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3 years ago

Hi! Help with this: What is the factored form of 6n4 – 24n3 + 18n?

1 answer:

8 0

6(1n4-4n3+3n)
Explanation:
6 is the lcm of 6,24, and 18. So you will then do 6 divided by 6, 24 divide by 6, and 18 divided by 6. Then replace 6 with your answer, 24 with your answer, and 18 with your answer.
Its not the best explanation but its the best I can do.

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What is the value of x? Please answer details are below

nydimaria [60]

Answer:

Step-by-step explanation:

Angles in a triangle add to 180° and we can see a right angle so

x = 180 - ( 90 + 36 )

x = 180 - 126

x = 54

4 0

4 years ago

Some people advised that in very cold weather, you should keep the gas tank in your car more than half full. irene's car has 6

Angelina_Jolie [31]

Answer:

irene spent $23.45

Step-by-step explanation:

Cost of gas = $3.50 per gallon = 350 cents

Quantity of gas = 6.7 gallons

Amount spent = Cost * Quantity

Amount = 350 * 6.7

Amount = 2345 cents

Amount = $23.45

3 0

3 years ago

Sally hopes to buy a 10 - kayak for $15,000. Describe all the numbers that when round to the nearest hundred are 15,000

Masteriza [31]

Answer:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000

Step-by-step explanation:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000.

How this is possible.

1) all the numbers from 0-4 are not counted as the next number when rounded off.

2) all the numbers from 5-9 are counted as the next number when rounded off.

Example Suppose we have numbers from 15- 19.

These numbers can be rounded off to 20

But numbers from 10-14 would never be rounded off to 20 instead they are rounded as 10.

Same happens in the hundreds case.

If we have numbers from 450 - 499 they can be rounded as 500

And numbers from 400 - 444 cannot be rounded as 500 but the number 445 may be rounded as 450 . When we carry 5 from units place and replace it as 450 then again 450 can be rounded to 500.

Same happens with 15000 but when are rounding nearest hundred not ten.

Thus all the numbers ranging from 14,500 to 15444 would be rounded to 15000.

7 0

3 years ago

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. Find the length of t

Nutka1998 [239]

1) If we let the lengths of the legs be x and 2x, then by the Pythagorean theorem,

$x+2x+\sqrt{x^{2}+(2x)^{2}}=28\\3x+x\sqrt{5}=28\\x(3+\sqrt{5})=28\\x=\frac{28}{3+\sqrt{5}} \cdot \frac{3-\sqrt{5}}{3-\sqrt{5}}=21-7\sqrt{5}$

This means that the length of the hypotenuse is:

$\sqrt{5}(21-7\sqrt{5})=\boxed{21\sqrt{5}-35}$

2) (Diagram attached) We know that

$\cos 51^{\circ}=\frac{x}{58}\\x=58 \cos 51^{\circ} \approx \boxed{36.5}$ (in cm)

3) From the Pythagorean identity,

$\sin^{2}\left (\arccos \frac{5}{13} \right)+\cos^{2} \left (\arccos \frac{5}{13} \right)=1\\\left(\frac{5}{13} \right)^{2}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\frac{25}{169}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\sin^{2} \left (\arccos \frac{5}{13} \right)=\frac{144}{169}\\\sin \left (\arccos \frac{5}{13} \right)=\boxed{\frac{12}{13}}$

4) $\frac{\pi}{6}$

7 0

2 years ago

Explain how you can find 3x584 using expanded form

nasty-shy [4]

<em>I believe what you need to do is multiply 3 by each number.
To start, 3*584 is 1752. Expanded form written out would be (3*500)+(3*80)+(3*4). Simply multiply all the numbers and then add them together. 3*500=1,500; 3*80=240; 3*4=12. 1,500+240=1740+12=1752. Hope this helps! :)</em>

5 0

3 years ago