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If you know the lengths of two sides of a triangle (a  and  b) and the size of the included angle(C),

you can find the area by using the formula:  Area  =  ½·a·b·sin(C).

Area  =  ½·12·12·sin(150)  =  36

Step 1:  find the equation of the line that passes through the points (-1,7) and (3,-12):

   1)  Find the slope of the line:

           slope  =  (y₂ - y₁) / (x₂ - x₁)  =  (-12 - 7) / (3 - -1)  =  -19 / 4

   2)  Use the point-slope form to find the equation:

           y - y₁ =  m(x - x)     --->     y - 7  =  -19/4(x - -1)

                                                     y - 7  =  -19/4(x + 1)

                                                          y  =  -19/4x -19/4 + 7

                                                          y  =  -19/4x + 9/4

Step 2:  Replace the x-value in that equation with -6 and solve:

   y  =  -19/4(-6) + 9/4

   y  =  30.75

, 18*sqrt(8) + 8 * sqrt(18) =

   18 * 2 * sqrt 2   + 8 * 3 * sqrt 2

     = 60 sqrt 2 = sqrt (7200)

 Find the numbers.

Hello Guest!

\(3x+y=51\\ \underline{y=5x+2}\\ 3x+5x+2=51\\ 8x=49\\ \color{blue}x=6.125\\ \color{blue}y=32.625\)

  !

sum(20002, 20102, 20202, 20302, 20402, 20502, 20602, 20702, 20802, 20902, 21012, 21112, 21212, 21312, 21412, 21512, 21612, 21712, 21812, 21912, 22022, 22122, 22222, 22322, 22422, 22522, 22622, 22722, 22822, 22922, 23032, 23132, 23232, 23332, 23432, 23532, 23632, 23732, 23832, 23932, 24042, 24142, 24242, 24342, 24442, 24542, 24642, 24742, 24842, 24942, 25052, 25152, 25252, 25352, 25452, 25552, 25652, 25752, 25852, 25952, 26062, 26162, 26262, 26362, 26462, 26562, 26662, 26762, 26862, 26962, 27072, 27172, 27272, 27372, 27472, 27572, 27672, 27772, 27872, 27972, 28082, 28182, 28282, 28382, 28482, 28582, 28682, 28782, 28882, 28982, 29092, 29192, 29292, 29392, 29492, 29592, 29692, 29792, 29892, 29992, 40004, 40104, 40204, 40304, 40404, 40504, 40604, 40704, 40804, 40904, 41014, 41114, 41214, 41314, 41414, 41514, 41614, 41714, 41814, 41914, 42024, 42124, 42224, 42324, 42424, 42524, 42624, 42724, 42824, 42924, 43034, 43134, 43234, 43334, 43434, 43534, 43634, 43734, 43834, 43934, 44044, 44144, 44244, 44344, 44444, 44544, 44644, 44744, 44844, 44944, 45054, 45154, 45254, 45354, 45454, 45554, 45654, 45754, 45854, 45954, 46064, 46164, 46264, 46364, 46464, 46564, 46664, 46764, 46864, 46964, 47074, 47174, 47274, 47374, 47474, 47574, 47674, 47774, 47874, 47974, 48084, 48184, 48284, 48384, 48484, 48584, 48684, 48784, 48884, 48984, 49094, 49194, 49294, 49394, 49494, 49594, 49694, 49794, 49894, 49994, 60006, 60106, 60206, 60306, 60406, 60506, 60606, 60706, 60806, 60906, 61016, 61116, 61216, 61316, 61416, 61516, 61616, 61716, 61816, 61916, 62026, 62126, 62226, 62326, 62426, 62526, 62626, 62726, 62826, 62926, 63036, 63136, 63236, 63336, 63436, 63536, 63636, 63736, 63836, 63936, 64046, 64146, 64246, 64346, 64446, 64546, 64646, 64746, 64846, 64946, 65056, 65156, 65256, 65356, 65456, 65556, 65656, 65756, 65856, 65956, 66066, 66166, 66266, 66366, 66466, 66566, 66666, 66766, 66866, 66966, 67076, 67176, 67276, 67376, 67476, 67576, 67676, 67776, 67876, 67976, 68086, 68186, 68286, 68386, 68486, 68586, 68686, 68786, 68886, 68986, 69096, 69196, 69296, 69396, 69496, 69596, 69696, 69796, 69896, 69996, 80008, 80108, 80208, 80308, 80408, 80508, 80608, 80708, 80808, 80908, 81018, 81118, 81218, 81318, 81418, 81518, 81618, 81718, 81818, 81918, 82028, 82128, 82228, 82328, 82428, 82528, 82628, 82728, 82828, 82928, 83038, 83138, 83238, 83338, 83438, 83538, 83638, 83738, 83838, 83938, 84048, 84148, 84248, 84348, 84448, 84548, 84648, 84748, 84848, 84948, 85058, 85158, 85258, 85358, 85458, 85558, 85658, 85758, 85858, 85958, 86068, 86168, 86268, 86368, 86468, 86568, 86668, 86768, 86868, 86968, 87078, 87178, 87278, 87378, 87478, 87578, 87678, 87778, 87878, 87978, 88088, 88188, 88288, 88388, 88488, 88588, 88688, 88788, 88888, 88988, 89098, 89198, 89298, 89398, 89498, 89598, 89698, 89798, 89898, 89998) >>Total No.==400 >>Total Sum ==22,000,000

