NÅGRA KOMMENTARARER TILL LÖSNINGARNA
NÅGRA KOMMENTARARER TILL LÖSNINGARNA NÅGRA KOMMENTARARER TILL LÖSNINGARNA
2110a 10 + 20 30 30 2110b − 10 + 20 10 10 2111a Antag att det tar x timmar −2−3⋅ x =−14 −2− 3x=−14 − 3x=− 14+ 2 − 3x=−12 −12 x = −3 x = 4 4 h 2112a ( 2700 − 700) T = 8−6⋅ 1000 T =−4C Svar Det snöar 2123a 8 4 ⋅ 2 2 = = 12 4 ⋅3 3 812 ⎦ 2123e 24 8 ⋅3 3 = = 32 8 ⋅ 4 4 24⎦32 2124a 2 2⋅3 6 = = 7 7⋅3 21 Höjdökningen i m Höjdökningen i km LÖSNINGAR DEL B 2110c 10 + −20 10 − 20 −10 −10 ( ) 2110d − 10 + −20 −10 −20 −30 −30 ( ) 2111b Antag att det tar x timmar 5−3⋅ x =−10 5− 3x=−10 − 3x=−10−5 − 3x=−15 −15 x = −3 x = 5 5 h 2112b 2123b 21 7 ⋅3 3 = = 35 7 ⋅5 5 21⎦35 ( 1500 − 5500) T =−22 −6⋅ 1000 T = 2C Svar Det regnar 2123 f 33 11 ⋅3 3 = = 44 11 ⋅ 4 4 33⎦44 2124b 7 7⋅3 21 = = 9 9⋅3 27 Höjdökningen i m Höjdökningen i km 2123c 18 6 ⋅3 3 = = 30 6 ⋅5 5 18⎦30 2123g 24 12 ⋅ 2 2 = = 36 12 ⋅3 3 24⎦36 2124c 1 1⋅3 3 = = 5 5⋅3 15 2123d 360 90 ⋅ 4 4 = = 450 90 ⋅5 5 360⎦450 2123h 45 15 ⋅3 3 = = 60 15 ⋅ 4 4 45⎦60 2124d 7 7⋅3 21 = = 13 13⋅ 3 39 21
2125a 3 310 ⋅ 30 = = 4 410 ⋅ 40 2126a 5 11 7 + − 18 18 18 5+ 11−7 18 9 9 ⋅1 1 = = 18 9 ⋅ 2 2 518 ⎦ + 1118 ⎦ −718 ⎦ 2126d 1 1 1 − + 2 3 4 16 ⋅ 14 ⋅ 13 ⋅ − + 26 ⋅ 34 ⋅ 43 ⋅ 6 4 3 − + 12 12 12 6− 4+ 3 12 5 12 12 ⎦ −13 ⎦ + 14 ⎦ mgn = 12 2127a 2 4 2⋅4 8 ⋅ = = 9 5 9⋅5 45 29 ⎦ ∗45 ⎦ 2127d 1 7 1 4 4 = ⋅ = 3 7 3 21 4 17/34 ⎦ ⎦ 2125b LÖSNINGAR DEL B 1 15 ⋅ 5 = = 8 85 ⋅ 40 2125c 2126b 19 23 5 − + 27 27 27 19 − 23 + 5 27 1 27 19⎦27 −23⎦ 27 + 5⎦27 2126e 1 2 2 − + mgn = 30 6 5 15 15 ⋅ 26 ⋅ 22 ⋅ − + 65 ⋅ 56 ⋅ 152 ⋅ 5 12 4 − + 30 30 30 5− 12+ 4 30 − 3 3 ⋅1 1 =− = − 30 3 ⋅10 10 16 ⎦ −25 ⎦ + 215 ⎦ 2127b 2 9 2 5 2⋅5 10 = ⋅ = = 3 9 3 9⋅3 27 5 29/35 ⎦ ⎦ 2127e 5 8 40 ⋅ = 11 9 99 511 ⎦ ∗89 ⎦ 2 28 ⋅ 16 = = 5 58 ⋅ 40 2125d 2126c 3 1 1 + − 4 8 2 32 ⋅ 1 14 ⋅ + − 42 ⋅ 8 24 ⋅ 6 1 4 + − 8 8 8 6+ 1− 4 3 = 8 8 34 ⎦ + 18 ⎦ −12 ⎦ 7 7⋅4 28 = = 10 10⋅ 4 40 mgn = 8 2126 f 1 1 1 + − mgn = 60 3 4 5 120 ⋅ 115 ⋅ 112 ⋅ + − 320 ⋅ 415 ⋅ 512 ⋅ 20 15 12 + − 60 60 60 20 + 15 −12 60 23 60 13 ⎦ + 14 ⎦ −15 ⎦ 2127c 1 3 1 ⋅ = 3 4 4 13 ⎦ ∗34 ⎦ 2127 f 5 7 5 3 15 = ⋅ = 4 7 4 28 3 57/43 ⎦ ⎦ 22
