Solve by substitution {x-4y=22} and {4x-5y=22}

Answer: a) The least number of rides needed for 15000 people is 1250.

b) No

Step-by-step explanation:

Since we have given that

Number of people an amusement park holds = 12 people per ride.

Number of people is needed for the least number of rides = 15000

Let the number of rides be 'x'.

a) So, our inequality will be

Hence,the least number of rides needed for 15000 people is 1250.

b) Do you think it is possible for 15,000 to ride the thrill ride in 1 day? Explain.

Since there is 1250 rides, and

If we assume that the amusement park is open for 8 hours.

Then, each ride takes

But each rides takes atleast 5 minutes.

So, it is not possible to ride the thrill ride in 1 day.

Answer:

1.

2. 3.2362

3.

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as  

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc =

First answer choice is right.

2.

By definition, Csc is the inverse of Sine . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Third answer is right.

Answer:

1). First option √13/3

2).  Third option 3.2362

3). Third option   60/11

Step-by-step explanation:

1). To find cosec θ

It is given cot θ = 2/3

We have cotθ = adjacent side /Opposite side

Hypotenuse = √(adjacent  side² + opposite side²) =√(2² + 3²) = √13

Cosec θ = Hypotenuse/opposite side = √13/3

2). To find cosec θ

It is given that,

Sinθ  = 0.3090

Cosec θ = 1/Sinθ  = 1/0.3090 = 3.2362

3). To find cot θ

It is given that,

Tanθ  = 11/60

Cot θ  = 1/tan θ  = 1/(11/60) = 60/11

y-ordinate of x-intercept is 0 .Putting y = 0 in the equation we get 1 3 x + 0 = − 15 or 1 3 x = − 15 or x = − ( 3 ⋅ 15 ) = − 45 ∴ x=intercept is ( − 45 , 0 ) graph{-1/3x-15 [-80, 80, -40, 40]}[Ans]

Hope this helped.

Your answer:

x-intercept is ( -45 , 0 )

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x. To find the y-intercept, substitute in  0  for  x  and solve for  y.

x-intercept: (−45,0)

y-intercept:  (0,−15)