Answer:
y = -2x + 9
Step-by-step explanation:
I'm going to use the points
(1,7) and (4,1)
1-7/4-1 = -2 = m
y - 7 = -2 (x - 1)
y - 7 = -2x + 2
y = -2x + 9
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
5-2y=3x divide one both sides
5-2y/3=x
Switch the sides
X=5-2y/3
Download Cymath and they will have the answer
Answer:
$0.75
Step-by-step explanation:
convert 5000 milligrams to grams which is 5.
Then multiply 5 by 0.15 to get the price which is 0.75