Answer:
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Answer:
29
Step-by-step explanation:
5^2 = 25
25 + 4 = 29
The percentage of price of mangoes was increased by 15% from November to January.
<u>Step-by-step explanation:</u>
- The price of mangoes in November = $12 per kilo
- The price of mangoes in January = $18 per kilo
- The cost has been increased from $12 to $18.
Therefore, the change in percentage is percentage increase.
Percentage increase = (difference between two prices / lower price) × 100
⇒ (18-12 / 12) × 100
⇒ (6 / 12) × 100
⇒ 50 %
Therefore, the percentage change from November to January is increase of 50 %.
This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m
The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m
