All Answers 358501 Answers

what is 5% of £90,

5% means: 5/100=.05, and so just multiply: .05 x 90=4.50 pounds.

I think you probably want to find z rather than z²   ....so we have....

111 = z² + 11    subtract11 from both sides

100 = z²      take the pos/neg square roots of each side

z = 10   or   z = -10

You're correct Guest.....I did everything wrong....LOL!!!....let me try again!!!

Using  [the  correct !!!] Law of Cosines to find b, we have

b^2 = 8^2 + 5^2 - 2(8)(5)cos(40)

b =  sqrt [8^2 + 5^2 - 40cos(40)]  = about 5.26

So we have

SinA / a = SinB/ b 

SinA / 8  = sin(40) / 5.26

SinA  = 8*sin(40)/5.26

And using the Sine inverse, we have

Sin-1 [8* sin (40) / 5.26 ]  = A = about 78.37°

[Thanks, Guest for spotting my stupid mistakes  !!!  ]

Here's the 5th one

The volume of the trough  is given by (1/2)(40 * 100) (30)  =  60,000 cm^3

And there are 1000cm^3 in one liter

So....when the trough contains 24L of water  we have a volume of 24,000 cm^3

Now.....abritrarily assuming that the 40cm side is the width of the trough at the top and the 100cm side is the length, we can use similar triangles to show that, at any water height, the height of the water = 3/4 of the base of a cross-sectional triangle at that height

So we have

24000 = (1/2)b(3/4b)(100)

24000 = b^2(37.5)  divide both sides by 37.5

24000/37.5  = b^2      take the square root of each side

sqrt(640) = b

So the height of the water when the trough contains 24000L of water = (3/4)b =  (3/4)sqrt(640) cm  = about  18.97 cm

BTW.....the answer would be the same if we had assumed that the 100cm side was the width of the trough and the 40 cm side was the length.......!!!!

Here's the 4th one

If the hexagon is 4cm on a side......the total area of the hexagon is

6(1/2)(4)(4)sin(60)   = 48sqrt(3)/2 =  24sqrt(3) cm^2

And this forms the base of the prism and we have two of them....so that area of the bases =

48sqrt(3) cm^2 

And the area of the sides  = 6 (4cm)(6cm)=  144 cm^2

So...the total  surface area  = [ 48sqrt(3) + 144] cm^2 = about 227.14 cm "2

Dragonlance, thank you for your participation and tell us your amazing life story! But unlike you, I seek knowledge not science fiction.

Simply, I couldn't understand the vaule of 0, how's nothing represent anything?

(?) = Question mark.

For the third one, we can use the fact that the surface area of a right prism =

2*area of the base  +  Perimeter of the base * height

The area of the base = (3 cm) (6 cm) = 18 cm^2

The perimeter of the base = 2(3 + 6)  = 18 cm

So   we have

162 cm^2 = 2(18 cm^2)  + (18 cm)*h   [without the units, we have]  

162 = 36 + 18*h     subtract 36  from  each side

126 = 18*h    divide both sides by 18

height = 7 cm

25

Have you studied your "Multiplication Table?". If you look there, you will find the answer.

For the second one....the vloume is given by :   the area of the base * height

And the area of the base is given by  (5)(8)sin(60)  = 40sqrt(3)/2 =  20sqrt(3) cm^2

So the volume is

(20sqrt(3) cm^2) * (12 cm) = 240*sqrt(3) cm^3  = about 415.7 cm^3

how many precent from 360 is 40,

If you mean "what percentage of 360 is 40", then we proceed like this:

40/360=.1111. and to turn it into percentage, we just multiply it by 100,

So .1111 x 100=11.11%. So,40 is 11.11% of 360. And that's your answer if I understood you right.

The first one is a little confusing....you say it's a prism, yet, the lateral edge makes an angle of 30° with the base.......but.....in a prism, the lateral edge is perpendicular to the base.....thus you may have a pyramid, instead.......

If it's a prism....we can find the remaining side (leg)  thusly

sqrt(65^2 - 16^2 )   = 63

And we can use Heron's formula to help us find the area of the base.... where s = (65 + 63 + 16) / 2 = 72  and a, b and c are sides of the triangle

And the base area  = sqrt[s (s-a)(s-b)(s-c)]   ...so we have

sqrt [ 72 * (72 - 65) * (72 - 63) * (72 -16) ]  =  sqrt[ 72* 7 * 9 * 56] = 504cm^2

And the volume [ if it's a prism] is given by

V = base area * height    =   (504cm^2) (10cm) = 5040 cm^2

If it's a pyramid....we can use the following formula  to find the volume:

V = (1/3) base area  * height    and the height is given by 10*sin(30)  = 10(1/2)  = 5cm

So

V = (1/3) (504 cm^2)(5cm)  = 840 cm^3

Start with the Parenthasis first then when thats solved go on to the division

Sorry Chris.I think you are doing soemthing wrong

first of all,one of the law of cosine is 

\(b^2=a^2+c^2-2ac*cosB\)

not

\(b^2=a^2+c^2-2ac*sinB\)

and this not a SSA situtiation.note that the given is side a,side c and angle B

So this a SAS situation.

It is 144

what does the variable stand for in the equation 52=4z

Well, we just solve z to find out!

So, 52=4z, we divide both sides by 4 and we get:

z=52/4

z=13. And that's what z stands for in this problem.

how do you simplify an expression with a division sign outside of parenthesis, like 18/(5+2^2) ????

Well, you start inside the bracket and do 2^2 first and you get 4,

18/(5+4). Again you work out the numbers in the bracket to the right and you get 9. So, it becomes 18/9=2, which is your answer.

^{..............}

I guess I see why you expect that. It's because there are so many aliens from outer space that come on this forum to give ideas better than any human. They have 16 fingers so they think in hexadecimal.

Maybe you should stop using whatever is messing up your brain. I smoke pot a couple of times because some told me it would open my mind. They were right. It open my mind to stupid and dumb. I have a recording on my phone of my brilliant ideas I told to the hogs while I was slopping them. One of the hogs told me to shut up and just feed them.  I listen to it sometimes to remind me my ideas were way better when I was in kindergarten than now if I am stoned.  Even the hogs know that and I figure It out too..

Anyway if you want to know about zero then ask CPhill. He been searching for the Roman zero for a long time. One day he probably find it too. Even if he not know where it is he do know where it is not.

Have a look at the graph here [I've substituted "y" for "P"....but it's the same idea] .....[note that we want P to just equal 6, not 600.....it's in hundreds ]

https://www.desmos.com/calculator/khtbnpjmhk

Notice that the poulation is greater than 6 from about .697months to about 2.303 months...or about 1.6 months....and the same time period occurs again from about 6.697 months to about 8.303 months

So....the total time that the population is greater than 6 is about 2(1.6)  = about 3.2 months

sqrt (65^2 - 16^2) = 63 cm = the base length

Here's something else that might help :  http://www.purplemath.com/modules/exponent3.htm

Nevermind, I thought I will get some answers that beyond the limits of man innovations, and his fingers! Again, my question revolves around zero.

19-[6-(28-41)],

19-[6-(-13)]

19-(6+13)

19 -19=0

Just type these two places in Google(or other) Search engines:

1- Cool Math for Kids-How to do Long Division.

2-Long Division-Math is Fun.

And good luck to you.