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3 years ago

Please help i’m so confused

Mathematics

1 answer:

AnnZ [28]3 years ago

3 0

The picture isn’t loading can you re do it because I don’t see it????

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Determine the area of the figure.

LekaFEV [45]

Answer: 3x - 6 (in^2)

Step-by-step explanation:

base * height / 2

3 ( 2x - 4) / 2 (in^2)

= 3x - 6 (in^2)

5 0

2 years ago

Read 2 more answers

Jamie is riding a Ferris wheel that takes fifteen seconds for each complete revolution. The diameter of the wheel is 10 meters a

Agata [3.3K]

Answer:

The answers to the question is

(a) Jamie is gaining altitude at 1.676 m/s

(b) Jamie rising most rapidly at t = 15 s

At a rate of 2.094 m/s.

Step-by-step explanation:

(a) The time to make one complete revolution = period T = 15 seconds

Here will be required to develop the periodic motion equation thus

One complete revolution = 2π,

therefore the we have T = 2π/k = 15

Therefore k = 2π/15

The diameter = radius of the wheel = (diameter of wheel)/2 = 5

also we note that the center of the wheel is 6 m above ground

We write our equation in the form

y = $5*sin(\frac{2*\pi*t}{15} )+6$

When Jamie is 9 meters above the ground and rising we have

9 = $5*sin(\frac{2*\pi*t}{15} )+6$ or 3/5 = $sin(\frac{2*\pi*t}{15} )$ = 0.6

which gives sin⁻¹(0.6) = 0.643 = $\frac{2*\pi*t}{15}$

from where t = 1.536 s

Therefore Jamie is gaining altitude at

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ 1.676 m/s.

(b) Jamie is rising most rapidly when the velocity curve is at the highest point, that is where the slope is zero

Therefore we differentiate the equation for the velocity again to get

$\frac{d^2y}{dx^2} = -5*(\frac{\pi *2}{15} )^2*sin(\frac{2\pi t}{15})$ =0, π, 2π

Therefore $-sin(\frac{2\pi t}{15} )$ = 0 whereby t = 0 or

$\frac{2\pi t}{15}$ = π and t = 7.5 s, at 2·π t = 15 s

Plugging the value of t into the velocity equation we have

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ - 2/3π m/s which is decreasing

so we try at t = 15 s and we have $\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi *15}{15}) = \frac{2}{3} \pi$ m/s

Hence Jamie is rising most rapidly at t = 15 s

The maximum rate of Jamie's rise is 2/3π m/s or 2.094 m/s.

7 0

3 years ago

Find the distance between his house

Hunter-Best [27]

Here we are supposed to find the distance between the two points

Suppose A=(-8,-9), B=(-4,-10)

Now As per the distance formula we know that the distance between two points is given by the formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\ D= \sqrt{(-4+8)^2+(-10+9)^2}\\ \\ D=\sqrt{(4)^2+(-1)^2}\\ \\ D=\sqrt{16+1}\\ \\ D=\sqrt{17} \ miles$

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3 years ago

A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished

fiasKO [112]

Answer:

75%

Step-by-step explanation:

1 = 10%

2 = 25%

3 = 50%

4 = 75%

5 = 100%

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2 years ago

To which sets of numbers does −1/4 belong? Select each correct answer.

Pachacha [2.7K]

-1/4 will be ration because all fractions are rational

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3 years ago