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3 years ago

What is the circumference of a circle with a radius of 8 cm? use 3.14 as an approximation for .

Mathematics

2 answers:

polet [3.4K]3 years ago

8 0

50.24 cm, the equation is 2 x 3.14 x 8 cm (radius)

Temka [501]3 years ago

8 0

D (50.24) is closest.

C = 2pi*r

C = 2pi*8

C = 50.27

Answer = D

Hope this helps! :)

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find two consecutive even integers such that five times the first integer is equal to four times the second integer

drek231 [11]

Answer:

8 and 10

Step-by-step explanation:

All you need to know to begin setting this up is that to get from one even integer to the next consecutive even integer, add 2.

Start with x = an even integer (yes, because you say so!)

Next even integer = x + 2

"five times the first integer is equal to four times the second integer"

5x = 4(x + 2)

Distribute the 4.

5x = 4x + 8

Subtract 4x

x = 8

The two integers are 8 and 10

5(8) = 4(10) as desired!

5 0

2 years ago

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Violet took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $4.75 per mile. The total

Mila [183]

Answer:

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Step-by-step explanation:

6 0

2 years ago

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Mr. Brown has taken out a loan of value $1,000 with a 5% APR. He has been paying off the loan at a constant rate of r = $150/yea

Dafna11 [192]

Answer:

$\frac{dp}{dt}$ = 0.05P - 150

Step-by-step explanation:

Let P(t) be the balance of the loan at time t years,

Let P(t) will satisfy $\frac{dp}{dt}=rP-R$

where r = annual interest rate

R = per year payment rate

R = $150/year

r = $\frac{5}{100}$ = 0.05 $\frac{5}{100}$

Now we have the following picture,

Interest Balance Payment

5% ⇒ P(t) ⇒ $150/year

(0.05)

Therefore, a linear ODE satisfied by P(t) is given by

$\frac{dp}{dt}$ = 0.05P - 150

6 0

3 years ago

Find the average rate of change of f(x)= x^2-4x from x of one =5 to x of two =9

ICE Princess25 [194]

The rate of change of function is: 10

Further explanation:

The formula for rate of change is:

$Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$f(x) = x^2-4x\\x_1 =5\\x_2=9\\So,\\f(x_1) = f(5) = (5)^2-4(5)\\=25-20\\=5\\f(x_2) = f(9) = (9)^2-4(9)\\=81-36\\=45$

Putting the values in the formula:

$Rate\ of\ change = \frac{f(9)-f(5)}{9-5}\\=\frac{45-5}{9-5}\\=\frac{40}{4}\\=10$

The rate of change of function is: 10

Keywords: Functions, Rate of change of functions

Learn more about functions at:

#LearnwithBrainly

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4 years ago

Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw

Monica [59]

$0.79 t + 24 =1.19t \\ \\ 1.19t - 0.79t =24 \\ \\ 0.4t =24 \\ \\ t =60 \\ \\ \\ \sf So, ~if~he~buys~60~tiles, ~then~the~price~will~be~the~same.$

4 0

3 years ago