Answer:
The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet
Step-by-step explanation:
The given information are;
The position of the seat on the Ferris wheel = The center level of the wheel
The diameter of the Ferris wheel = 210 feet
The angle of rotation of the wheel = 45° counterclockwise
The height of a point on the Ferris wheel is given by the relation;
h = A·cos(b·x + c) + d
With regards to the question, we have;
h = The height of the seat of the Ferris wheel
A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet
360/b = The period
c = The phase shift = 90°
d = The mid line = 0
For a rotation of 45° counterclockwise or-45° clockwise, we have;
b·x = 45°, therefore;
h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0
h = 105 × cos(135°) ≈ -74.25 feet
Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.
In this exercise we have to know about rotation, therefore: the change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet.
The given information are:
The position of the seat on the Ferris wheel = The center level of the wheel. The diameter of the Ferris wheel = 210 feet The angle of rotation of the wheel = 45° counterclockwise
The height of a point on the Ferris wheel is given by the relation:
[tex]h = A*cos((b)(x) + c) + d[/tex]
With regards to the question, we have:
h = The height of the seat of the Ferris wheel
A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet
360/b = The period
c = The phase shift = 90°
d = The mid line = 0
For a rotation of 45° counterclockwise or-45° clockwise, we have;
[tex](b)(x) = 45\\h = 105 *cos(45 + 90) + 0 = 105 * cos(135) + 0\\h = 105 *cos(135) = -74.25 feet[/tex]
Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.
See more about rotates at brainly.com/question/1571997
Suppose that a number written as a decimal has an infinite number of no -repeating digits after the decimal point. What is this number called?
Answer:
irrational
are the numbers like 7.55782902..where the numbers aren't repeated
Which is the first step in solving
x - 4 = 4
Add 4 to the left side.
Subtract 4 from the left side.
Subtract 4 from both sides.
Add 4 to both sides.
Answer:
X-4=4
Solution :
X=4+4
X=8
:)
please help!!!!!!!!!
To find the midpoint, we just have to add the x values and divide by two then add the y values and divide by two
x-value = (7 + 3) / 2 = 5
y-value = (2 + 4) / 2 = 3
The midpoint = (5, 3)
0.0084 scientific notation
Answer:
8.4*10^-3
Step-by-step explanation:
Move the decimal point 3 places in order to get a number in the one's place.
Use the Distance Formula to find VW PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
[tex]d=5[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(4-1)^2+(-1-3)^2}[/tex]
[tex]d=\sqrt{(3)^2+(-4)^2}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :) MAKE IT MAKE SENSE TO ME
Answer:
14.
Step-by-step explanation:
For these types of questions, we will have to work backwards.
I have attached an image with this answer and I will explain it.
------------------------------------------------------------------------------------
She starts off with ?, and we divide 2, because she sold half of her comic books. Then, she buys 7 and she has 14.
---------------------------------------------------------
So, ? [tex]\div2[/tex]+7=14
We can work backwards,
so we will first subtract [tex]14-7=7[/tex] (Opposite of addition is subtraction)
And then [tex]7\times2=14[/tex] (Opposite of division is multiplication)
Answer: 14
Step-by-step explanation: 14 yes correct :)
what is faster, 100 km h -1 or 30 m s -1?
Answer:
30m/s
Step-by-step explanation:
100km/h * 5/18 = 27.7m/s
1. Bri read 6 more books than Zoe read. How many books did Zoe read? Let The number of books that Bri read
Answer:
Number of books Zoe read is Bri - 6. Thats as simplified I could get B - 6
Step-by-step explanation:
A carpenter makes tables and chairs. It takes 4 hours to make a table and 2 hours to make a chair. x represents the number of tables made each month y represents the number of chairs made each month What does the expression 4x+2y represent? A. the total number of hours used to make tables and chairs each month B. the total number of hours used to make 4 tables and 2 chairs C. the total number of tables and chairs that are made each month D. the total number of tables and chairs that are made in 6 hours
Answer:
A. the total number of hours used to make tables and chairs each month
Step-by-step explanation:
x = number of tables made each month
y = number of chairs made each month
It takes 4 hours to make a table and 2 hours to make a chair.
4x + 2y
The total number of hours used to make tables and chairs each month = 4x + 2y
The correct answer is A
A. the total number of hours used to make tables and chairs each month
At Paint-R-Us a group of five friends decide to go take a paint class for the night. The paint class is $150 dollars for all the supplies.
Answer:
If you're asking what the cost would be for all 5 friends to buy the supplies it would be $750 because $150(cost of supplies) multiplied by 5(number of people) equals 750.
Step-by-step explanation:
6(x + 1) - 5(x + 2)
Simplify help ASAP
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ x - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(x + 1) - 5(x + 2)}[/tex]
Distribute 6 through the parentheses
Similarly, distribute 5 through the parentheses
[tex] \longrightarrow{ \sf{6x + 6 - 5x - 10}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ x + 6 - 10}}[/tex]
The negative and positive integers are always subtracted but posses the sign of bigger integer
[tex] \longrightarrow{ \sf{ x - 4}}[/tex]
Hope I helped!
Best regards! :D
60=6(6−2n) please help
Answer:
-2
Step-by-step explanation:
60/2=6-2n
10=6-2n
6-2n=10
-2n=10-6
-2n=4
n=4/-2
n=-2
m-4=2m simplify please
Answer: m=-4
Step-by-step explanation: Plug -4 in for m
Answer:
m- 4=2m
m -2m=4
- m=4
m= -4
mark it as brainliest!!!
What is the domain of f?
Answer:
I hope C
Step-by-step explanation:
if I'm wrong please let me know
Answer: C
Step-by-step explanation:
The domain is all real values of x such that x is less than or equal to zero.
If x is greater than zero then all the positive numbers will make the number in the square root negative and that will become an imaginary number.
If x is zero then the number in the number will be 0 and find the square root of 0 is possible.
Two lines are perpendicular when... the product of their slope is -1, the product of the slope is greater than 0, they have the same slope, or when the slope is undefined?
The answer is the product of their slope is -1.
First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.
For instance,
If a line had the slope of 5, its inverse would have a slope of -1/5.
Now, if we multiply these numbers together,
5 * -1/5 = -1
The 5's cancel out.
This works for any two perpendicular lines
Answer:
The answer is the product of their slopes is -1.
Step-by-step explanation:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.
Write an equation that can be used to solve for Zach's age in the box below, use Z as the variable.
Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.
Step-by-step explanation:
Let the Zach's age be Z years.
6 times older than Zach = 6Z
Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)
Now,
[tex]6Z=3(Z+8)[/tex]
[tex]6Z=3Z+24[/tex]
[tex]6Z-3Z=24[/tex]
[tex]3Z=24[/tex]
Divide both sides by 3.
[tex]Z=\dfrac{24}{3}[/tex]
[tex]Z=8[/tex]
Therefore, the required equation is [tex]6Z=3(Z+8)[/tex] and Zach's age is 8 years.
Is y=x^4+3x^2 even, odd, or neither?
Answer:
EVENStep-by-step explanation:
the product of odd numbers is always odd
the product of even numbers is always even
the product of odd number and even one is always even
the sum of two odd numbers is always even
and the sum of two even numbers is always even
so if x is even number we have:
x²=x•x - even number
x⁴=x²•x² - even number
3x²=3•x² - even number
y = x⁴+3x² - even number
and if x is odd number we have:
x²=x•x - odd number
x⁴=x²•x² - odd number
3x²=3•x² - odd number
y = x⁴+3x² - even number
Please help me..
In the figure, the circle A with x passes through the centre y of the circle B is x^2+ y^2-4x+6y-12=0 and coordinates of x are (-4,5) then find the equation of circle A.
Answer: A: (x + 4)² + (y - 5)² = 8
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleTo find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:
[tex](r_A)^2=d^2=(x_A-x_B)^2+(y_A-y_B)^2[/tex]
= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8
Look at the two equations:
-3x + 6 = 21
- 3x + 6 <21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
Answer:
>21 -3×+6 = 20 plus 1 equals 21
Answer:
The answer is B, In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
Step-by-step explanation:
What equation is the equation of the line, in point slope form, that has a slope of -1.8 and passes through the point (-0.5, 1.9) ?
Answer:
Third option[tex]y -1.9=-1.8(x+0,5)[/tex]Step-by-step explanation:
Slope = -1.8
(-0.5,1.9)
[tex]m =-1.8\\(-0.5 , 1.9) = (x_1 ,y_1)[/tex]
Substitute values into point slope form
[tex]y-y_1=m(x-x_1)\\\\y -1.9=-1.8(x -(-0.5))\\\\y -1.9 =-1.8(x+0.5)[/tex]
Answer:
y − 1.9 = −1.8 (x + 0.5)
Step-by-step explanation:
Which of the following graphs represents the solution set for the inequali
-35-2x +1 <11
Answer:
You did not give the options, so i just will graph it.
The inequality is:
-35 - 2*x + 1 < 11.
Now we would want to isolate the x in one side, so we can start by adding 35 in both sides.
(-35 -2*x + 1) + 35 < 11 + 35
-2x + 1 < 46
now we can subtract 1 in both sides:
-2x + 1 - 1 < 46 - 1
-2x < 45
Now we can divide by -2, remember that if we multiply or divide by a negative number, then the "direction" of the sign changes.
(-2x)/-2 > 45/-2
x > -22.5
Then the graph of the set is an open dot at the point x = -22.5 (this means that the set does not include this point) and a line that extends to the right. (Extends to the right because x is larger than -22.5)
Below is an example of how to draw the graph that represents the set of solutions.
please help me ASAP! thank you I’m just really confused:)
The Triangle Angle Sum Theorem states that the sum of all interior angles of a triangle add up to 180 degrees.
Only Amy proved the theorem because she used postulates and theorems to construct a logical argument to show that the interior angles in a triangle add up to 180 degrees.
Which expressions are equivalent to 5^12 x 5^8? A. 25^20 B. (25^5)^4 C. (5^3 x 5^2)^4 D. (5^5)^4
Hey there! I'm happy to help!
When multiplying numbers with exponents, all you do is add the exponent numbers, so 5^12×5^8=5^20.
A is not equal to this.
B is also not equal to this. B is 25^20.
C is wrong as well. It is 5^5.
This leaves us with D, which does evaluate to 5^20. If you raise a power to a power you multiply the exponent numbers, and 5(4)=20.
The answer is D. (5^5)^4.
Have a wonderful day! :D
5^12 * 5^8
5^12+8
5^20
The only option that is equal to that is D.
(5^5)^4
5^5*4
5^20
Best of Luck!
evaluate x(-4) + x5y when x=7, y=-1
Answer:
-63
Step-by-step explanation:
please help... this is super complicted
Answer:
(a) 412 +A -B
(b) 412 +A -B + (A-20) -(B+14)
(c) 378 +2A -2B
Step-by-step explanation:
Water flowing in adds to the amount in the reservoir. Water flowing out subtracts from the amount in the reservoir.
__
(a) 412 + A - B . . . . at the end of January
__
(b) Flowing in was (A -20), flowing out was (B +14). In February, we start with the amount at the end of January.
(412 +A -B) +(A-20) -(B +14)
__
(c) Simplifying the above, we have ...
412 -20 -14 +2A -2B = 378 +2A -2B
How many boxes of items will Jamie ship if she ships the greatest number possible in each box? Enter the correct answers in the boxes. She needs to ship 48 plates and 54 bowls to a store. She wants to ship the same number of items in each box. Plates and bowls are shipped separately.
Answer:
about 6 boxes for each
Step-by-step explanation:
both numbers have a common factor of 6, so 8 plates in each box, and 9 bowls in each box. She would need 12 boxes in total.
what’s 3y to the power of 2 minus 2y
Answer:
Step-by-step explanation:
5y 4 to the power
Jennifer is saving money to buy a bike. The bike costs $230. She has $125 saved, and each week she adds
$15 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Step-by-step explanation:
230 - 125 = 105
If she saves 15 every week
Then
105 ÷ 15 = 7 weeks
It will take her 7 weeks
The intersection of plane A and plane S will be
The intersection of lines n and kis
Point X is the intersection of
Answer: the intersection of plane A and plane S will be: line CW
the intersection of lines N and K is: point V
point X is the intersection of: line M and plane A
Step-by-step explanation:
Answer:
The intersection of plane A and plane S will be
✔ line CW
The intersection of lines n and k is
✔ point V
Point X is the intersection of
✔ line m and plane A
Step-by-step explanation:
274,389,451,379 rounded to the nearest hundred
