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Saturday, December 21, 2013
ALJEBRA A6
If
1m
= 7; find m
10
Solution
1m
= 7
10
1
10
x
1m
= 7 x 10 zidisha kwa 10 kila upande
1
10
1m = 7 x 10
m = 70
Hivyo m = 70
MZINGO WA NUSU DUARA A2
Tafuta mzingo wa nusu duara ifuatayo
Suluhu
Mzingo =
∏
D
+ D
2
Mzingo =(
11
22
X
90
630
) + 630
1
7
1
2
= (11 x 90 ) + 630
= 990 + 630
= 1620
Hivyo mzingo ni mm 1620
UWIANO A4
Ikiwa 2:9 = 12:E; Tafuta thamani ya E.
Suluhu
2
=
12
9 E
2xE = 9x12
2E = 108
2E
=
108
2 2
E = 54
Hivyo thamani ya E ni 54
ALJEBRA A5
Ikiwa 3w = 26; tafuta thamani ya w
Solution
3w = 26
3w
=
26
[gawanya kwa 3 kila upande]
3 3
w = 8
2
/3
Hivyo w = 8
2
/3
Monday, December 16, 2013
ALJEBRA A4
Ikiwa 10y = 60; tafuta thamani ya y.
Solution
10y = 60
10y
=
60
[Gawanya kwa 10 kila upande.]
10 10
y = 6
Hivyo y = 6
MZINGO A3
Tafuta mzingo wa mraba ufuatao
Solution
Mzingo = 4 x upande
= 4 x 30
= 120
Hivyo mzingo ni sm 120.
NYUZI A7
Tafuta B katika umbo lifuatalo.
suluhu
Hili ni umbo aina ya pentagon. Jumla ya nyuzi katika pentagon ni 540.
Pembe zote ziko sawa.
6B + 6B + 6B + 6B + 6B = 540
0
30B
=
540
0
30 30
B = 18
0
Hivyo B is 18
0
Tuesday, December 10, 2013
MZINGO A2
Mzingo wa pembetatu ifuatayo ni m 80. Tafuta thamani ya e.
Suluhu
Mzingo = Jumla ya pande zote.
80 = 2e + 20 + 13
80 = 2e + 33
80 - 33 = 2e + 33 – 33
47 = 2e + 0
47 = 2e
47
=
2e
2 2
23.5 = e
Hivyo e = 23.5
UJAZO A2
Tafuta ujazo wa mche mstatili ufuatao.
Suluhu
Ujazo = urefu x upana x kimo
Ujazo = 20 x 7 x 5
Ujazo = 140 x 5
Ujazo = 700
Kwa hiyo ujazo ni sm
3
700
NYUZI A2
Tafuta thamani ya a katika umbo lifuatalo
Suluhu
3a + 48 = 180
3a + 48-48 = 180 - 48 [toa 48 kila upande]
3a + 0 = 132
3a = 132
3a
=
132
3 3
a= 44
Kwa hiyo a = 44
ALJEBRA A3
Ikiwa 4u + 8 = 28; tafuta thamani ya u.
Suluhu
4u + 8 = 28
4u + 8-8 = 28-8 toa 8 kila upande
4u + 0 = 20
4u = 20
4u
=
20
4 4
u= 5
Kwa hiyo u = 5
Monday, December 9, 2013
UMRI A2
Umri wa Kaisari ni mara nne ya ule wa Maneno. Ikiwa jumla ya umri wao ni miaka 70, Tafuta umri wa wote.
Suluhu
Kaisari = t
Maneno = 4t
Kaisari
Maneno
Jumla
t
4t
70
t+4t = 70
5t = 70
5t
=
70
5 5
t = 14
Umri wa Kaisari = t
= 14
Umri wa Maneno = 4t
= 4 x 14
= 56
Hivyo umri wa
Kaisari
ni miaka 14 na ule wa
Maneno
ni miaka 56
ALJEBRA A2
R - 8 = 2. Tafuta thamani ya R.
Suluhu
R - 8 = 2
R – 8 + 8 = 2 + 8
R – 0 = 10
R = 10
Hivyo R = 10
Saturday, December 7, 2013
ENEO LA MSAMBAMBA A2
Eneo la msambamba ufuatao ni mm
2
6.5. Ikiwa kitako chake ni mm13, tafuta kimo chake.
Suluhu
Eneo = kitako x kimo
6.5 = 13 x a
6.5 = 13a
6.5
=
13a
13 13
a =
6.5
13
a =
6.5
x
10
13 10
a =
65
0
130
a =
65
130
a = 0.5
Hivyo kimo chake ni mm 0.5
UWIANO A3
Ikiwa(2a+3) : 1 = 2a: 4 ; Tafuta thamani ya a.
Suluhu
2a+3
=
2a
tunafanya cross multiply.
1 4
1 x 2a = 4 x (2a+3)
2a = 8a + 12
2a – 8a = 12
-6a = 12
-6a
=
12
-6 -6
a = -2
Hivyo thamani ya a ni -2
Friday, December 6, 2013
UWIANO A2
Ikiwa 2:7 = 10:W; Tafuta thamani ya W.
Suluhu
2
=
10
7 W
2 x W = 7 x 10
2W = 70
2W
=
70
2 2
W = 35
Hivyo thamani ya W ni 35
NYUZI A2
Tafuta thamaniya e katika umbo lifuatalo
Suluhu
Jumla ya nyuzi za pembetatu ni 180
0
e+60
0
+65
0
= 180
0
e+125
0
= 180
0
e+125
0
-125
0
= 180
0
- 125
0
e = 180
0
- 125
0
e = 55
0
Hivyo thamani ya e ni 55
0
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