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3 years ago

8

Consider a cylinder with radius 4 cm and a height of 12 cm. Describe how to calculate the volume of the given cylinder and what

the volume means.

1 answer:

Talja [164]3 years ago

5 0

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=\stackrel{cm}{4}\\ h=\stackrel{cm}{12} \end{cases}\implies V=\pi (4)^2(12)\implies V=192\pi~cm^3$

192π is about 603.19 cm³.

well, it means if you grab a hmmmm cube, say that is 1cm x 1cm x 1cm, namely a 1cm tall, 1cm wide and 1cm long, whose value is 1cm³, you can fit 603.19 of those in that cylinder.

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The angle which is less than 90 degrees is called?

BlackZzzverrR [31]

Answer:

An acute angle is an angle less than 90°

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Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the

Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = $0.8\times175000$ = $140000

20% of 175000 is = $0.2\times175000$ = $35000

Emi formula is :

$\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }$

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = $30*12=360$

Putting values in formula we get

$\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }$

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = $30*12=360$

Putting values in formula we get

$\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }$

= $245.301

Adding both the monthly payments:

$729.508+245.301=974.809$ dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

$975.63\times12\times30=351226.80$ dollars

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3 years ago

P = A + B + C Find P if A = 23 B = 17 C = 29 P=

madam [21]

Answer:

P = 69!

Step-by-step explanation:

23+17+29 = 69 :)

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3 years ago

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

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Write 7.96 as a mixed number in simplest form

Vilka [71]

Answer:

199/25

Step-by-step explanation:

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3 years ago

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