Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
Answer:
The percentage increase in bird population in the second years is 4% .
Step-by-step explanation:
Given as :
During two years, the population of birds of an island became 7 times more than before.
The the percentage increase in first year = =
=40%
Let The percentage increase in second year =
= r%
So, According to question
The initial population of bird = x
The increase population of bird =7 times before = 7 x
Now,
The increase population of bird = initial population of bird × (1+
) × (1+
)
Or, 7 x = x × (1+
) × (1+
)
Or,
= 1.4 × (1+
)
Or, 7 = 1.4 × (1+
)
Or,
= (1+
)
Or, 5 = (1+
)
Or, (1+
) = 5
Or,
= 5 - 1
Or,
= 4
∴ r = 4 × 100
I.e r = 400
so, The percentage increase = r% = 4
Hence The percentage increase in bird population in the second years is 4% . Answer
Answer:
0.15
Step-by-step explanation:
Answer:
23. 
24. 
25. 
26. 
27. 
28. 
Step-by-step explanation:
To solve these i used SOHCAHTOA

23.
Find the missing side using Tangent



24.
Find the missing side using Tangent



25.
Find the missing side using Tangent



26.
Find the missing side using Tangent



27.
Find the missing side using Tangent



28.
Find the missing side using Tangent



Based on the two different purchases, you can write equations for the price of a hotdog (h) and that of a drink (d). These equations can be solved by your favorite method to find the individual prices.
... 6h +4d = 17.00 . . . . . . Carl's purchase
... 3h +4d = 12.50 . . . . . . Susan's purchase
We can see that the difference in purchase cost (of $4.50) is due entirely to the difference in the number of hotdogs (3). Thus, the price of a hotdog must be
... $4.50/3 = $1.50
The 4 drinks are then ($12.50 -4.50) = $8, so must be $2 each. You don't need to figure the cost of a drink to determine that the appropriate answer choice is ...
... D. $1.50 for a hot dog; $2.00 for a drink.