks for the fixed amount, not including the fee.
For the first rental, they had only been renting but had not kept it for a day yet, so the fee is not added and there is only the cost of the fixed amount for the equipment, which is $5. This shows that when they keep the equipment for a day, the fee is $10 added on each day the equipment is kept.
So, taking away the fee for the numbers of days, the points would be (0,5), (1,10), (2,15). Add on another $10 per day onto the y colomn and you get the table we have here.
Good luck on your quiz, hope you understood all of that :)
Answer:
B. 5
Step-by-step explanation:
To find the fixed fee, we need to make x=0. When x=0 y=5 so the fixed charge is 5.