\(\frac{1,4x317+0,14x3520+33,1x14}{2+5+8+...+65-387}\)

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5 tháng 7 2017

\(BH=\frac{AB.AC}{BC}=\frac{3.4}{5}=\frac{12}{5}=2,4\)

Trung tuyến ứng với cạnh huyền bằng nửa cạnh huyền => MC = 2,5

\(S_{BMC}=\frac{1}{2}MC.BH=3\left(cm^2\right)\)

\(AH=\frac{AB^2}{AC}=\frac{9}{5}=1,8\left(cm\right)\)

\(S_{ABH}=\frac{1}{2}AH.BH=2,16\left(cm^2\right)\)

BK là TPG 

\(\frac{AK}{AB}=\frac{KC}{BC}=\frac{AK+KC}{AB+BC}=\frac{5}{7}\)

\(KC=\frac{20}{7}\left(cm\right)\)

\(KM=KC-MC=\frac{20}{7}-2,5=\frac{5}{14}\)

\(S_{BKM}=\frac{1}{2}BH.KM=\frac{3}{7}\)

\(S_{BHK}=S_{ABC}-S_{BKM}-S_{BMC}-S_{BHA}=\frac{72}{175}\)

1 tháng 7 2015

\(0,2\times317\times7+0,14\times3520+33,1\times14=0,14\times317+0,14\times3520+33,1\times14\)

Tương đương với: \(14\times3,17+14\times35,20+33,1\times14=14\times\left(3,17+35,20+33,1\right)=14\times71,44\)

=1000,16

2+5+8+...+65 = \(\frac{\left(65-2\right):3+1}{2}.\left(65+2\right)=11.67=737\)

=> 2+5+8+...+65 - 387 = 737 - 387 = 350

Vậy kết quả là \(\frac{1000,16}{350}=2,8576\)

1 tháng 7 2015

\(\frac{0,2x317x7+0,14x3520+33,1x14}{2+5+8+...+65-387}=\frac{1}{100}\cdot\frac{20.317.7+14\cdot3520+3310\cdot14}{2+5+8+...+65-387}\)

Ta có:2+5+8+...+65 có (65-2):3+1=22(số hạng)

=>2+5+...+65=(2+65).22:2=737

=>\(\frac{1}{100}\cdot\frac{20.317.7+14\cdot3520+3310\cdot14}{2+5+8+...+65-387}=\frac{1}{100}\cdot\frac{14.3170+14.3520+14.3310}{737-387}=\frac{1}{100}\cdot\frac{14.\left(3170++3520+3310\right)}{350}\)\(=\frac{1}{100}\cdot\frac{14.10000}{350}=\frac{14.100}{350}=\frac{7.2.10.2.5}{10.5.7}=2.2=4\)

21 tháng 4 2016

0,2x317x7+ 0,14x3520+ 33,1x 14= 1,4x 317+ 1,4x352+ 331x1,4= 1,4 (317+352+331)= 1,4 x1000= 1400

13 tháng 9 2017

a,(11/15+4/15)+(5/7+2/7)

=1+1

=2

b,5/9x(1/2+6/4)

=5/9x2

=10/9

c,1/2:(7/8+9/8)

=1/2:2

=1

d,(17/10-7/10)+1/2

=1+1/2

=3/2

6 tháng 8 2016

\(a,\left(16.23+16.77\right)-\left(5.30-5.20\right)\)

\(=16.\left(23+77\right)-5.\left(30-20\right)\)

\(=16.100-5.10\)

\(=1600-50\)

\(=1550\)

\(b,8\frac{1}{2}\div\frac{17}{5}+\frac{6}{8}\div3\frac{2}{3}\)

\(=\frac{17}{2}.\frac{5}{17}+\frac{3}{4}\div\frac{11}{3}\)

\(=\frac{17}{2}.\frac{5}{17}+\frac{3}{4}.\frac{3}{11}\)

\(=\frac{5}{2}+\frac{9}{44}\)

\(=\frac{110}{44}+\frac{9}{44}\)

\(=\frac{119}{44}\)

6 tháng 8 2016

\(a,=16.100-5.10=1600-50=1550\)

\(b,8\frac{1}{2}:\frac{17}{5}+\frac{6}{8}:3\frac{2}{3}=\frac{17}{2}.\frac{5}{17}+\frac{6}{8}:\frac{11}{3}=\frac{5}{2}+\frac{18}{88}=\frac{220}{88}+\frac{18}{88}=\frac{238}{88}=2\frac{31}{44}\)

13 tháng 9 2017

a) \(\frac{11}{15}+\frac{5}{7}+\frac{2}{7}+\frac{4}{15}=\left(\frac{11}{15}+\frac{4}{15}\right)+\left(\frac{5}{7}+\frac{2}{7}\right)\)

\(=2\)

b) \(\frac{5}{9}\times\frac{1}{2}\times\frac{5}{9}\times\frac{6}{4}=\frac{25}{81}\times\frac{3}{4}=\frac{25}{108}\)

c) \(\frac{7}{8}\div\frac{1}{2}+\frac{9}{8}\div\frac{1}{2}=\left(\frac{7}{8}+\frac{9}{8}\right)\div\frac{1}{2}\)

\(=2\div\frac{1}{2}=4\)

d) \(\frac{17}{10}+\frac{1}{2}-\frac{7}{10}=\left(\frac{17}{10}-\frac{7}{10}\right)+\frac{1}{2}\)

\(=1+\frac{1}{2}=\frac{3}{2}\)

13 tháng 9 2017

a) \(\frac{11}{15}+\frac{5}{7}+\frac{2}{7}+\frac{4}{15}\)

\(=\left(\frac{11}{15}+\frac{4}{15}\right)+\left(\frac{5}{7}+\frac{2}{7}\right)\)

\(=1+1\)

\(=2\)

b) \(\frac{5}{9}.\frac{1}{2}.\frac{5}{9}.\frac{6}{4}\)

\(=\left(\frac{5}{9}\right)^2\left(\frac{1}{2}.\frac{6}{4}\right)\)

\(=\frac{25}{81}.\frac{3}{4}\)

\(=\frac{25}{108}\)

c) \(\frac{7}{8}:\frac{1}{2}+\frac{9}{8}:\frac{1}{2}\)

\(=\frac{7}{8}.2+\frac{9}{8}.2\)

\(=2\left(\frac{7}{8}+\frac{9}{8}\right)\)

\(=2.\frac{16}{8}\)

\(=2.2\)

\(=4\)

d) \(\frac{17}{10}+\frac{1}{2}-\frac{7}{10}\)

\(=\left(\frac{17}{10}-\frac{7}{10}\right)+\frac{1}{2}\)

\(=1+\frac{1}{2}\)

\(=\frac{2}{2}+\frac{1}{2}\)

\(=\frac{3}{2}\)

13 tháng 9 2017

a ) (11/15+4/15 ) + ( 5/7 +2 /7 )

=1+1

= 2

b)5/9 x ( 1/ 2 + 6/ 4 )

= 5/9 x 2

=10/9 

c) 17/10-5/10-7/10

=(17-5-7) / 10

= 5/10