The height of the kite obtained using trigonometric relationship is 11 meters .
Using trigonometric relationshipFrom observer P, the angle of elevation = 35°.
We have a right triangle with the opposite side (height of the kite) and the adjacent side (15 meters, the distance between observer P and Q).
Using the tangent function:
Tan = opposite / Adjacent
tan(35°) = h / 15
Rearranging the equation to solve for h:
h = tan(35°) * 15
h = 0.700 × 15
h = 10.50
Hence , the height of the kite is 11 meters(nearest meter)
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NEED HELP!!
Complete the charts to determine the Mean Average Deviation.
1. [9,6,3,12,18,8,14]
Numbers:
Average:
Distance from mean:
Mean Deviation:
2. [5,10,15,20,35,25,37]
Numbers:
Average:
Distance from mean:
Mean Deviation:
3. [19,12,17,13,17,20,21]
Numbers:
Average:
Distance from mean:
Mean Deviation:
4. [6,16,9,16,4,18,24,27]
Numbers:
Average:
Distance from mean:
Mean Deviation:
Answer
23i3i3i321
Step-by-step explanation:
6. Write an equation using "" and then solve the equation. The hourly rate is $. If each car parks at the lot for 7 hours per day and all the parking spots are taken up, the parking lot can receive $27,867 in a day
The equation is 7x = 27,867. Therefore, hourly rate, represented by x, is $3,981. And, the parking lot can receive a total of $27,867 in a day.
The equation representing the situation can be written as 7x = 27,867.
To solve for x, we can divide both sides of the equation by 7, which gives us x = 27,867 / 7. Simplifying the right side of the equation, we have x = 3,981.
Therefore, the hourly rate, represented by x, is $3,981. This means that if each car parks at the lot for 7 hours per day, and all the parking spots are taken up, the parking lot can receive a total of $27,867 in a day.
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(5-) + 23 - 1 x (10)=
\( \sf5 - ( + 23) - 1 \times 10 \\ \sf5 - 23 - 10 \\ \sf - 5 - 23 \\ \boxed{ \tt - 28}\)
how to solve 3x+5<14
Answer:
x<3
Step-by-step explanation:
3x+5<14
Your first step is to simplify the inequality.
To do this, always look to see if you can subtract any numbers from both sides to isolate a variable.
You can subtract 5 from both sides to isolate the 3x on one side.
After that, you will get 3x<9
Next, you must divide both sides by 3 to try and get x by itself, completing the inequality.
9/3 = 3
Your are left with: x<3
Done!
Answer:
x < 3
Step-by-step explanation:
3x + 5 < 14 subtract 5 from both sides
3x + 5 - 5 < 14 - 5
3x < 9 Divide both sides by 3
\(\frac{3x}{3}\) < \(\frac{9}{3}\)
x < 3
How many 1/3inch cubes does it take to fill a box with a width of 2 2/3inches, Length 3 1/3, and height 2 1/3inches?
Answer:hope this helps
Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
Step-by-step explanation:
please help me. i will give give brainlist. and i will give 5 stars. links will be reported. please follow the directions on the page.
Answer: Graph is not possible here, but i can say plotting point
for first equation (0,3) (2,4) (4,10)
for second equation ( 0,-3) ( 2,-4) (4,-10) plot yourself
Step-by-step explanation:
Please help!!
Will mark brainliest
Answer:
y=+2
Step-by-step explanation:
Every advancement in boxes, gives 2 to the next box. the rate of change would be 2/1
Is (6, 6) a solution to the equation y = x?
Hey there! I'm happy to help!
This is a solution because x has the same value as y. They are both 6.
I hope that this helps! Have a wonderful day! :D
Answer:
Yes.
Step-by-step explanation:
(6,..): this is the x-coordinate
(...,6): this is the y-coordinate.
6=6, so yes, this is a solution to y=x.
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps YouThe boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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HELP MEEE!!!!!!!!!!!!!!
x+12=21 show your work
Answer:
x=9
Step-by-step explanation:
x+12=21
x=21-12
x=9
x+12=21
Step 1: Subtract 12 from both sides.
x+12−12=21−12
x=9
What is 0.4 in a fraction?
What is 0.64 in a fraction?
What is 2.75 in a fraction?
