Answer:
B
Step-by-step explanation:
Please see the answer in the picture attached below.
" From Step 1: We find that Angle N1 equals to 75 gradius => Answers A and C wrong. Answers B and D are left.
" From Step 4: We find that Angle N2 equals to 129 gradius => Answer B is true.
You don't need to find the exact value of the angle N3 in oder to choose the right answers from A,B,C,D.
Hope this answer can help you. Have a nice day!
Answer:
The height of the larger traffic signs is 51.96 inches
Step-by-step explanation:
Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches
Now, A company makes similar traffic signs of perimeter 1.25 of original
New perimeter will be 1.25x144=180 inches
Let triangle ABC be a larger triangle with 180inches of the perimeter.
It is given that the triangle is an equilateral triangle,
Therefore, Side AB=BC=AC
The perimeter of a triangle ABC is
AB+BC+AC=180
3AB=180
AB=60 inches
Figure show that triangle ABC and AD is the height of the triangle.
Since, the triangle ABC is an equilateral triangle,
AD is the perpendicular bisector of BC
so that,
BD=DC and Angle ADB=90
In right triangle ADB,
Angle D =90 and Angle B =60
Side BD=60/2=30 inches and AB=60 inches
Using Pythagoras theorem,
AD=51.96 inches
Thus, The height of the larger traffic signs is 51.96 inches
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level :
Using the t-distribution table ,
Critical value :
Standard deviation:
Then, we have
Hence, the margin of error for a 99% confidence interval for the population mean =1.509