Find the area of the parallelogram below.5.5 ft
4 ft
/60
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared
Answers
The area of the parallelogram is given by A = 17.32 feet²
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A is
Let the height of the parallelogram be h
where from the trigonometric relation , we get
sin 60° = h / 4
On simplifying , we get
h = 4 ( √3/2 )
h = 2√3 feet
Now , the area of parallelogram = base x height
A = 2√3 ( 5 ) feet²
A = 10√3 feet²
A = 17.32 feet²
Hence , the parallelogram has an area of A = 17.32 feet²
To learn more about parallelogram click :
#SPJ1
Related Questions
The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).What are the coordinates of the other endpoint of the line segment?
A computer shop sold 400 computers last month. And 523 computers were sold this month. What is the percentage increase?
Need answer to. Add 3x-3and4x^2-6x
The dot plot shows the numbers of pets that students in a class own
Answers
Answer:
27
Step-by-step explanation:
3x - 2x²
3 × -3 = -9
2 × -3 = -6
-9 - (-6²)
-9 - (-36)
-9 + 36
36 - 9
36 - 9 = 27
(millions of pounds) (millions of pounds)
$0.80 107 63 0
.90 104 71
1.00 101 79
1.10 98 87
1.20 95 95
1.30 92 103
1.40 89 111
1.50 86 119
1.60 83 127
1.70 80 135
1.80 77 143
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
Answers
Answer:
a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. The correct option is zero.
c. See the attached excel file for the new supply schedule.
d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
Step-by-step explanation:
Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
At equilibrium, quantity demanded must be equal with the quantity supplied.
In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.
Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?
Price floor refers to a government price control on the lowest price that can be charged for a commodity.
It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.
Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.
Therefore, the correct option is zero.
c. Fill in the new supply schedule given the change in the cost of feeding cows.
Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.
Note: Find attached the excel file for the new supply schedule.
d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?
Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:
Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds
Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
Final answer:
In the wholesale butter market, the equilibrium quantity is 95 million pounds and price is $1.20 a pound. The monthly surplus with price support is -22 million pounds showing a shortage. The decrease in cost of feeding cows shifts the supply to right, creating a potential surplus.
Explanation:
The equilibrium quantity and price in the wholesale butter market are determined by where the quantity demanded equals the quantity supplied. From the given schedule, we can see that this occur when the price is $1.20 per pound and the quantity is 95 million pounds.
The monthly surplus created due to the price support is calculated by subtracting the quantity demanded from the quantity supplied at the price floor of $1.00. This gives us a surplus of 79 million pounds - 101 million pounds = -22 million pounds, indicating a shortage rather than a surplus.
If the cost of feeding cows decreases, shifting the supply schedule to the right by 40 million pounds, the new equilibrium will need to be found again where quantity demanded equals quantity supplied. This shift would increase the quantity supplied at every price point, resulting in a potential surplus if demand conditions remain unchanged.
Learn more about Price Support and Market Equilibrium here:
#SPJ3
Answers
Answer:
a) The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
b)
And replacing we got:
Step-by-step explanation:
For this case we have the following probability distribution function given:
x 0 1 2 3 4 5
P(X) 0.05 0.1 0.15 0.25 0.35 0.1
We satisfy the conditions in order to have a probability distribution:
1)
2)
Part a
The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
Part b
For this case we want to find this probability:
And replacing we got:
Answers
Answer: 30
==========================================================
Explanation:
Refer to the drawing below. I have a 2 by 5 grid of squares. So there are 2*5 = 10 squares total.
Four of those squares are shaded blue to represent the fraction
If Susan used 4 blue tiles (instead of 12), then she'd have 10 tiles total. This would mean 10 would be the answer.
However, she's using 12 blue tiles. The jump from 4 to 12 is "times 3". So we'll need to multiply that 10 by 3 as well.
10*3 = 30
If Susan uses 12 blue tiles, then she has 30 tiles total.
Notice that the fraction is the same as
after multiplying both top and bottom by 3.
If you wanted, you can split a round cake into 10 equal slices. If a person eats 4 slices, then that represents the fraction . Now imagine splitting each of those initial ten slices into three smaller pieces. If you manage to do so, then you'd have 30 very small slices. The four that the person ate would have effectively eaten 12 very small slices. So this is another way to see how
. Personally, when it comes to fractions, I prefer using a grid of squares because it's a bit tricky sometimes to divide up circles perfectly.
Answers
Step-by-step explanation:
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.
Answers
Answer:
The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.
Step-by-step explanation:
The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.
The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;
y=(3x-12)3 +7
y=9x-36 + 7
y=9x - 29
which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.