- Page 1 and 2: NÅGRA KOMMENTARARER TILL LÖSNINGA
- Page 3 and 4: 1109a x tan 41 = 67 ( mult 67) 67
- Page 5 and 6: 1129c cos64 x = 97 ( mult 97) 97
- Page 7 and 8: 1146a Sätt sidan AB till x cm x c
- Page 9 and 10: 1149b 1150 1202 tan35 h = 43 ( mul
- Page 11 and 12: 1209a Antag att byggnadens höjd ä
- Page 13 and 14: LÖSNINGAR DEL B 1215 Antag att den
- Page 15 and 16: 1221 1222a 16 cosv = 21 −1 ⎛16
- Page 17 and 18: 1227 1228 Beräkna tringelns sidor
- Page 19 and 20: 1233 Antag att bisektrisen CD är x
- Page 21: 2102a 13 + −8 13 − 8 5 ( ) 2103
- Page 25 and 26: 2131a 2 ⎛ 1⎞ ⎛ 5 ⎛ 3 ⎞⎞
- Page 27 and 28: 2144b 3 3 4/2 − (4/2) 3 3 4/2−2
- Page 29 and 30: 2154a 3969 / -49 −81 ( ) 2155a 63
- Page 31 and 32: 2219a ( ) 2 3 10 49 + 4⋅ 125 −5
- Page 33 and 34: 2234a 1,890 2234b 0,845 LÖSNINGAR
- Page 35 and 36: 2349 Antag att grillen kostade A kr
- Page 37 and 38: 2415a x 2 = 2⋅2 x 2 = 2 ⋅2 x 2
- Page 39 and 40: 2433a 1 1 0,01 = = = 100 10⋅10 1
- Page 41 and 42: 2447a-b Antag att sidan är x m x
- Page 43 and 44: 2556a s = v⋅t (2547) meter 11 s
- Page 45 and 46: 2611a 2 x + + 4 y 2 3+ + 4 −2 3
- Page 47 and 48: 2640a A= 3b 3b= A 3b A = 3 3 A b =
- Page 49 and 50: 2671a 9 −( x − 3) = 20 9 −( x
- Page 51 and 52: 2705c 2r⋅ 4r = 8r 2 hela 2 ⋅
- Page 53 and 54: 2725a Antag att vattnet står x m h
- Page 55 and 56: 2748a 2400 12 pris per bok ⋅ 20 =
- Page 57 and 58: LÖSNINGAR DEL B 3129a Enligt randv
- Page 59 and 60: 3320d Likf ger 10 − x 9 = ( kors
- Page 61 and 62: LÖSNINGAR DEL B 3338 Antag att den
- Page 63 and 64: 3355 Antag att hypotenusan i stora
- Page 65 and 66: 4229a 2 ab( a −b) −a( ab −b)
- Page 67 and 68: 4239d 3 −( − 5m+ 8) = 36 −(1
- Page 69 and 70: 4245a A1+ A2 2 2 (2x + 20 x) + (2x
- Page 71 and 72: 4302a ( x+ 3)( x−3) 2 2 x − 3 2