Pls I need it now and pls SHOW YOUR WORK
Answer:
2/5, 16/25, and 11/4
Step-by-step explanation:
40/100 to 4/10 to 2/5
64/100 to 32/50 to 16/25
275/100 (by 25) to 11/4
9x^5 y^16
Which expression is equivalent to
45x^5 y^4
Answer:
45x^5y^16/9x^5y^4
Step-by-step explanation:
5x^y^4 is the answer
2) Vanessa has a goal of making $85 per week at her after school job. Last week, she was within $4.25 of
her goal. Write an absolute value equation to find the maximum amount of money she could have
made last week and the minimum amount of money she could have made last week. State the
maximum and minimum values.
EQ:
Max:
Min:
Answer: what do you mean by this she made 80.75$
Step-by-step explanation:
What is the solution to this linear system? Enter a value in each box to create an ordered pair. ill put brianly if u answer asap
Answer:
(-1,5)
Step-by-step explanation:
4over5 times 3 over 4
Answer:
its in percentage but it would be 0.6
Step-by-step explanation:
Answer:
3 over 5
\(\frac{4}{5} * \frac{3}{4}\\\\4*3=\underline{12}\\5*4=20\)
Simplify 12 over 20
\(12/4= \underline{3}\\20/4 = 5\)
Jackie is going to roll a six-sided die. What is the probability that the die lands on the number 1? Input your answer in fraction form
Answer:
1/6
Step-by-step explanation:
Since there are 6 sides to a regular die, and there is only one number 1 on that die. The probability is 1/6 (one-sixth)
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)
Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 \(\ngeqslant\) 1000
⇒ 930 \(\ngeqslant\) 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 \(\geq\) 1000
⇒ 1054 \(\geq\) 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 \(\geq\) 1000
⇒ 1170 \(\geq\) 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 \(\geq\) 1000
⇒ 1280 \(\geq\)1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
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Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?
Answer:
5,615 km.
Step-by-step explanation:
The first flight, she traveled for 3 hours at a speed of 625 km/h.
\(\frac{625}{1} =\frac{x}{3}\)
x = 625 * 3
x = 1,875.
The first flight, she traveled 1,875 km.
The second flight, she traveled for 4.25 hours at a speed of 880 km/h.
\(\frac{880}{1} =\frac{x}{4.25}\)
x = 880 * 4.25
x = 3,740.
The second flight, she traveled 3,740 km.
So, in total, she traveled 1875 + 3740 = 5,615 kilometres.
Hope this helps!
The volume of the right prism is 360 cm. What is the surface area of the prism, in square centimeters? Record your answer on the grid. Then fill in the bubbles. 9 cm 15 cm
Answer:
135 cm
Step-by-step explanation:
Find the sector area of the shaded sector. Leave your answer in terms of pi.
T
87°
S
72°
U
W
Х
V
WU = 16
Answer:
15.47 pi
Step-by-step explanation:
The length of an island is decreasing at the rate of 17 inches per year. how long will it take for the change in the length of the island to be 255 inches?
Given,
Decrement of 17 inches takes 1 year.
So, Decrement of 1 inches takes \(\frac{1}{17}\) year.
therefore, decrement of 255 inches will take \(\frac{255}{17}\) years, which is, 15 years.
So, the answer is 15 years.
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three people get into an empty elevator at the first floor of a building that has floors. each presses the button for their desired floor (unless one of the others has already pressed that button). assume that they are equally likely to want to go to floors through (independently of each other). what is the probability that the buttons for consecutive floors are pressed?
Three people get into an empty elevator at the first floor of a building that has floors. Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.
To simplify the problem we can see that there are three persons and all of them have their desired floors. Each one of them has pressed the button for their floor.
We can construct a number line to represent the floors. Let us suppose that the number line represents the floors of a 10 story building.
Number line: ... 7 8 9 10 [first person] [second person] [third person]
Let us see the scenario where the buttons for consecutive floors are pressed. Let the first person press the button for the 3rd floor. Then the second person could press the button for either the 2nd floor or the 4th floor.
We can only have the buttons for consecutive floors pressed if the second person presses the button for the 2nd floor
The probability of this happening. There are only 2 possibilities for the second person to press the button:
Press the button for the 2nd floor.
Press the button for the 4th floor.
Both of these possibilities are equally likely.
Therefore the probability that the second person will press the button for the 2nd floor is 1/2.The third person has only one choice. They can only press the button for the 4th floor.
Therefore the probability that the buttons for consecutive floors are pressed is 1/2 x 1 = 1/2 or 0.5.
