Transcript GRAAD 9 NOVEMBER 2016 Vraestel 2 Memorandum Vraag

GRAAD 9 NOVEMBER 2016
Vraestel 2
Memorandum
Vraag 1
1.1.1 = 2,5– 0,650 = 1,85
1.1.2 =
,.
= 1,27
1.1.3 = $
1.1.4 " ×
1.2.1
1.2.2
=
'
×
!
!
,!
"
= 1,377
= 62,5%
"
(
= 175)*+,
Vraag 2
2.1
7,5 × 4 − 4 × 7,5
= 15/
2.2
01 = 215 − 9 = 12
45*ℎ+, 70 = 2 8 12 × 99 + ;9 + 12 + 15< × 3
= 108 + 108
= 216/
2.3
=+> , = ?9 × 10
= 2544,69/
1/ = 1, > @ **ℎ+>,2544,69
2 = 2000, > ℎ+>,,++*+,,A
2.4
=+> = ?25 × 35
= 17180,58/
70 = 2; π25 < + 8 2?25 + 25 + 259 × 35
= 4106,19/
Vraag 3
3.1
3B + 20° + B − 5° = 5B − 15°
D++, *ℎ+
30° = B
3.2
⌞0 = 180° − 112° = 68°
B =
!"°
Fô − Hℎ+I0 ∥ 1K
= 34°
⌞0L1 = 34°
=,M ℎ+I0 ∥ 1K
5 = 180° − 34°
N++@,>*5
= 146°
Vraag 4
4.1
In ∆I01 ∆IK1 is:
01 = K1
I1 ⌞I10 = ⌞I1K
K> ∆I01 ≡ ∆IK1
N++@‘,>*5
, ⌞,
4.2.1 In ∆FR ∆ST is:
⌞FR = ⌞ST
D++, *ℎ+
⌞F = ⌞S
=,M ℎ+FR ∥ TS
K> ∆FR⫼ ∆ST
4.2.2
VW
YV
= XZ
XW
!
=
YV
(
FR = 6
4
9
Vraag 5
5.1
4
9
5
9
4
9
5
9
5
9
5.2
$
× =
$
$
5.3
× =
$
5.4
× ( + ( × ( = "
$
$
(
(
(
(
(
"
"
Vraag 6
6.1
DA +55 = B
Reël: I;B; 5<0;5; B<
6.2.1 I;−2; 2<
6.2.2 I;5;−2<