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I think the answer is 15*sqrt3+15

Now let me try and explain how I got this.

< KJA = 60°     Ext < of a triangle is equal sum of opposite interior angles

triangle JKF is isosceles (2 equal angles) therefore  KJ=JF=10

consider triangle AJK

Sin30=1/2=AJ/10   so AJ=5

Using Pythagoras' Theorum

$$AK^2=10^2-5^2

AK^2=100-25

AK^2=75

AK=5\sqrt3$$

AF=5+10=15

$$\\KF^2=15^2+(5\sqrt3)^2\\\\
KF^2=225+75\\\\
KF^2=300\\\\
KF=10\sqrt3\\\\$$

$$\\Perimeter = 5\sqrt3+10\sqrt3+15\\\\
Perimeter = 15\sqrt3+15\;\; units\\\\$$

Sure thing mr./mrs. anonymous!

We have -2(4+3x2)+9 ÷ 3-2

I'm assuming that by the 2 after the 3x in the parantheses you means 3x², this is how I'll solve the question.

-2(4+3x²)+9 ÷ 3-2            ---Use the distributive property to distribute the -2 into 4+3x²

-8-6x²+9÷3-2          ---Divide 9 by 3, this is the next thing to do in our order of operations

-8-6x²+3-2           ---Add/subtract the numbers not containing x  

-6x² - 7

And there you go!

5.) Is x > 4 a solution for the inequality?

No.

x*26 > 7²⁶

x*26 > 9,387,480,337,647,754,305,649

x > 361,056,936,063,375,165,601.9

3.) What is 374*246/2-146+25?

374*246/2-146+25

92004/2-146+25

46002-146+25

45856+25

45,881

No Snip

it is the hypotenuse that is needed so you have to use sine.

sin27=2/h

Can you take it from there Rose?  Start by turning both sides upside down 

that is 

1/sin27 = h/2

and go from there.

(I love these little pictures   )

Almost but not quite Will

$$\sqrt[5]{32y^{10}}\\\\
=\sqrt[5]{32}*\sqrt[5]{y^{10}}\\\\
=32^{1/5}}*y^{10*1/5}\\\\
=2y^2\\\\$$

An excellent answer Will, thank you.

I don't think  that is quite right snip3s

Just imagine that there are 3 baskets on each table

then there would be 3+4=7 strawberries in each basket.

On one table there would be 3(3+4)  strawberries (that is 3 baskets with 7 strawberries in each)

On 5 tables there would be 5*3(3+4) strawberries.

NOW just replace the 3baskets with b baskets

5*b(b+4) = 5b(b+4) strawberries.

tan -1 (inverse tan) is the same as atan (arc tan)

so it is just '2nd' then 'atan'   really just the same as any other calculator. 

I wasn't meaning you Chris.  I was meaning Ashton!

I love the train picture!

(2*2^(9/4))/2^(1/6)

$$\dfrac{2*2^{9/4}}{2^{1/6}}=2^{1+9/4-1/6}=2^{37/12} \\\\$$

I have never heard the term abreviated fraction before - this is an improper fraction.

And this is the graph

This is the second time I have seen this question in a very short period of time!

Hi goldenLeaf,

Questions like this need explanation.  They can get the answer out of the back of the book.

Find 2r2 + 3s3 - r2 + 4t2 - r2 if r = -2, s = -3, and t = 5.

$$2*(-2)^2+3*(-3)^3-(-2)^2+4*(5)^2-(-2)^2\\\\
=2*4+3*-27-4+4*25-4\\\\
=8-81-4+100-4\\\\
=19$$

Hi  Snip3s 

I just want to talk about your soln for a moment.

if your solving to combine the two equations into one you would write them on top of each other like this

8x+y=-16

-3x+y=-5    (you fogot the minus sign)

then you would combine like terms straight down to get

5x+2y=-11   NO THIS HAS NOT WORKED

You have started with the right idea but you line them up like this so that you can ELIMINATE one of the letters.

If you subtracted instead of adding you would have  8x--3x+y-y=-16--5 which becomes 11x=-11

x=-1   etc

Good one ninja!

okay so

f(-5)=1

f(-25) could be an infinite number of different things,    I think you would have to know what the function is. 

I am not totally sure if this is correct.  mmm???

Wow  Melody !you have brilliantly explained the answer!I and DS just gave the answer by directly solving the prolem mentally but u explained it so nicely!

that really good!

Look Melody so many claps for you!

and along with these claps a thumbs up from me for your brilliant answer!

and I'm assuming you mean 2.4m³ = Xcm³

this means that my learned coleage was very close but not quite right.

there's still only 100cm in a metre but it's cubed rather then squared

which means we're getting 100*100*100 which is 1000000cm³ in a m³

2.4*1000000 = 2400000

2.4m³ = 2400000cm³

Thats fairly strait forward, there are 1000mm in 1m so you simply devide it by 1000

486mm becomes 0.486m

some more information on it :)

http://en.wikipedia.org/wiki/Metre

I am impressed DragonSlayer, it is good that you are learning thing and 'looking things up' on the forum.

Keep it up!

I think that this is a time tunnel Rosala.  Sure looks like one.

or it could be an interdimensional worm hole perhaps.

On a map 1/8 of an inch stands for 24 miles. On this map two cities are 2.5 inches apart.

$$\\\frac{x}{2.5}=\frac{24}{1/8}\\\\
\frac{x}{2.5}=24*8\\\\
x=24*8*2.5\\\\
x=480miles$$

You have a very good point there DS