For the following exercises, use the matrices below to perform the indicated operation if possible. if not possible, explain why the operation cannot be performed. (Hint: A 2 = A ⋅ A ) A = [ 1 0 2 3 ] , B = [ − 2 3 4 − 1 1 − 5 ] , C = [ 0.5 1 − 0.5 0.1 0.2 0.3 ] , D = [ 1 0 − 1 − 6 7 5 4 2 1 ] 49. A ( B C )
For the following exercises, use the matrices below to perform the indicated operation if possible. if not possible, explain why the operation cannot be performed. (Hint: A 2 = A ⋅ A ) A = [ 1 0 2 3 ] , B = [ − 2 3 4 − 1 1 − 5 ] , C = [ 0.5 1 − 0.5 0.1 0.2 0.3 ] , D = [ 1 0 − 1 − 6 7 5 4 2 1 ] 49. A ( B C )
For the following exercises, use the matrices below to perform the indicated operation if possible. if not possible, explain why the operation cannot be performed. (Hint:
A
2
=
A
⋅
A
)
A
=
[
1
0
2
3
]
,
B
=
[
−
2
3
4
−
1
1
−
5
]
,
C
=
[
0.5
1
−
0.5
0.1
0.2
0.3
]
,
D
=
[
1
0
−
1
−
6
7
5
4
2
1
]
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
Find the exact values of sin(2u), cos(2u), and tan(2u) given
2
COS u
where д < u < π.
2
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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