Answer:
50
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. So HK = JK and GK = LK.
HK = JK
c − 7 = 3c − 33
26 = 2c
c = 13
GK = LK
c + 12 = LK
13 + 12 = LK
25 = LK
GL is the sum of GK and LK:
GL = GK + LK
GL = 2LK
GL = 50
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
Answer:
85 ft
Step-by-step explanation:
for all right triangles, triangles with a 90 degree angle, the sides are equal to
where c is the hypotenuse, or the longest side.
so... 

c= 85
Answer: 4x² + 4x - 2 - 
<u>Step-by-step explanation:</u>
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = 
| 4 10 4 -6
<u>| ↓ -6 -6 3 </u>
4 4 -2 -3 ← <em>-3 is the remainder</em>
↓ ↓ ↓
4x² +4x -2 ← <em>factored polynomial</em>
5 to the 7th power times 5 to the 6th power