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tino4ka555 [31]

2 years ago

14

The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,

in units? 2x 4x 2πx2 4πx2

2 answers:

Mekhanik [1.2K]2 years ago

5 0

Answer:

It's A

Step-by-step explanation:

igor_vitrenko [27]2 years ago

4 0

Answer:

2x

The answer is A.

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Suppose that you borrow $10,000 for five years at 7% toward the purchase of a car. Find the monthly payments and the total inter

vovikov84 [41]

The payment would be $198.01 and the total interest would be $1,880.75. Pretty straightforward with a financial calc. I can show you the keystrokes if you want, just message.

5 0

3 years ago

Half-life of Po-210 is 140 days. If the initial mass of the sample is 5

Anna35 [415]

Answer:

$0.625kg$

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

$\displaystyle f(t) = a {0.5}^{t/T}$

where:

f(t) is the remaining quantity of a substance after time t has elapsed.
a is the initial quantity of this substance.
T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

$\displaystyle f(420)=5\cdot{0.5}^{420/140}$

reduce fraction:

$\displaystyle f(420)=5\cdot{0.5}^{3}$

By using calculator we acquire:

$\displaystyle f(420)=0.625$

hence, the remaining sample after 420 days is 0.625 kg

4 0

2 years ago

Find the value of x? please help

Stella [2.4K]

Answer:

49

Step-by-step explanation:

With these types of problems, you have to subtract the outer and inner values and then divide by 2. So, (125-27)/2 = 49. Hope this helps!

4 0

2 years ago

Read 2 more answers

A regular hexagon is shown.

zhuklara [117]

The central angle of the hexagon is equal to 60º.

Therefore, the trigonometric relationship for the radius is given by:

$cos (30) = \frac{a}{c}$

Where,

a: apothema of the hexagon

c: Hexagon radius.

Clearing the radio we have:

$c = \frac{a}{cos (30)}$

Substituting values:

$c = \frac{12}{cos (30)} c = 13.85$

Rounding to the nearest whole number we have:

$c = 14 in$

Answer:

The measure of the radius, c, rounded to the nearest inch is:

C. 14 in.

7 0

2 years ago

Read 2 more answers

Help i need an answer please dont answer if you are not positive

spayn [35]

What is the area of the shaded region and the circle inside?

$r=20,1m+13,2m=33,3m$
$A_1=\pi r^2$
$A_1=33,3^2\pi$
$A_1=1108,89\pi$

What is the area of the circle inside?

$A_2=20,1^2\pi$
$A_2=404,01\pi$

What is the area of the shaded region?

$1108,89\pi -404,01\pi =704,88\pi$
$704,88\pi \approx 704,88*3,14\approx 2213,3232\approx \underline{2213,32}$

The answer: 2213,32 :)

5 0

2 years ago