(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.

Write a formula for the height of the couple t seconds after the ride begins.

How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?

Answer:

Step-by-step explanation:

Given the question

A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.

Options

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The equation is written correctly, but there is an error in solving the equation.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

2

Let the length of one piece be x (shorter piece) and the other be y.

If the rope is cut into two pieces and 24ft long, then;

x+y = 24.......... 1

If one piece is half the length of the other, then x = y/2..... 2

substitute equation 2 into 1

y/2 + y = 24

take the LCM

y+2y/2 = 24

3y/2 = 24

cross multiply

3y = 48

Divide both sides by 3;

3y/3 = 48/3

y = 16 feet

Since x = y/2

x = 16/2

x = 8 feet

Based on the calculation above, I can conclude that;

- The student stated solution is correct (lengths of 16 feet and 8 feet)

- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

- Based on the way the variable is defined, the equation should be x + 2x = 24.

Answer:

Step-by-step explanation:

The answer is 15.

1/5 is 10

1/2 is 25

25+10=35

50-35 is 15, your answer. Hope this helped :)

Answer:

t = 4.2 h

Step-by-step explanation:

We can calculate the time taken by the car to travel 400 miles, easily by taking a difference of time in graph between 0 miles and 400 miles value:

t₄₀₀ = 3.5 h - 0 h

t₄₀₀ = 3.5 h

Now, we calculate the constant speed of the car from the following formula:

s = vt

v = s/t

where,

v = velocity of the car = ?

s = distance covered by the car = 400 mi

t = time taken = 3.5 h

Therefore,

v = 400 mi/3.5 h

v = 114.28 mi/h

Now, for this uniform speed the time taken to cover the distance of 480 miles will be:

114.28 mi/h = 480 mi/t

t = (480 mi)/(114.28 mi/h)

t = 4.2 h

I'm pretty sure it's B.

Answer: x=−4

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

No

Step-by-step explanation:

Let's define our 2 terms first.

2x³y

2xy²

We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are not like terms.

Answer:

15(iv) 68 units²

Step-by-step explanation:

Please see the attached picture for full solution. (Pictures 1 &2)

*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)

Answer:

18

Step-by-step explanation:

6+6+3+3

6+6+6

18

Answer:

  100 square inches

Step-by-step explanation:

The width of the shelf is BC = 20 - 10 = 10 inches.

The height of the shelf is AB = 30 - 10 = 20 inches.

The area of a triangle with these dimensions is ...

  A = (1/2)bh

  A = (1/2)(10 in)(20 in) = 100 in^2

The area of the shelf is 100 square inches.

2p10

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

To find the time taken for an object to travel given it's velocity and distance covered we use the formula

[tex]time = \frac{distance}{speed} \\ [/tex]

From the question

distance = 480 miles

speed = 40 mi/h

So we have

[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]

We have the final answer as

Hope this helps you

Step-by-step explanation:

#4: 156-120= 36

36÷4=9

Answer: B; 9 people per year

Step-by-step explanation:

#5: 84-60=24

24÷4=6

Answer: C; 6 degrees Fahrenheir per hour

Answer:

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours, is y - 110 = 55(x - 2)

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y_{1}=m(x-x_{1})[/tex] , where

m is the slope of the line (average)

[tex](x_{1},y_{1})[/tex] is a point on the line

→ The family is driving home  from vacation at an average speed

    of 55 miles per hour

∴ m = 55

→ After 2 hours they  are 110 miles from home

∵ x is the number of hours

∵ y is the distance in miles after x hours

∴ [tex]x_{1}[/tex] = 2

∴ [tex]y_{1}[/tex] = 110

→ Substitute these values in the form of the equation above

∴ y - 110 = 55(x - 2)

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours is y - 110 = 55(x - 2)

Answer:

3/4 ÷ 1/2 is one and one half or 3/2

Answer:

1.5 or 1 1/2

Step-by-step explanation:

3/4 divided by 1/2 is simply a reverse order of multiplication.

As you see if you swap the 1 and 2 in one half you get 2 over 1.

This changes the division sign to a multiplication sign.

Thus then you can multiply 3/4 by 2 to get 6/4.

6/4 then can be simplified as 1 and 1/2 or 1.5.

Answer:

x > 3

Step-by-step explanation:

Answer:

the answer is  5/8, 65%, 2/3, 0.7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Convert to improper fraction then do the math from there

Exact answer is 29415.5844

However if you round the multiplier it is

2.942x10^4 or $29420

Step-by-step explanation:

Plug it in a calculator. Divide debt by population.

Answer:

2 mL³

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume.

Plug in the mass and density, then solve for the volume:

D = m/v

6.2 = 12.4/v

6.2v = 12.4

v = 2

So, the volume is 2 mL³

Answer:

M<1 80 by the corresponding angles postulate

Step-by-step explanation:

Answer:

sor

Step-by-step explanation:

Answer:

6 months

Step-by-step explanation:

120 +10x = 204 - 4x

10x + 4x = 204 - 120

14x = 84

x = 6

Answer:

The amount of Polonium-210 left in his body after 72 days is 6.937 μg.

Step-by-step explanation:

The decay rate of Polonium-210 is the following:

[tex] N(t) = N_{0}e^{-\lambda t} [/tex]     (1)

Where:

N(t) is the quantity of Po-210 at time t =?

N₀ is the initial quantity of Po-210 = 10 μg

λ is the decay constant  

t is the time = 72 d  

The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.    

First, we need to find the decay constant:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]    (2)

Where t(1/2) is the half-life of Po-210 = 138.376 days

By entering equation (2) into (1) we have:

[tex] N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g [/tex]    

Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.  

I hope it helps you!  

Answer:

We can't tell because we can't see the diagram.

Step-by-step explanation:

Could you link the diagram?

Answer:

Answers is D 8

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

they already gave you what x is, all you have to do is plug x in where you see it.

(3)^2 - 5(3) + 8

9 - 15 + 8