The list shows the number of stories in the 11 tallest buildings

When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

alexira [117]

Answer:

r=1/π

Step-by-step explanation:

Area of the circle is defined as:

Area = πr²

Derivating both sides

$\frac{dA}{dr}$ =2πr

$\frac{dA}{dt}$ = $\frac{dA}{dr}$ x $\frac{dr}{dt}$ = 2πr $\frac{dr}{dt}$

If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : $\frac{dA}{dt}$ =2 $\frac{dr}{dt}$

Therefore,

2πr $\frac{dr}{dt}$ = 2 $\frac{dr}{dt}$

r=1/π

5 0

3 years ago

Read 2 more answers

when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equ

Ulleksa [173]

C12H22O11(s)+12O2(g) =12CO2(g)+11H2O(g)

5 0

3 years ago

Please find this answer

Semenov [28]

Answer: I cant see the picture so I cant help sorry

Step-by-step explanation:

3 0

2 years ago

Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The

kupik [55]

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

8 0

2 years ago

Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mp

romanna [79]

Answer:

C. 210 miles

Step-by-step explanation:

We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.

We will use distance formula and Pythagoras theorem to solve our given problem.

$\text{Distance}=\text{Speed}\times \text{Time}$

$\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}$

$\text{Distance covered by Car 1 in 3.5 hours}=147\text{ Miles}$ .

Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.

$\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}$

$\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}$

Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.

$\text{Distance between both cars}=\sqrt{147^2+150^2}$

$\text{Distance between both cars}=\sqrt{21609+22500}$

$\text{Distance between both cars}=\sqrt{44109}$

$\text{Distance between both cars}=210.021427\approx 210$

Therefore, the both cars will be 210 miles apart and option C is the correct choice.

3 0

3 years ago