Answer:
4 is the answer
hope this helps
What is the size of angle a?
Answer:
60 degrees
Step-by-step explanation:
The total angles of a circle add up to 360 so to find a missing angle, subtract the figures already given from 60. The angles given total to (140+125+35) = 300. To find angle a, you subtract the 300 from 360. 360-300 = 60 degrees. Therefore, angle a is 60 degrees
The figure shows a trapezium ABCD where AB=35.5cm, BC= 18cm, CD- 20 cm and AD= 16 cm. If CE= 15 cm, find
(a) the area,
(b) the perimeter,
of the trapezium
a) The area οf the trapezium is apprοximately 792.37 cm²
b) There is nο real value οf DE that satisfies the equatiοn, and we cannοt find the perimeter οf the trapezium.
What is area and perimeter?Trapezium area equals 12 x (a + b) x h. Trapezium perimeter = a + b + c + d. where the lengths οf a trapezium's sides are a, b, c, and d. Mοreοver, h is the separatiοn between a and b, the twο parallel sides.
(a) To find the area of a trapezium, we use the formula:
A = (a + b)h/2
The perpendicular distance between them is the height of the trapezium, which we can find by using the Pythagorean theorem on the right triangle ADE:
\(AD^2 + DE^2 = AE^2\\\\16^2 + 15^2 = AE^2\\\\AE =\sqrt{(256 + 225)}\\\\ = \sqrt{(481)}\\\\ = 21.93 cm\)
Sο, the height οf the trapezium is h = AE = sqrt(481) ≈ 21.93 cm.
Nοw we can plug in the values fοr a, b, and h in the fοrmula fοr the area:
A = (35.5 + 20) * 21.93 / 2
= 792.365
≈ 792.37 cm²
Therefοre, the area οf the trapezium is apprοximately 792.37 cm².
(b) Tο find the perimeter οf the trapezium, we simply add up the lengths οf all the sides:
Perimeter = AB + BC + CD + AD + CE + DE
Substituting the given values, we get:
Perimeter = 35.5 + 18 + 20 + 16 + 15 + DE
\(CD^2 + DE^2 = CE^2\\\\20^2 + DE^2 = 15^2\\\\DE^2 = 225 - 400 = -175\)
Therefore, there is no real value of DE that satisfies the equation, and we cannot find the perimeter of the trapezium.
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Find the range of the function f(x) = x² - 5x for the domain {2, 4, 7).
Range:
By evaluating the function f(x) = x² - 5 · x, the range of the function is {- 6, - 4, 14}.
How to determine the range of the function
In this problem we have a domain, that is, an input set, formed by three natural numbers and a quadratic equation that represents a function that allows us to find the corresponding elements of the range, that is, the output set. The elements of the range are found by evaluating the quadratic equation at each element from domain:
x = 2
f(2) = 2² - 5 · 2
f(2) = 4 - 10
f(2) = - 6
x = 4
f(4) = 4² - 5 · 4
f(4) = 16 - 20
f(4) = - 4
x = 7
f(7) = 7² - 5 · 7
f(7) = 49 - 35
f(7) = 14
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Volume by multiplying area of base times height
What is the volume of the following rectangular prism?
Answer:
14 2/3.
Step-by-step explanation:
Base • Width = Volume
7 1/3 x 2 = 14 2/3
Volume = 14 2/3.
find the demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0. r'(x)=513-0.15√√x
The demand function for the marginal revenue function
r'(x) = 513 - 0.15√√x can be found by integrating the marginal revenue function with respect to x.
The demand function, denoted as D(x), represents the quantity of items that will be demanded at a given price x. It is the inverse of the marginal revenue function.
To find the demand function, we integrate the marginal revenue function with respect to x. Let's denote the demand function as D(x).
∫ r'(x) dx = ∫ (513 - 0.15√√x) dx
Integrating, we get:
D(x) = 513x - 0.15 * (2/3) * (2/5) * x^(5/6) + C
where C is the constant of integration.
The constant C represents the revenue when no items are sold, which is 0 according to the problem statement. Therefore, we can set C = 0.
The final demand function is:
D(x) = 513x - 0.1 * x^(5/6)
This is the demand function that represents the relationship between the quantity demanded and the price, based on the given marginal revenue function.
The demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0. r'(x)=513-0.15√√x
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please help meeee!!!
Answer:
90
Step-by-step explanation:
because 9x10 is 90 hope this helps
i need helpp quickly
A shopper bought the following items at the farmer’s market:
6 ears of corn for $1.80. What was the cost per ear?
12 apples for $2.88. What was the cost per apple?
5 tomatoes for $3.10. What was the cost per tomato?
How do you find out the problem?
What would happen if the decimal was put in the wrong place?
Answer:
$0.30 per corn
$0.24 per apple
$0.62 per tomato
Step-by-step explanation: you divide the price by the amount to give you the per item cost. If you put the decimal in the wrong spot your coat could go from $.30 per corn to $3 per corn. big difference!
how much did the naming rights for the 122 teams in the four major us professional sports leagues earn for those franchises in 2009
In 2009, the naming rights for the 122 teams in the four major US professional sports leagues (NFL, NBA, MLB, and NHL) earned those franchises approximately $3.6 billion.
In 2009, the naming rights deals for the 122 teams across the NFL, NBA, MLB, and NHL generated approximately $3.6 billion for those franchises. These deals allow companies to attach their name to a stadium or arena, which can provide valuable exposure and brand recognition.
The amount earned from these deals can vary widely based on factors such as the popularity of the team and the location of the stadium or arena. Despite fluctuations in the economy and the sports industry, naming rights deals have remained a significant source of revenue for professional sports franchises.
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Find three consecutive integers such that the product of the first and the second integer is 42
Please answer!!!!
Answer:
6 & 7.
Step-by-step explanation:
make one of the numbers x. The number succeeding it will be x +1
Their product is 42
x(x+1) = 42
x²-x-42=0
PLEASE ANSWER
One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank? 5/6 hours 6/5 hours 3/2 hours 2/3 hours
Answer:
6/5 hours
Step-by-step explanation:
GIVEN :-
Lets say ,
Pump A takes 2 hours to fill the tank alonePump B takes 3 hours to fill the tank aloneTO FIND :-
Time taken by both pumps to fill the tank when used togetherPROCEDURE :-
In 2 hours , Pump A fills the whole tank.
⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)
In 3 hours , Pump B fills the whole tank.
⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)
In 1 hour , when both pumps will be used together , they will fill =
(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)
⇒ \(\frac{1}{2} + \frac{1}{3}\)
\(=> \frac{5}{6}\) part of tank
5/6 part of tank will be filled by both the pumps in = 1 hour.
Using unitary method, multiplying both the sides with 6/5 -
⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours
⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours
∴ Both the pumps will take 6/5 hour to fill the tank , when used together.
_____________ are created by imaginary lines that intersect the body into parts.
Answer:
Step-by-step explanation:
Anatomical planes are created by imaginary lines that intersect the body into parts
hari drags a load of 60 kilogram along a distance of 12 m what amount of work does he do also mention mention the type of work
Hari does 7,056 joules of work while dragging the load of 60 kilograms along a distance of 12 meters. The type of work performed in this scenario is mechanical work.
The amount of work done can be calculated using the formula:
Work = Force × Distance × cos(θ)
In this case, the force applied by Hari is equal to the weight of the load, which can be calculated using the equation:
Force = Mass × Acceleration due to gravity
Given that the mass of the load is 60 kilograms and the acceleration due to gravity is approximately 9.8 m/s², the force can be calculated as:
Force = 60 kg × 9.8 m/s² = 588 N
Since the force and distance are in the same direction, the angle (θ) between them is 0°, and therefore the cosine of 0° is 1.
Plugging in the values into the work formula:
Work = 588 N × 12 m × cos(0°)
= 588 N × 12 m × 1
= 7,056 N·m (joules)
Hence, Hari does 7,056 joules of work while dragging the load. This work is categorized as mechanical work since it involves the application of a force to move an object along a distance.
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solve 15 2x = 36. round to the nearest ten-thousandth.
To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.
Help I need it quick
answer:
slope = 2
-----------------
Answer:
2
Step-by-step explanation:
pick 2 points from the graph
example is (2,8) and (-4,-4)
subtract the numbers
-4-2
-4-8
this gets you -12÷-6 which gets you 2
Use the figure to write and solve an equation for x.
Answer:
x = 33
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
what is 1 plus 1 divided by 10 time 20plus 3
7
1+1 = 2
2/10 = 0.2
0.2x20 = 4
4+3=7
sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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Which graph represents the function p(x) = (x - 11?
5
3
3
2+
2
3
2
5-5-3-2-15
1 2 3 4 5
-6-5-4-3-2-13
54
-2
Y 7 7
-3
----
2345
7
The graph that represents the function p(x) = (x - 11) is not given in the question. However, to graph this function, you would start by plotting the point (11,0) as the y-intercept. Then, you would use the slope of 1 to plot additional points. For example, if you go one unit to the right from (11,0), you would go up one unit to (12,1).
Similarly, if you go one unit to the left from (11,0), you would go down one unit to (10,-1). You could continue this process to plot additional points and then connect them with a straight line to create the graph of the function. It seems like there are some typos and irrelevant parts in your question, but I'll help you with the core question.
