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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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Find the area of a triangle with a base length of 4 units and a height of 5 units.
miskamm [114]

Answer:

The area of the triangle is 10 square units.

Step-by-step explanation:

The formula for area of a triangle is A = \frac{1}{2}bh.  

The problem gives us this information:

b = 4 units

h = 5 units

You can use the formula and plug the numbers into the equation to find your answer of 10 square units.

5 0
3 years ago
Read 2 more answers
What is the quotient? -4/5÷2. A -1 3/5 B -2/5 C 1/2 D 1 3/5​
Travka [436]
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3 years ago
A chicken farmer brought in 157 eggs to be put into egg containers. If each container holds one dozen (12) eggs, how many contai
viva [34]

Answer:

There would be 13 full containers full. 1 egg will not be put into a container.

Step-by-step explanation:

If we divide 157 eggs into 12 dozen cartons, we can fill 13 and have o remaining egg.

Hope this helps!

7 0
3 years ago
Explain why there are restrictions on the domain for the function, f(x)= 1/x-7
sergiy2304 [10]

Yes , there is restriction on the domain for the function, f (x) = 1/(x- 7)

For explaining it i want to give a example to you.

Let us put x = 7,

Then we get,

f (x) = 1/(7-7)

= 1/0

It is indeterminant form or not defined form☝

So we cannot put x = 7 in this function.

And as we know that the values we put is called domain.

Therefore, there is restriction on uts domain.

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤

3 0
3 years ago
Read 2 more answers
Q+12-2(q-22)>0 solve
sineoko [7]

Answer: I think it goes like this im pretty sure ;)

Distribute

q+12-2q+44>0

Combine like terms

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Subtract 56 from both sides

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Multiply both sides by -1 (flip the inequality sign)

q<56

The Final answer: q<56

6 0
4 years ago
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