Answer:
Step-by-step explanation:
I discounted the 2-m ramp. If we are supposed to be looking for the length of time the ride is above 38 m from the ground, that translates to 36 m from the very bottom of the circle that is the Ferris wheel (where the wheel would meet the "ground"). I first found the circumference of the circle:
C = 48(3.1415) so
C = 150.792 m
I enclosed this circle (the Ferris wheel is a circle) in a square and then split the square in 4 parts. Each square has a quarter of the circle in it. If you divide the circumference by 4, that means that the arc length of each quarter circle is a length of 37.698 m. But that doesn't put us 36 m above the ground, that only puts us 24 m above the ground (remember the diameter of the circle is 48, so half of that is 24, the side length of each of the 4 squares). What that means to us (so far, and we are not at the answer yet) is that when the height off the ground is 24 m, a car that starts at the bottom of the ride has traveled 37.698 m around the circle. Traveling in an arc around the outside of the circle is NOT the same thing as a height off the ground. Going around a circle takes longer because of the curve. In other words, if the car has traveled 37.698 m around the outside of the circle, it is NOT 37.698 m above the ground...it's only 24 m above the ground. Hence, the reason I enclosed the circle in a square so we have both the circle's curve {arc length} and height above the ground {side of the square}). As the car travels farther along the outside of the circle it gets higher off the ground. If one quarter of the circle is 24 m above the ground, we need to figure out how much farther around the circle we need to go so we are 36 m above the ground. The height difference is 36 - 24 = 12m. we need now to find how long the arc length of the circle is that translates to another 12 m (the difference between the 24 we found and the 36 total). Using right triangle trig I found that arc length to be 12.566. The total arc length on the circle that translates to 36 m above the ground is 50.26437 m.
Going back to the beginning of the problem, the circumference of the circle is 150.792, and it makes one complete revolution in 5 minutes. That means that a car will travel 30.1584 m in 1 minute. Since this is the case, we can use proportions to solve for how long it takes to get 36 m above the ground:
[tex]\frac{m}{min}:\frac{30.1584m}{1min}=\frac{50.26437m}{xmin}[/tex] and cross multiply:
30.1584x = 50.26437 so
x = 1.6667 minutes, the time it takes to reach a height of 36 m. BUT this is not what the question is asking. The question is asking how long it's HIGHER than that 36 m. Let's think.
The car starts at the bottom of the ride, gets to a height of 36 m, keeps going around the circle to its max height of 48 m, then eventually comes back down and keeps going til it's back on the ground. That means that there is a portion at the top of the wheel that is above 36 m. If it goes 50.2647 m around the circle til it's at 36 m, then when it passes the max height and drops back to 36 m, it's 50.2647 m around the other side of the circle. We just found that to travel that 50.2647 m, it took the car 1.6667 minutes. We travel this distance twice (once meeting the height going up and then again coming down) so that takes up 3.3334 minutes.
5 minutes - 3.3334 minutes leaves us off 36 m above the ground for 1.6664213 minutes.
Plz need help
What is the value of (2/3)
Answer:
2/9
Step-by-step explanation:
2(2/3)^2-4(2/3)+2
2(4/9)-8/3+2
8/9-8/3+2
-16/9+2
2/9
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
https://brainly.com/question/12940982
PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.
(3,−1) and (0,3)
Answer:
y = -4/3x +3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-1))/(0 -3) = 4/-3 = -4/3
The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.
The slope-intercept form equation is ...
y = mx +b
y = -4/3x +3
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
https://brainly.com/question/14382744
PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY
Answer:
Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air
First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.
Hope this helps!
The sum of the interior angles of
an n-sided polygon is 3600. The
value of n is [? ].
=====================================================
Work Shown:
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
3600 = 180(n-2)
3600/180 = n-2
20 = n-2
20+2 = n
22 = n
n = 22
Find the equation of the linear function represented by the table below in
slope-intercept form.
Answer:
5 over 1 (5/1) or 5.
Step-by-step explanation:
y is adding 5 each time and x is adding 1 each time.
Not sure about the equation part though.
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.
For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?
What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points
Answer:
basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.
Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
The answer is 8
x=3
4^3/2^3=8
The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there
i need HELLPPPPPPP PLEASEEE
Answer:
B
Step-by-step explanation:
thats the only one that can go on a number line correctly, plz mark me brainiest
The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.
Answer:
length: 32.25 cmwidth: 10.75 cmStep-by-step explanation:
Let w represent the width. Then 3w represents the length. The perimeter formula is ...
P = 2(L +W)
P = 2(3w +w)
86 cm = 8w
w = 10.75 cm
3w = 32.25 cm
The rectangle is 32.25 cm long and 10.75 cm wide.
Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
Learn more about interest in https://brainly.com/question/25725602
12 5 x-10 what is the value of x
Answer:
X=23
Step-by-step explanation:
12²+5²=(X-10)²
144+25=(X-10)²
169=(X-10)²
√169=√(X-10)²
13=X-10
X=23
Consider the number. -|-34.5| what is the distance from this number to zero on a standard number line??
Answer:
34.5
Step-by-step explanation:
The absolute value of -|-34.5| is -34.5. So, -34.5 is 34.5 away from 0.
Answer:
34.5 units.
Step-by-step explanation:
When we simplify -|-34.5|, we get -34.5, which is basically 34.5 units away from 0.
Hoped this helped.
can someone plz help with math?!
Answer:
150:30
150/30=5
so, every minute he burns 5 calories
Step-by-step explanation:
slope= 1/5
Answer:
Calories per minute: 5 calories
Slope: 1/5
Step-by-step explanation:
What inequality is represented by this graph?
O X > 6 O X _< 6 O X<6 OX_>6
last option in the picture
Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!
Answer:
r=20°
Step-by-step explanation:
Because the whole angle is 180°, you can make an equation.
105+(4r-5)=180
4r-5=75
4r=80
r=20
Give the other person brainliest ;)
Please helpppppppppppp
Answer:
5/4
Step-by-step explanation:
35/4 ÷ 14 = 5/4
That means 14 was multiplied by 5/4 to get 35/2
PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST
Answer:
See image
Step-by-step explanation:
In both of these the words "more than" mean adding and not the symbol >
difference means subtracting
See image
Lena ran in a 340-meter race.About how many feet did she run?
Answer:
1115.49 feet
Step-by-step explanation:
To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.
340*3.281= 1115.49
PLEASE HELP ME 100 POINTS (make full screen)
Answer:
See belowStep-by-step explanation:
Part 1Corresponding angles and sides of ΔMNP and ΔUVW are congruent:
∠M ≅ ∠U MP ≅ UW∠P ≅ ∠W PN ≅ WV∠N ≅ ∠V MN ≅ UVPart 2The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.
Corresponding sides are congruent:
3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3Given ∠C ≅ ∠D
In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.
We can observe ∠AED ≅ ∠BEC as vertical angles.
Additional information we need is:
DE ≅ CEPart 4Triangles ABC and ADC are congruent by SAS:
AB ≅ AD∠DAC ≅ ∠BACAC ≅ ACTherefore corresponding sides BC and CD are also congruent
Perimeter of ABCD is:
P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cmAnswer:
Free to use your own personal information ℹ to help you find the best deal for the your business in the word of the day you free to do it and you can get a ghost 500k for your invitation or your personal life to make a name for your family and your family Merry Christmas and Happy New Year to you and your family Merry are you the
2x + 3y = 9
3x - y = 8
[tex]\left \{ {{2x + 3y = 9} \atop {3x - y = 8}} \right. <=>\left \{ {{2x + 3y = 9} \atop {9x-3x=24}} \right. <=>\left \{ {{2x+9x+3x-3x=9+24} \atop {9x-3x=24}} \right. \\<=>\left \{ {{11x=33} \atop {9x-3x=24}} \right. <=>\left \{ {{x=3} \atop {y=1}} \right.[/tex]
ok done. Thank to me :>
If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?
Answer:
see attached
Step-by-step explanation:
The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.
_____
The (x, y) components are ...
7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)
100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?
Answer:
$13,200
Step-by-step explanation:
20*3=60*20=1200
40*6=240*20=4800
40*9=360*20=7200
1200+4800+7200=13200
ANSWER:
360
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=4.225
Step-by-step explanation:
You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...
socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?
Answer:
John is incorrect. He did not multiply.
Step-by-step explanation:
If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.
1 pair is $2.
2 pair are $4.
3 pair are $6.
4 pair are $8.
5 pair are $10.
6 pair are $12.
7 pair are $14.
13 pair are $26.
There is no way to spend $27 on these socks.
25 pair are $50.
Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.
6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.
Which equation could be used to solve the question below?
Justine went to the doughnut shop and bought d boxes of 24 doughnut holes. Then, she took 37 doughnut holes to her morning meeting. Now, she has 83 doughnut holes left. How many boxes of doughnut holes did Justine buy in all?
Answer:
5 PLZ GIVE BRAINLIEST
Step-by-step explanation:
83+37 = 120
120/5=24
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)
I will mark you brinilylist if you got the best aswer
Answer:
-5
Step-by-step explanation:
considering they are counting in whole numbers it should be -5
How do I solve this please look for the x and then the y
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
