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Tatiana [17]
3 years ago
11

An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 mile

s/hour, find the rate at which the area is increasing when the radius is 3 miles. (The area of a disc of radius r is
Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

  37.7 mi²/h

Step-by-step explanation:

The area formula is ...

  A = πr²

Differentiating with respect to time gives ...

  dA/dt = 2πr·dr/dt

Filling in the given values, we have ...

  dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h

The area is increasing at the rate of about 37.7 mi² per hour.

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In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
lyudmila [28]

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

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2 years ago
How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution
SVEN [57.7K]

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

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telo118 [61]

Answer:

640

Step-by-step explanation:

8^2 = 64

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What is the solution to the equation 2/3x-5/6=-5/12x+1/4
vlabodo [156]

Answer: X=13/3

Step-by-step explanation:

1. Multiply Both sides by 12

8x-10=5x+3

2. Collect the like terms, calculate the sum

8x-5x=3+10

3.Divide both sides by 3

3x=13

Answer X=13/3

Alternative Form,

X= 4 1/3, X=4.3

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