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deleted.   

First draw a pic

2) find (theta)         Use cosine rule         

3) 2 times the area of the triangle.     

Bingo.

Here is a good start.

From your desctiption there are 2 possible point T's 

See if you can work out what i have done and finish it for yourself.

Maria has three identical apples and three identical oranges. How many ways are there for her to distribute the fruits among her four friends if she doesn't give Jacky any oranges? (Note: Maria takes none of the fruit herself, and some of her friends might not receive any fruit at all.)

I have used what is called the 'Stars and Bars' method.

I get 200 ways

put the 3 apples in a row, they are the stars.  Use bars to divide them into 4 piles, you will need 3 bars

So you have 3 apples and 3 bars so there are  6C3 places to put the bars = 20 possible ways to distribute the apples

now put the 3 oranges in a row (the new stars) Us bars to divide them into  3 piles, you will need 2 bars.

So you have 5C2 = 10 ways to distribute them

20*10 = 200 ways

At present you have 2 litres of salt in 8 litres of water   which is 2/10 = 0.2 = 20% saline

I want to know how much water I need with 2 litres of salt to get  5% salinity

Let the TOTAL amount of solution be x litres

2/x = 0.05

2/0.05 = x

x=40 litres

But 2  we already have 10 litres of that so we need to add 30L of water.

check

2/40 = 0.05 = 5%

You might find that someone can explain this more simply than me.

7^0=   01

7^1=   07

7^2=   49

7^3= _43

7^4= _01

7^5= _07

7^6= _ 49

7^7= _43

7^8= _01

etc

Now we have the pattern   07,49,43,01, .........

2011/4 has remainder 3      so it will end in 43

So far they have played 80% and won 40% of those that is 0.8*0.4 = 32% won so far

32% + 20% of x% = 50%

0.32 +  0.2*0.01x = 0.5

0.002x = 0.5-0.32

0.002x = 0.18

x= 180/2 = 90

So we must win 90% of the remaining games.

4ac2 10d2x2 5x 12a2c2

Do you mean

4ac^2 *10d^2x^2 * 5x * 12a^2c^2    ?

You need to learn to use the hat ^ symbol for powers.

which is

\(4ac^2 *10d^2x^2 * 5x * 12a^2c^2\\~\\ =4*10*5*12 * a^1\;c^2\; d^2\;x^2\; x \;a^2\;c^2\\~\\ =4*10*5*12 * a^3\;c^4\; d^2\;x^3\\~\\ =2400\; a^3\;c^4\; d^2\;x^3\\~\\ \)

[ABCD] = 4620 cm²

https://web2.0calc.com/questions/geometry-help-asap-pls_1#r2

There's an error in this question!!!! 

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let X, Y, and Z be points such that XZ/XY = ZY/XY = 1/2. If Y = (1, 7), Z = (-7, -9), then what is the sum of the coordinates of X?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Coordinates =>   X (-15, -25)

Sum of coordinates = -40

civonamzuk 

\(x^2+y^2 - 6 = 6x + 2 y\\ (x^2-6x)+(y^2-2y)=6\\ (x^2-6x+9)+(y^2-2y+1)=6+10\\ (x-3)^2+(y-1)^2=4^2 \)

the radius is 4 units

https://web2.0calc.com/questions/geometry-help-asap-pls_1#r2

This question has already been answered this morning.

In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red?

The fraction is 4/11     (See diagram))

Thank you too for the explanation! <3

I'm grateful!

Thank you so much for the explanation! 

sadly, a lot of people don't explain the answers they give. Mad respect!

This really does help. 

Similar triangles are tricky, especially with remembering which angles correspond to which angles. 

I always get them confused so when you do have the time, it's very nice to draw out the triangle so that they face the same way. 

=^._.^=

It is a very fun hobby. 

I quite like working on my math skills and hopefully helping others improve too. 

=^._.^=

You are the one who did the nice work Catmg.  

Yes school is busy, so is life for younger people.

Most of the people who are here a lot, to answer questions I mean, are retired.

It can continue to be a nice hobby for you though :))

I find it quite difficult to get my head around geometry questions such as this.

So I will give you some insight as to how I go about it.

I drew the diagram and shade the smaller one.

then I said the smallest side of the big triangle is AC which corresponds to the smallest side of the small diagram AD

then I said the biggest side of the big triangle is AB which corresponds to the biggest side of the small diagram AC

Now I draw the corresponding triangles like this:

And then I take it from there.

I suppose it is too slow long term but while you are getting the hang of it it can help.

Nice. :))

I really miss going on this forum more often. 

Sadly, school is quite busy.

=^._.^=

Hello CCeed :))

Let angle B = x

angle A = 48

angle C = 132 - x

Since ABC ~ ACD

angle B = angle ACD = x

angle C = angle CDA = 132 - x

Since BC = BD

BCD = BDC

BCD + BDC + B = 180 degrees

BDC + BDC + x = 180 degrees

BDC = (180-x)/2

CDA  + CDB = 180

132 - x + (180-x)/2 = 180

x = 28

I hope this helped. :))

=^._.^=

I get 28 degrees.  (which I have not checked)

Let's see what catmg comes up with.