Find the measure of z. <br><br> A. 80°<br> B. 83 °<br> C. 70 °<br> D. 87 °

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

4 0

3 years ago

Giving brainlist to whoever answers

Setler79 [48]

Answer:

m<A=94

Step-by-step explanation:

(2x+10)+(2x+2)=180

4x+12=180

-12 -12

4x=168

/4 /4

x=42

m<A= 2x+10

m<A=2(42)+10

m<A=84+10

m<A=94

Check:

Add m<A and m<B which should equal 180.

m<B=2x+2

m<B=2(42)+2

m<B=84+2

m<B=86

94+86=180

3 0

3 years ago

Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0

3 years ago

By paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?

Elden [556K]

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

<h3>What is installments?</h3>

When you get an installment loan, you get the money you borrowed or the item you bought right away.

You pay it off in installments, which are regularly scheduled payments that may include interest.
For a set number of months, or years, you generally owe the same amount on every installment.
When the loan is fully repaid, the account is permanently closed.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

To know more about the installments, here

brainly.com/question/16032019

#SPJ4

The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

4 0

2 years ago

La familia Sánchez Olguín, quiere terminar de construir su casa y necesita S/.25000 para todos los gastos del acabado de la casa

erastova [34]

Extraemos los datos del problema:

Capital Inicial → C₀ = S/.25000
Interés bimestral → i = 8 % = 0.08
Periodos → n = 3

<h2 /><h2>Bimestre 1:</h2>

Capital Inicial Bimestre → C = S/.25000

Tasa de interés bimestral:

I = C×i

I = S/.25000 × 0.08

I = S/.2000

Monto final:

M = C + I

M = S/.25000 + S/.2000

M = S/.27000

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 27000 - 25000) / 25000

% = 8

<h2>Bimestre 2:</h2>

Capital Inicial Bimestre → C = S/.27000

Tasa de interés bimestral:

I = C×i

I = S/.27000 × 0.08

I = S/.2160

Monto final:

M = C + I

M = S/.27000 + S/.2160

M = S/.29160

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 29160 - 25000) / 25000

% = 16.64

<h2>Bimestre 3:</h2>

Capital Inicial Bimestre → C = S/.29160

Tasa de interés bimestral:

I = C×i

I = S/.29160 × 0.08

I = S/.2332.8

Monto final:

M = C + I

M = S/.29160 + S/.2332.8

M = S/ 31492.8

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 31492.8 - 25000) / 25000

% = 25.97

7 0

3 years ago

Find the measure of z. A. 80° B. 83 ° C. 70 ° D. 87 °