Answer:
D) 154 feet
Step-by-step explanation:
The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.
_____
The mnemonic SOH CAH TOA reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(30°) = (89 ft)/(distance to boat)
Then ...
... distance to boat = (89 ft)/tan(30°) ≈ 154 ft
Answer:
Yes
Step-by-step explanation:
Have a nice day
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)
Answer: p= 0.644
Step-by-step explanation:
We know that, the confidence interval for population proportion is given by :-
sample proportion(p) ± Margin of error(E)
Given confidence interval : (0.61,0.678)
i.e. p- E = 0.61 ... (i)
p+E = 0.678 ...(ii)
Adding (i) and (ii), we get
2p = 1.288
p= 0.644
From (ii),
E= 0.678-0.644
E= 34
Hence, the value of p = 0.644
Option B: 50 is the value of the constant.
Explanation:
From the graph, the coordinates are 
, 
, 
and 
Where the x coordinates denotes the width and the y - coordinates denotes the height.
Also, given that 
We need to determine the value of the constant
<u>Value of the constant:</u>
The value of the constant can be determined using the formula,
Since, all the coordinates lie on the same line, then all the coordinates have the constant.
Substituting the coordinate in the above formula, we get,
Therefore, the value of constant is 50.
Hence, Option B is the correct answer.
