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Math Problems
Grade 6
Division with decimal divisors
Ch
4
4
4
.
4
4
4
Solving Obtuse Triangle Situations
\newline
Example
2
2
2
: A rescue helicopter flew from its home base for
35
k
m
35 \mathrm{~km}
35
km
on a bearing
S
6
0
∘
E
\mathrm{S} 60^{\circ} \mathrm{E}
S
6
0
∘
E
to pick up an accident victim. Then it flew directly south for
25
k
m
25 \mathrm{~km}
25
km
to the hospital. What distance and course (bearing from the hospital) must the helicopter fly to return directly to its home base? Answer to the nearest tenth of a kilometre and tenth of a degree.
\newline
(
52.2
k
m
,
N
35.
5
∘
W
)
\left(52.2 \mathrm{~km}, \mathrm{~N} 35.5^{\circ} \mathrm{W}\right)
(
52.2
km
,
N
35.
5
∘
W
)
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Gradebook / Essential of Bldg M
\newline
IDEAS
\newline
https://ideas.humber.ca/assess
2
2
2
/?cid=
10728
10728
10728
aid=
32896
32896
32896
\#/skip/
2
2
2
\newline
ASSIGNMENT
10
10
10
: Angles, Triangles, Parallel Lines
\newline
Score:
8
8
8
/
18
18
18
6
/
9
6 / 9
6/9
answered
\newline
Question
2
2
2
\newline
Score on last try:
0
\mathbf{0}
0
of
1
p
t
s
.
S
e
e
D
e
t
a
i
l
s
f
o
r
m
o
r
e
.
\mathbf{1} \mathbf{~ p t s . ~ S e e ~ D e t a i l s ~ f o r ~ m o r e . ~}
1
pts.
See
Details
for
more.
\newline
Next question
\newline
You can retry this question below
\newline
Convert the angle
21
7
∘
3
4
′
5
0
′
′
217^{\circ} 34^{\prime} 50^{\prime \prime}
21
7
∘
3
4
′
5
0
′′
from degrees/minutes/seconds to decimal degrees rounded to
2
2
2
decimal places.
\newline
Enter an integer or decimal number [more..]
\newline
Question Help:
□
\square
□
Video
\newline
Check Answer
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Which of the following is an integer?
\newline
Choices:
\newline
(A)
0
0
0
\newline
(B)
π
\pi
π
\newline
(C)
−
11
2
-\frac{11}{2}
−
2
11
\newline
(D)
11
2
\frac{11}{2}
2
11
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Triangle
B
N
R
B N R
BNR
is shown where
N
R
=
18.9
N R=18.9
NR
=
18.9
centimeters
(
c
m
)
,
B
N
=
22.4
c
m
,
B
R
=
27.3
c
m
(\mathrm{cm}), B N=22.4 \mathrm{~cm}, B R=27.3 \mathrm{~cm}
(
cm
)
,
BN
=
22.4
cm
,
BR
=
27.3
cm
, and
N
F
=
15.1
c
m
N F=15.1 \mathrm{~cm}
NF
=
15.1
cm
.
\newline
Which is the area of
△
B
N
R
\triangle B N R
△
BNR
?
\newline
(A)
142.695
c
m
2
142.695 \mathrm{~cm}^{2}
142.695
cm
2
\newline
(B)
169.12
c
m
2
169.12 \mathrm{~cm}^{2}
169.12
cm
2
\newline
(C)
211.68
c
m
2
211.68 \mathrm{~cm}^{2}
211.68
cm
2
\newline
(D)
206.115
c
m
2
206.115 \mathrm{~cm}^{2}
206.115
cm
2
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Triangle
O
G
K
OGK
OG
K
is shown where
O
G
=
22.3
OG=22.3
OG
=
22.3
centimeters
cm
\text{cm}
cm
,
G
K
=
32.5
cm
GK=32.5\text{cm}
G
K
=
32.5
cm
,
O
K
=
21.9
cm
OK=21.9\text{cm}
O
K
=
21.9
cm
. Height of the triangle is
15
cm
15\text{cm}
15
cm
. What is the area of
△
O
G
K
\triangle OGK
△
OG
K
?
\newline
(A)
244.185
cm
2
244.185\text{cm}^2
244.185
cm
2
\newline
(B)
243.75
cm
2
243.75\text{cm}^2
243.75
cm
2
\newline
(C)
167.25
cm
2
167.25\text{cm}^2
167.25
cm
2
\newline
(D)
O
G
=
22.3
OG=22.3
OG
=
22.3
0
0
0
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Translate this verbal expression into an algebra
\newline
＂The sum of twice a number and
31
31
31
.＂
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Simplify to a single power of
5
5
5
:
\newline
(
5
2
)
5
\left(5^{2}\right)^{5}
(
5
2
)
5
\newline
Answer:
5
□
5 ^\square
5
□
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Simplify to a single power of
4
4
4
:
\newline
4
5
⋅
4
6
4^{5} \cdot 4^{6}
4
5
⋅
4
6
\newline
Answer:
4
□
4 ^\square
4
□
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Simplify to a single power of
4
4
4
:
\newline
4
2
⋅
4
6
4^{2} \cdot 4^{6}
4
2
⋅
4
6
\newline
Answer:
4
□
4 ^\square
4
□
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Which of the following expressions is equivalent to
\newline
4.56
×
0.031
4.56 \times 0.031
4.56
×
0.031
?
\newline
Choose
1
1
1
answer:
\newline
(A)
456
×
31
÷
100
456 \times 31 \div 100
456
×
31
÷
100
\newline
(B)
456
×
31
÷
1
,
000
456 \times 31 \div 1,000
456
×
31
÷
1
,
000
\newline
(C)
456
×
31
÷
10
,
000
456 \times 31 \div 10,000
456
×
31
÷
10
,
000
\newline
(D)
456
×
31
÷
100
,
000
456 \times 31 \div 100,000
456
×
31
÷
100
,
000
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Divide.
\newline
1.536
÷
96
=
1.536\div96=
1.536
÷
96
=
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Divide. Give the exact answer, written as a decimal.
\newline
959
÷
0.4
=
959 \div 0.4 =
959
÷
0.4
=
_____
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