What is 119.63 rounded to the nearest whole number ?
2 answers:
You might be interested in
Answer:
a. See Attachment 1
b.
c.
d.
Step-by-step explanation:
Calculating PT
To calculate PT, we need to get distance OT and OP
Calculating OT;
We have to consider angle 50, distance OH and distance OT
The relationship between these parameters is;
Multiply both sides by 20
Calculating OP;
We have to consider angle 30, distance OH and distance OP
The relationship between these parameters is;
Multiply both sides by 20
(Approximated)
--------------------------------------------------------
Calculating the distance between H and the top of the tower
This is represented by HT
HT can be calculated using Pythagoras theorem
Substitute 20 for OH and
Take Square Root of both sides
<em>(Approximated)</em>
--------------------------------------------------------
Calculating the position of H
This is represented by OH
See Attachment 2
We have to consider angle 50, distance OH and distance OT
The relationship between these parameters is;
Multiply both sides by OT
Substitute
<em> (Approximated)</em>
Answer:
The population will be 896 turtles 6 years later ⇒ B
Step-by-step explanation:
The exponential increasing formula is y = a, where
- y is the new value
- a is the initial value
- r is the rate of increase in decimal
- x is the time in years
∵ There are 300 turtles
∴ a = 300
∵ The population of the turtles exponentially increases 20% each year
∴ r = 20%
→ Divide it by 100 to change it to decimal
∵ 20% = 20 ÷ 100 = 0.2
∴ r = 0.2
∵ The time is 6 years
∴ x = 6
→ Substitute these values in the exponential formula above
∵ y = 300
∴ y = 300
∴ y = 895.7952
→ Round it to the nearest whole number
∴ y = 896
∴ The population will be 896 turtles 6 years later