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2 years ago

Can someone help me out 10 points

Mathematics

2 answers:

amid [387]2 years ago

6 0

Answer:

1. B (firefighter question) 2. A (dance lesson fee question) 3. A (dolphin question)

Step-by-step explanation:

1. The firefighters gear PLUS his weight is how much he weighs in total.

2. An added fee is usually represented as a registration fee or staring fee. There was 45w which should represent the fee she paid every week.

3. The dolphin swims at a rate of 25 kilometres per hour. The graph represents the distance the dolphin traveled because in two hours the dolphin would travel 50 kilometres (25 kilometres*2 hours) and so on.

jeyben [28]2 years ago

5 0

Answer:

Step-by-step explanation:

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Are 9 and 1/9 reciprocals?

Harlamova29_29 [7]

Answer:

yes

Step-by-step explanation:

9 can be represented as 9/1, which is the reciprocal of 1/9.

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2 years ago

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

A flood a creek's water level changes by −4 7/10 feet in 2 hours. What is the average change in the creek's water level per hour

dezoksy [38]

Answer:

-2.35

Step-by-step explanation:

Divide -4.7/2 = -2.35

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2 years ago

Thissss please‍♀️ AND THANK YOUUU

3241004551 [841]

Answer:

5*5*5*5 = 625

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2 years ago

Which behaviors might lead someone to have a low credit score?

zheka24 [161]

Not paying bills on time, or buying something you cant pay off.

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3 years ago

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