What is the measure of angle D? Enter your answer as a decimal, round only your final answer to the nearest hundredth.
Answers
Answer: Angle D= 0.51 radians or 29.05°
Step-by-step explanation:
For this problem, we can use our trigonometry to find the measure of angle D.
Since this is a right triangle, we know we can use sine, cosine, and tangent. We are focusing on angle D, so we would see which trigonometric function best fits angle D. Looking at where 25 ft and 45 ft are labeled, we can use tangent. Tangent of opposite/adjacent. Now that we know this, we can set up an equation. Let's use θ in place for angle D.
tan(θ)=25/45
tan(θ)=5/9
Since we want to find θ, we would do inverse tangent.
θ=
θ=0.507
θ=0.51
This answer is in radians. In degrees, it is 29.05°.
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A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.
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Which of the following is a simplified form of the expression -2(x - 9) - x?
Answers
Question:
Which of the following inequalities matches the graph?
Answer:
Looking at the graph the y values does not change, it stays at zero
The shaded area are the numbers under O
This means the answer is y ≤ 0
The answer is y ≤ 0
Hope it helps
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Answers
The required value of the quadratic function which is determined by the using quadratic formula would be which is the correct answer would be an option (B).
What is a quadratic function?
The quadratic function is defined as a function containing the highest power of a variable is two.
We have been given that quadratic function as
5x = 6x² – 3
⇒ 6x² - 5x - 3 = 0
Compare the given function to the standard quadratic function
f(x) = ax² + b x + c = 0.
We get a = 6, b = -5 and c = -3
Using the quadratic formula to solve the above quadratic function
Substitute the values of a = 6, b = -5 and c = -3 in the quadratic formula
Therefore, the correct answer would be an option (B).
Learn more about the quadratic function here:
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Answer:
The answer is B
Step-by-step explanation:
Answers
Answer:
The correct answer is $800.
Step-by-step explanation:
Let the length and width of the field be equal to l meters and b meters respectively and l > b.
Area of the field is given by l × b = 400 square meters.
The river is supposed to be along the longest side so that the price of fencing the other three sides is minimum. Thus the total perimeter of the fence is b+ b+ l = 2b+l.
Total cost for fencing the other sides of the field = $ 10 × (2b + l)
The wall is supposed to be perpendicular to the river and thus the length of the wall is b meters.
Total cost for the wall is $ 20 × b
Therefore, the total price for making the field is given by
C = 10 × (2b + l) + 20 × b
⇒ C = 40b + 10l
⇒ C = + 10l
To minimize the cost we differentiate the cost with respect to l and equate it to zero.
= 0 = -
+ 10
⇒ = 1600
⇒ l = 40 ; [ negative sign neglected as length cannot be negative ]
⇒ b = 10
The second order derivative of C is positive giving the minimum value of the cost.
Thus the minimum cost required to make the field is given by $800.
Final answer:
To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter and then calculate the total cost of building the field. By differentiating the cost equation and solving for x, we can find the dimensions that minimize the cost.
Explanation:
To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter. Since the area of the field is 400 square meters and it will be divided into two equal halves by a brick wall, each half will have an area of 200 square meters. Let's say the length of the field is x meters. Then the width of each half will be 200/x meters.
The perimeter of the field is the sum of the lengths of the three sides:
Perimeter = 2x + 200/x + 200/x
Now, we can define the total cost to build the field as:
Total Cost = Cost of wall + Cost of fence
Cost of wall = 2x * $20 (since there are two halves)
Cost of fence = (2x + 200/x + 200/x) * $10 (since there is a fence on three sides)
Therefore, the total cost is: Total Cost = 2x * $20 + (2x + 200/x + 200/x) * $10.
To minimize the cost, we can differentiate the total cost with respect to x and set it equal to zero:
d(Total Cost)/dx = 0
Simplifying this equation will give us the value of x that minimizes the cost. We can solve this equation to find the minimum cost to build the field.
Learn more about field here:
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Answers
Answer:
P = 20 ft
h = 2 ft
B = 10.56 ft²
Step-by-step explanation:
P = 8.8 + 8.8 + 1.2 + 1.2 = 20 ft
h = 2 ft
B = 1.2 x 8.8 = 10.56 ft²
B. Rectangle
C. Trapezium
D. Parallelogram
Answers
Answer:
parallelogram
Step-by-step explanation:
parallelograms are parallel.
For Company A to have a better deal, the truck must be driven more than miles per day
Answers
Answer:
200 miles
Step-by-step explanation:
hope this helps :)
Answer:
The charges of both companies will be same if truck is driven 200 miles per day
Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B
Step-by-step explanation:
Let the truck is driven X miles per day
Charges of company A will be = 90+0.4X
Charges of company B will be =30+0.7X
Let us find out value of X when charges of both companies are same
which means that 90+0.4 X= 30+0.7X
90-30 = 0.7X-0.4X
60 = 0.3X
60/0.3 = X
X= 200