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sineoko [7]
3 years ago
8

Expand & simplify (x - 2)(x+4)(0-6)

Mathematics
2 answers:
jek_recluse [69]3 years ago
5 0

Answer:

(x^2 +4x)+(-2x -8)+(-6)=x^2 +2x -14

Step-by-step explanation:

Hope this helped have an amazing day!

trasher [3.6K]3 years ago
3 0

Answer:

(x^2 +4x)+(-2x -8)+(-6)=x^2 +2x -14

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PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of
Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: \pi \approx 3.14

V (volume) = ?

Solving: (Cone volume)

V = \dfrac{ \pi *r^2*h}{3}

V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}

V = 3.14*16*4

\boxed{V = 200.96\:cm^3}

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: \pi \approx 3.14

If: We know that the volume of a sphere is V = 4* \pi * \dfrac{r^3}{3} , but we have a hemisphere, so the formula will be half the volume of the hemisphere V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}

Formula: (Volume of the hemisphere)

V = 2* \pi * \dfrac{r^3}{3}

Solving:

V = 2* \pi * \dfrac{r^3}{3}

V = 2*3.14 * \dfrac{4^3}{3}

V = 2*3.14 * \dfrac{64}{3}

V = \dfrac{401.92}{3}

\boxed{ V_{hemisphere} \approx 133.97\:cm^3}

What is the approximate volume of this figure?

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark

Answer:

The volume of the figure is approximately 335 cm³

_______________________

I Hope this helps, greetings ... Dexteright02! =)

8 0
3 years ago
Read 2 more answers
Shawn Fitzgerald finds a suitable property and agrees upon a selling price of $137,900. The mortgage company requires a 20% down
Phantasy [73]
Amount financed
137,900−137,900×0.20
=110,320
number of thousands
110,320÷1,000
=110.32
Multiply it by the monthly payment per thousands
110.32×7.34
=809.7488
Now multiply it by the number of months in a year
809.7488×12 months
=9,716.9856
Multiply it by the number of years
9,716.9856×30
=291,509.568
Now the total amount of interest charged
291,509.568−110,320
=181,189.568 round your answer
=181190...answer

Hope it helps
4 0
3 years ago
Read 2 more answers
What is the square root of 6.25
Crazy boy [7]

Answer:

2.5

Step-by-step explanation:

6 0
3 years ago
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a
vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

\frac{x}{10} +\frac{x}{3} = 6.5

L.C.M of (10,3) = 30

Than the equation becomes

3x +10x = 195

solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

6 0
3 years ago
Find the error and explain why its wrong
UNO [17]

Answer:

The last part.

Step-by-step explanation:

The error is only at the last part. Basically the answer part.

The answer should be —

13 \sqrt{5}

We don't multiply the square roots when adding or subtracting. That'd contradict the rules.

Here, we let the square root of five as x-term.

\sqrt{5}  = x

4 \sqrt{5}  + 9 \sqrt{5}  = 4x + 9x

As we add up, we would get 13x. Thrn we convert x-term back to square root of five.

The answer would be —

13x \\ x =  \sqrt{5}  \\ 13 \sqrt{5}

Remember that we don't multiply the square roots when adding or subtracting.

5 0
3 years ago
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