The function you mentioned is p(x) = (x - 1)^2. This is a quadratic function, and its graph will be a parabola. The vertex of the parabola is at the point (1, 0), since the function is in the form (x - h)^2 where h is 1. The parabola opens upwards because the coefficient of the (x - 1)^2 term is positive. So, the graph representing the function p(x) = (x - 1)^2 will be a parabola with its vertex at (1, 0) and opening upwards.
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Can somebody please help me on this? Thank you.
Answer:
21a. A = J - 13
J = 29
21b. A = Greenville to Artaville
J = Greenville to Jonesborough
Step-by-step explanation:
I NEED HELP ASAP!!!!!
Answer:
W = 2.5d + 62
Step-by-step explanation:
The calf weighed 62 pounds when they were born. This gives us a base of 62 pounds - the calf cannot weigh less than 62 pounds and it does on day 0. On each day , the calf gains 2.5 pounds. We can times the number to days by 2.5 to get the gain from day 0. We can add these two values together to get the total current weight of the calf.
The Golf King Driving Range is installing a huge net to catch long golf drives. The poles to hold the net up are 50 feet high. The contractor needs to run a wire from the top of the pole to the ground to keep the poles and the net secure. This wire is called a guy wire. a. If the guy wire runs from the top of the pole to a point on the ground 22 feet from the base of the pole, how long must the guy wire be? Round up to the next highest foot. b. What is the slope of the guy wire, expressed as a fraction?
The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.
We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".
g^2 = 50^2 + 22^2
g^2 = 2500 + 484
g^2 = 2984
g ≈ 54.65
So the guy wire must be about 55 feet long.
The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is
50/22 = 25/11
Therefore, the slope of the guy wire is 25/11.
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A band expects to put 12 songs on their next CD. The band writes and records 2% more songs than they expect to put on the CD. During the editing process, 40% of the songs are removed. How many songs will there be on the final CD?
Step-by-step explanation:
they expect originally to put 12 songs on the CD.
are you sure about the 2% ? is that not 20% ? or better 25%.
because
100% = 12
1% = 100%/100 = 12/100 = 0.12
2% = 1%×2 = 0.12×2 = 0.24
"0.24 songs more" does not really make any sense.
20% would then be 2.4 songs, which would mean 2 songs, but 2 would be only 2/0.12=16.7%.
but 25% would be 0.12×25 = 3. so, 3 songs more.
and that makes sense.
so, they produced 25% or 3 songs more than they expected to put on the CD. that is 12+3=15 songs.
now, we have a new 100% :
100% = 15
1% = 15/100 = 0.15
40% = 0.15×40 = 6
so, 6 songs are removed.
that leaves 9 songs on the CD.
Find the solution to the following.Make sure you simplify. 1/2 + 2/5 , 1/2 - 2/5 , 1/2 ÷ 2/5 ,1/2 • 2/5
Answer:
9/10,1/10,1 1/4, and 1/5
If you know the rules of adding, subtracting, dividing, and multiplying decimals, you know what to do. If not, then I can show you if you'd like
Find the reciprocal of the following rational number
Answer:
where are the numbers
Step-by-step explanation:
the mean of a data set is 12 and the median is 12.what are the possible shapes for this data set?A. MoundB. symmetricC. skewedD. both (A) and (B)
EXPLANATION.
When the mean and median are of the same value, the data are said to be symmetric or to form a symmetric set.
therefore the answer is: the option B.
what is 48÷2(9+3)= ???
Answer:2
Step-by-step explanation:
9+3=12 12*2=24 48/24=2
Answer:
=288
Step-by-step explanation:
=48/2.12
=288
can you give me the crown please :)
What is 7.23 x 10^5 in standard notation
Delete the comma if needed
================================================
Explanation:
The exponent of 5 means we move the decimal 5 spots to the right.
This has us go from 7.23 to 723,000
If the exponent was negative, then we'd move that amount to the left.
1) Evaluate the following algebraic expression: 8n + 2 when n = 6 Show your work: Answer =
Answer:
50
Step-by-step explanation:
use PEMDAS. so you multiply 8 times 6, which equals 48. 48 plus 2=50 :)
8n+2
Since n=6, we replace n with 6
8(6)+2
Because of order of operations, we multiply first, then add.
48+2
50
So the answer is 50
----
sorry if I couldn't help
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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2,3,1,4,0 solution i need this sequence please?
Answer:
01234
Step-by-step explanation:
Sequence is smallest to largest therefore the sequence is 01234
Answer:01234
Step-by-step explanation:
Hope this helps.