Simplified answer would be 41
see the attached figure to better understand the problem
we know that
in the right triangle ABC
cos 56°=AC/AB
where
AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building
AB is the hypotenuse-----> 148 ft 2 in
56 degrees------> is the angle of elevation
so
cos 56°=AC/AB---------> solve for AC
AC=AB*cos 56°
AB=148 ft 2 in
convert 2 in to ft
1 ft -----> 12 in
x ft------> 2 in
x=2/12-----> x=0.17 ft
AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft
AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft
convert 0.86 ft to in
0.86 ft=0.86*12-----> 10.32 in
distance AB=82 ft 10 in
the answer is
the distance from the surveyor to the building is 82 ft 10 in
The answer is 36
Answer - 36
Answer:
Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.
Step-by-step explanation:
From the graphs given the more appropriate is one sample t- test
One sample t- test is used and the results are
Hypothesis Test Fiber
Sample Mean 2.62
Sample St. Dev 3.492
Degrees of Freedom 24
t- test statistic 0.1718
p- value 0.5675
the critical region for this test at ∝= 0.05 is t < -1.711
There is not enough evidence to reject the null hypothesis.
Since the calculated t= 0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not less than 2.5 grams.T
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
