A carnival ride consists of four circular cars - a b c d - each of which spins about at its center point The center points of cars a and b are attached by a straight beam as are the center points of c and d The 2 beams are attached at their midpoints by a rotating arm. A plan for the ride uses coordinate plane in which each unit represents one meter. In the plan, the center of car A (-6,-1) and B (-2,-3) and C (3,4) and D (5,0). Each car has a 3m diameter
Answers
Answer:
Hello your question is incomplete attached below is the complete question
Answer : The shape of the fence will be a circle
dimensions of the fence are : radius = 6.5 meters
Step-by-step explanation:
First we calculate the length of the different arms
AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]
≈ 4.47
CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]
≈ 4.47
Next we calculate the midpoint of these two arms
M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )
M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex] = ( 4,2 )
hence midpoint of M1,M2 =( M ) = ( 0,0 )
finally considering M calculate the distance between M and car B,D
MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex] = 3.60
MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex] = 5
therefore the radius of the fence will be
= 5 + 1.5 = 6.5 meters ( because MD > MB )
Related Questions
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answers
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
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Last week at Best Bargain, 20% of the computers sold were laptops. If 70 computers were sold last week, how many were laptops?
Answers
7000/20= 350
Answer: they were a total of 350 laptops
I need someone’s help please I don’t know this that well
Answers
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
The vertex of the parabola is (1,6).
Y=x^2- 2x - 5
O True
O False
Answers
Answer:
true ig
Step-by-step explanation:
gfsetghdfr
Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?
Answers
I please need help finding the value of x.
Answers
Answer:
x = 7
Step-by-step explanation:
If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14
2x = 14 ⇒ x = 7
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answers
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
can someone please help me with math
Answers
Answer:
[tex]x = 71[/tex]
Step-by-step explanation:
The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.
Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.
[tex]180 - 40 - 31 = 109[/tex]
So the missing angle is 109°. Now we can find the value of x.
We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.
[tex]180 - 109 = 71[/tex]
Now we know x is 71
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
Answers
is y=.75x+2 proportional or non proportional
Answers
Answer:
non proportional
Step-by-step explanation:
» What is 2 to the power of 0? Submit
Answers
Answer:
1
Step-by-step explanation:
Answer:
2⁰ power is equal to 1
Step-by-step explanation:
Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!
Please I beg you help me
Answers
Answer:
Option D
Step-by-step explanation:
Going through the choices will help determine which option best simulates the random selection of a voter.
Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.
Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.
Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.
Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.
Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.
Nava has a higher chance of being voted, so this option does not fit the stimulation.
Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang
In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.
Hope this helps :)
quadratic formula:
3x^2+2x-4=0
Answers
Answer: i hope this helps!
I need help plz like ASAP
I will give you a Brainist if you answer first
Answers
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function (simplify to slope- intercept form). c. Use the linear function in part (b) to determine the base cost of making your own fruit juice.
Answers
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
Answers
Answer: 3/16(x+4)(x-4)(x-2)
Step-by-step explanation:
What is the answer to 4^8/4^3 in 4^n form
Answers
Answer:
4^5
Step-by-step explanation:
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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
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For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answers
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
https://brainly.com/question/19491153
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answers
Answer:
None of them like the android tablet
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answers
Answer:
7
Step-by-step explanation:
A park contains 210 trees on 40 acres. What is rate of trees per acre at the park?
Answers
Answer:
the answer would be 210:40
Step-by-step explanation:
I need help on all of them :(
Answers
2) right angle triangle
3)isosceles triangle
For the calculation part use calculator
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answers
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
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Question 5 (1 point)
At the corner produce market, apples cost $2 each and
oranges cost $1 each.
Find the cost of:
a. 6 apples and 3 oranges:$
apples &
oranges
b. 4 apples and 4 oranges:$
apples &
oranges
c. 5 apples and 4 oranges:
apples &
oranges
d. 8 apples and 2 oranges:$ apples &
oranges
Blank 1:
Blank 2
Blank 3:
Blank 4:
Blank 5
Blank 6:
Blank 7
Blank 8:
Answers
Answer/Step-by-step explanation:
Unit cost of apple = $2 let each
Unit cost of orange = $1 per each
a. Cost of 6 apples = 6 × $2 = $12
Cost of 3 oranges = 3 × $1 = $3
b. Cost of 4 apples = 4 × $2 = $8
Cost of 4 oranges = 4 × $1 = $4
c. Cost of 5 apples = 5 × $2 = $10
Cost of 4 oranges = 4 × $1 = $4
d. Cost of 8 apples = 8 × $2 = $16
Cost of 2 oranges = 2 × $1 = $2
There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?
Answers
Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
solve this please!!!!!
Answers
So if I’m thinking correctly we subtract 180 from 217 which gives us 37. We then add that to 104 and subtract the sum from 180 which gives us b. So,
180-104+37
180-141=39
So b should equal 39 degrees, to check we add all the respective angles up,
104+39+37=180
The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The yyy-coordinate of point AAA represents the total cost of a 555-day car rental.
(Choice B)
B
The total cost of a 222-day car rental is \$90$90dollar sign, 90.
(Choice C)
C
None of the above
Answers
Answer:
The y-coordinate of point A represents the total cost of a 5-day car rental.
Step-by-step explanation:
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answers
Answer:
[tex]y > \frac{2}{15} [/tex]
Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...
Answers
Answer:
Step-by-step explanation:
the tables can be gererated by placing the x and y values on the equation
Answer:
I believe the answer is B but not for sure
Step-by-step explanation:
What is the answer I got it wrong
Answers
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation: