Answers
Answer:
94281 km +- 1 km
572.2 km +- 0.1 km
Related Questions
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t
Answers
Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answers
Answer:
65 + .70(20)= 79 dollars
Step-by-step explanation:
65+0.70miles = Fee
this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same
Find the gradient of the following line
Answers
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?
Answers
Answer:
you would need 6 scoops of sugar
Answer:
You would need 15 scoops of sugar per 3.5 oz
Step-by-step explanation:
please answer this question
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?
Answers
Answer:
11
Step-by-step explanation:
first you add 6 + 7 = 13
then you 13 - 2 which gives you eleven!
Help Please I will mark brainlist dont answer if you don’t know and no links.
Answers
Answer:
63
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
Unit 9 test: Trigonometry
What’s the correct answer to this problem
Answers
Answer:
See below.
Step-by-step explanation:
Remember SOHCAHTOA.
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(64) = x / 94
Multiply both sides by 94.
94sin(64) = 94x / 94
Simplify
x = 94sin(64)
x = 84.487 = 84.5
What is the measure of arc GH?
Answers
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
Assume the
28 Water is being poured into a fish tank at a rate of 2 L every 10 seconds. The tank is 1.2 m long by Im
wide by 80 cm high. How long will it take to fill the tank? Give the answer in minutes.
Answers
Answer:
80 minutes
Step-by-step explanation:
1. Determine the volume of the tank
volume = length x width x height
100 cm = 1 meter
80cm /100 = 0.8m
1.2 x 1 x 0.8 = 0.96m³
2. convert litre to meter
1 liter = 0.001 m
2 litres = 0.002m
3. determine the time it would take to fill 0.96m
(0.96x 10) / 0.002 = 4800 seconds
4. convert seconds to minutes
60 seconds = 1 minute
4800 seconds / 60 = 80 minutes
2l = 0.0
a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Scale\ length = 8ft[/tex]
Required
Determine the scale of the drawing
The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:
The scale of a drawing is represented as:
[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]
This gives:
[tex]Scale = 8ft : Actual[/tex]
Assume the actual length of the kitchen is 24ft.
The equation becomes:
[tex]Scale = 8ft : 24ft[/tex]
Divide by 8ft
[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]
[tex]Scale = 1 : 3[/tex]
1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length
Answers
Answer:
The answer is 612
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
Answers
what is thirty times 80
Answers
Answer:
2400
Step-by-step explanation:
3 times 8 is 24
24 added by two zeros is 2400
Hope this helps!
help i’ll give brainliest
Answers
Answer:
The answer would be D, hope this helps
Solve for angle A. Please help quickly !!
Answers
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____
A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2
Answers
Answer:
B.
Step-by-step explanation:
A = ab/2
A = (6 cm)(10 cm)/2
A = 30 cm^2
Answer: B.
6x – 3x + 4 – 2x = x + one solution ,no solution, and many solution
Answers
Answer:
6x – 3x + 4 – 2x = x
x+4=x
4=0
no solution
hope this helps
have a good day :)
Step-by-step explanation:
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answers
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian
A regular size bag of Skittles costs $1.24 and contains 62 candies. How much does EACH candy cost?
Answers
Answer:
2 cents or $.02
Step-by-step explanation:
1.24/62=.02
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answers
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
Ryan invested $5,900 in an account paying an interest rate of 5% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 11 years?
Answers
Answer:
10214.51
Step-by-step explanation:
5900 * (1+ (0.05/12))^(12*11)
please give brainliest
Answer:
10214.51
Step-by-step explanation:
YALLL HELPP ME PLEASEE!!!!!!!!
Answers
Step-by-step explanation:
1. -5 not suree
2.50
my anwser could be wrong sooo...
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answers
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
does anyone know this
Answers
Answer:
a=170
Step-by-step explanation:
180-6=174mil
round to 170.
Answer:
4.9 (rounded)
Step-by-step explanation:
a^2 + 1^2 = 5^2
a^2 + 1 = 25
- 1 - 1
= a^2 = 24
[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)
Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.
Answers
Answer: $2400
Step-by-step explanation:
Given
Maria got a hike of 3%.
After the hike she earns $2472 each month
Suppose, before hike she earns x each month
[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]
Thus, she earns $2400 before the hike.
find the value of x
Answers
Answer:
x = 25
Step-by-step explanation:
40 is a vertical angle equal to the angle to the right of 2x.
2x, 40, and 90 are supplementary angles (they add up to 180)
2x + 40 + 90 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Answer:
they are right
Step-by-step explanation:
Given that Δ C A T ≅ Δ D O G, select all statements that must be true
Answers
Identify the sample space of the probability experiment: answering a true or false question.
Answers
Answer:
we would need to know what the experiment was or we can't awnser