Answer: The boat moved 768.51 feet in that time .
Step-by-step explanation:
Since we have given that
Height of the lighthouse = 1000 feet
Angle depression to boat 'a' = 29°
Angle of depression to shore 'b' = 44°
Consider ΔABC,

Now, Consider, ΔABD,

We need to find the distance that the boat moved in that time i.e. BC
so,

Hence, the boat moved 768.51 feet in that time .
Answer:
Step-by-step explanation:
Using the formula
p +/- z* √(p(1-p) / n)
Where p is sample proportion = 3226/3957 = 0.8153, n = 3957 and z* is 2.576
0.8153 + (2.576 √(0.8153(1-0.8153) / 3957))
0.8153 + (2.576 √ (0.8153(0.1847) /3957)
0.8513 + (2.576 √(0.1572/3957)
0.8513 + (2.576 √0.00003974)
0.8513 + 2.576(0.0063)
0.8513 + 0.016
0.8670 ~ 87%
For the lower interview
0.8513 - 0.016
= 0.8353 ~ 84%
Thus, at 99% confidence interval is 84% and 87%
Answer:
1. 45
2. 105
3. 95
4. 85
Step-by-step explanation:
For problems 1 and 4:
Consecutive angles are supplementary in a parallelogram, which means they equal 180.
180 - 135 = 45
180 - 95 = 85
For problems 2 and 3:
Opposite angles are congruent or equal each other in a parallelogram,
Answer:
c = x + 2.
Step-by-step explanation:
Let the correct temperature be x degrees and the temperature of the faulty thermometer be c degrees.