2125a<br />
3 310 ⋅ 30<br />
= =<br />
4 410 ⋅ 40<br />
2126a<br />
5 11 7<br />
+ −<br />
18 18 18<br />
5+ 11−7 18<br />
9 9 ⋅1 1<br />
= =<br />
18 9 ⋅ 2 2<br />
518 ⎦ + 1118 ⎦ −718 ⎦<br />
2126d<br />
1 1 1<br />
− +<br />
2 3 4<br />
16 ⋅ 14 ⋅ 13 ⋅<br />
− +<br />
26 ⋅ 34 ⋅ 43 ⋅<br />
6 4 3<br />
− +<br />
12 12 12<br />
6− 4+ 3<br />
12<br />
5<br />
12<br />
12 ⎦ −13 ⎦ + 14 ⎦<br />
mgn = 12<br />
2127a<br />
2 4 2⋅4 8<br />
⋅ = =<br />
9 5 9⋅5 45<br />
29 ⎦ ∗45 ⎦<br />
2127d<br />
1<br />
7 1 4 4<br />
= ⋅ =<br />
3 7 3 21<br />
4<br />
17/34 ⎦ ⎦<br />
2125b<br />
LÖSNINGAR DEL B<br />
1 15 ⋅ 5<br />
= =<br />
8 85 ⋅ 40<br />
2125c<br />
2126b<br />
19 23 5<br />
− +<br />
27 27 27<br />
19 − 23 + 5<br />
27<br />
1<br />
27<br />
19⎦27 −23⎦ 27 + 5⎦27 2126e<br />
1 2 2<br />
− + mgn = 30<br />
6 5 15<br />
15 ⋅ 26 ⋅ 22 ⋅<br />
− +<br />
65 ⋅ 56 ⋅ 152 ⋅<br />
5 12 4<br />
− +<br />
30 30 30<br />
5− 12+ 4<br />
30<br />
− 3 3 ⋅1 1<br />
=− = −<br />
30 3 ⋅10<br />
10<br />
16 ⎦ −25 ⎦ + 215 ⎦<br />
2127b<br />
2<br />
9 2 5 2⋅5 10<br />
= ⋅ = =<br />
3 9 3 9⋅3 27<br />
5<br />
29/35 ⎦ ⎦<br />
2127e<br />
5 8 40<br />
⋅ =<br />
11 9 99<br />
511 ⎦ ∗89 ⎦<br />
2 28 ⋅ 16<br />
= =<br />
5 58 ⋅ 40<br />
2125d<br />
2126c<br />
3 1 1<br />
+ −<br />
4 8 2<br />
32 ⋅ 1 14 ⋅<br />
+ −<br />
42 ⋅ 8 24 ⋅<br />
6 1 4<br />
+ −<br />
8 8 8<br />
6+ 1− 4 3<br />
=<br />
8 8<br />
34 ⎦ + 18 ⎦ −12 ⎦<br />
7 7⋅4 28<br />
= =<br />
10 10⋅ 4 40<br />
mgn = 8<br />
2126<br />
f<br />
1 1 1<br />
+ − mgn = 60<br />
3 4 5<br />
120 ⋅ 115 ⋅ 112 ⋅<br />
+ −<br />
320 ⋅ 415 ⋅ 512 ⋅<br />
20 15 12<br />
+ −<br />
60 60 60<br />
20 + 15 −12<br />
60<br />
23<br />
60<br />
13 ⎦ + 14 ⎦ −15 ⎦<br />
2127c<br />
1 3 1<br />
⋅ =<br />
3 4 4<br />
13 ⎦ ∗34 ⎦<br />
2127 f<br />
5<br />
7 5 3 15<br />
= ⋅ =<br />
4 7 4 28<br />
3<br />
57/43 ⎦ ⎦<br />
22
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