101^99 mod 10^10 ==4,497,519,901 - these are the last 10 digits.

 (4, 0, 0, 8, 8), (4, 0, 8, 0, 8), (4, 0, 8, 8, 0), (4, 8, 0, 0, 8), (4, 8, 0, 8, 0), (4, 8, 8, 0, 0), (8, 0, 0, 4, 8), (8, 0, 0, 8, 4), (8, 0, 4, 0, 8), (8, 0, 4, 8, 0), (8, 0, 8, 0, 4), (8, 0, 8, 4, 0), (8, 4, 0, 0, 8), (8, 4, 0, 8, 0), (8, 4, 8, 0, 0), (8, 8, 0, 0, 4), (8, 8, 0, 4, 0), (8, 8, 4, 0, 0)   >Total distinct permutations = 18

A   'thanks you '  would have been nice.

Thanks from me Al..foil      

\(1.\overline{234}= 1\frac{234}{999}=1\frac{26}{111}=\frac{111+26}{111}=\frac{137}{111}\)

Just like you already said  

1+1+3+9+8+5 = 27

there are 27 scores

the middle score will be (27+1)/2 = 14th

The 14th score is 78

So the median score is 78

There are 4 scores of 86,   This is the score that occurs most often.  So  Mode=86

The mean is the hardest one to get.  You have to add up all the scores

41+52+67+68+ .....etc.... =

then divide the the answer by 27

You are very welcome :)

w = - 4¹/₃

x = - 11¹/₃

y = 13²/₃

z = 19²/₃

xz + yz = 45⁸/₉

Calculate the surface area of the rectangular coffin bed.
Surface area = 2(LW + WH + HL)

Surface area = 2(84 * 28 + 28 * 23 + 23 * 84)

Surface area = 9856 in²

Let x inch be the length of cloth required. So, the surface area of the cloth is given by,

Surface area of cloth = (Length)(Width)

Surface area of cloth = (x)(60)

Surface area of cloth = 60x in²

Now,

Surface area of Cloth = Surface area of Coffin

60x = 9856

x = 9856/60 in

x = 164.2667

x = 164.2667 in * (1 foot/12 in)

x = 13.69 ft 

Thus, 13.69 feet of cloth is required to cover the coffin bed from inside.

I don't think that you have copied this question in full Jenny.

44 minutes or 11:16am

Step-by-step explanation:

you need to convert everything into minutes

12 noon = 12×60=720 minutes

9am=9×60=540 minutes

let x= number of minutes before noon

the time now is 12noon -x =720-x minutes

48 minutes ago it was 720-x-48 minutes

720-x-48=540+2x

720-48-540=2x+x

132=3x

x=132/3

x=44 minutes

x=44minutes or 11:16 am

HOPE IT HELPS U!!!

It is 8 minutes before noon.

The answer is 153.

The last three digits are 119.

$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = 13$

The largest k is 16.

 A=abs((30*6) - (5.5*50)), solve for A

A==95 degrees - which is NOT an acute angle !!

The answer is 2/7.

The ratio is 11/3.

The only possible value of p is 12.