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What is the value of x in this figure?
Enter your answer in the box.
x =
Answer:
114 degrees
Step-by-step explanation:
You can see if you draw a line 4 inches from 114 degrees and x degrees there are the same angle
The value of x in the given figure is 114° .
What are vertically opposite angles ?
A vertically opposite angle is a line intersected by two straight lines at a particular vertex, and these angles are also equal. These have also been referred to as vertical angles.
Here, in the given figure the two lines intersect at common point making vertically opposite angles of 114° and x° and therefore, these two angles will be equals according to the property of vertically opposite angles.
x= 114°
The value of x in the given figure is 114° .
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Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups until he is doing a total of 30 pushups each day. Which equation can we use to determine x, the number of days that it will take Keenan to reach his goal? In an expression
Answer:
Number of push up = 8 + 2x
Step-by-step explanation:
Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:
Number of push up = 8 + 2x
where x is the number of days.
To do 30 push ups, we can calculate the number of days needed:
30 = 8 + 2x
2x = 30 - 8
2x = 22
x = 11
Answer:
8+2x its from khan academy
Step-by-step explanation:
give person above brainliest :)
What is the probability of a customer buying carrots,?
OPTION 3: 10 percent
Answer:
I think the probability of a customer buying carrots is 10.0
• problem 2: suppose the joint probability density of x and y is fx,y (x, y) = 3y 2 with 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 and zero everywhere else. 1. compute e[x|y = y]. 2. compute e[x3 x|x < .5]
The expected value of X given Y = y is 0.5, and the expected value of X^3 given X < 0.5 is 0.03125.
To compute the given expectations, we need to use the concept of conditional expectations.
To compute E[X | Y = y], we need to find the conditional probability density function f(x | y) and calculate the expectation using the conditional density.
The conditional probability density function can be found using the formula:
f(x | y) = f(x, y) / fY(y)
where fY(y) is the marginal probability density function of Y.
In this case, since f(x, y) = 3y^2 and the support of X and Y is 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, we have:
fY(y) = ∫[0,1] f(x, y) dx = ∫[0,1] 3y^2 dx = 3y^2 * x |[0,1] = 3y^2
Therefore, the conditional probability density function is:
f(x | y) = (3y^2) / (3y^2) = 1
Since the conditional probability density function is constant, the conditional expectation E[X | Y = y] is simply the midpoint of the support of X, which is (0 + 1) / 2 = 0.5.
To compute E[X^3 | X < 0.5], we need to find the conditional probability density function f(x | X < 0.5) and calculate the expectation using the conditional density.
The conditional probability density function can be found using the formula:
f(x | X < 0.5) = f(x) / P(X < 0.5)
where f(x) is the marginal probability density function of X and P(X < 0.5) is the cumulative distribution function of X evaluated at 0.5.
The marginal probability density function of X is:
fX(x) = ∫[0,1] f(x, y) dy = ∫[0,1] 3y^2 dy = y^3 |[0,1] = 1
Therefore, the conditional probability density function is:
f(x | X < 0.5) = f(x) / P(X < 0.5) = 1 / P(X < 0.5)
To find P(X < 0.5), we integrate the marginal probability density function of X from 0 to 0.5:
P(X < 0.5) = ∫[0,0.5] fX(x) dx = ∫[0,0.5] 1 dx = x |[0,0.5] = 0.5
Therefore, the conditional probability density function is:
f(x | X < 0.5) = 1 / P(X < 0.5) = 1 / 0.5 = 2
Now we can calculate the conditional expectation:
E[X^3 | X < 0.5] = ∫[0,0.5] x^3 * f(x | X < 0.5) dx = ∫[0,0.5] x^3 * 2 dx = 2 * (1/4) * x^4 |[0,0.5] = 2 * (1/4) * (0.5^4 - 0^4) = 2 * (1/4) * (0.0625) = 0.03125
Therefore, E[X^3 | X < 0.5] = 0.03125.
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An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and Fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes this situation.
Answer:
x + y = 1000x ≥ 100y ≥ 300Step-by-step explanation:
Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...
x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets
x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels
y ≥ 300 . . . . . . . . . Fort Wayne needs at least 300 bushels
Answer: x + y = 1000 This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )
x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels
y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels
Step-by-step explanation:
The distribution could be anything within the darkest shaded area in the attached graph.
For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.
Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left