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2 years ago

2/3b + 5 = 20 - b Solve for b

2 answers:

5 0

Okay, so with these equations, you collect 'like terms.' like terms are basically grouping things that are the same together, so for example a+a-b+2b would be 2a+b.
with this equation you want to do the same.
2/3b + 5 = 20 - b
first, make all the numbers integers (whole numbers). we want to make 2/3b a whole number, so we multiply the whole equation by 3 to keep everything in proportion with each other, thus ending up with
2b + 15 = 60 - 3b
now we collect 'like terms.'
add 3b to both sides gives
5b + 15 = 60
subtract 15 from both sides
5b = 45
divide by 5 to leave the value of b
b = 9

ad-work [718]2 years ago

3 0

Answer: B = 9

Hope this helps!

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A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

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3 years ago

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Bogdan [553]

Sorry I don't know that question.

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3 years ago

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2 years ago

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creativ13 [48]

Answer

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Step-by-step explanation:

its kinda hard to explain cause all i have to say is factor out the numbers that are either in the second parenthesis to get the numbers in the first or vice versa. if i want to get into more detail, the fist equation becomes 5p^2+9p-10p-18 and then you factor.

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2 years ago

Given: Circumscribed polygon ELPJ

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