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wel
2 years ago
15

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas

ing at 3 m/ s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?
Mathematics
2 answers:
Mazyrski [523]2 years ago
3 0
I believe it would be 6 due to the radius being a half of the actual circumfrence
zimovet [89]2 years ago
3 0
The relation between perimeter and radius  is P = 2 pi r

dP/dr = 2pi

dP/dt = 3  

when r = 2   dr/dt  = dP/dt * dr/DP =  3 * 1/2pi  = 0.477  m/s
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pychu [463]

Answer:

River C is: 2,965 miles long.

River D is: 2,565 miles long.

Step-by-step explanation:

C=400+D\\C+D=5530

Have a great day! ^^

7 0
3 years ago
Devaughn is 15 years younger than Sydney. The sum of their ages is 37 . What is Sydney's age?
posledela
Hi,
Let Sydney's age be x.
Devaughn=(x-15)
x+(x-15)=37
x+x-15=37
2x-15=37
2x=37+15
2x=52
x=52/2
x=26
Sydney is 26 years old.
Hope this Helps you.
7 0
3 years ago
Divide. −4 1/3 ÷ −2 3/5 A. 1 2/3 B. 1 4/5 C. 2 1/5 D. 2 3/5
Inga [223]

a. 1 \frac{2}{3}

trust me it's the correct answer :)

7 0
3 years ago
Consider the parabola represented by the equation -2y^2=4x
stepan [7]
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Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.

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5 0
2 years ago
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Stolb23 [73]

Answer:

One tailed

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Step-by-step explanation:

We are given the following in the question:

The manufacture wants to compare increase in the mean gas mileage.

Population mean = 32 miles per gallon

Thus, the manufacture could carry a hypothesis test to compare mean.

A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.

Thus,

The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.

6 0
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