The answer is 471 feet.
If A = man to left of balloon
<span>B = balloon </span>
<span>C = man to right of balloon </span>
<span>∠BAC = 75°20' </span>
<span>∠BCA = 49°30' </span>
<span>∠ABC = 180 - 75°20' - 49°30' = 55°10' </span>
<span>AB = 400 ft </span>
<span>Now we have to find the value of x, which is the side opposite to angle of 75°20' </span>
<span>Using Law of Sines: </span>
<span>x/sin(75°20') = 400/sin(55°10') </span>
<span>x = 400 * sin(75°20') / sin(55°10') </span>
<span>x = 471.44 </span>
<span>x = 471 ft </span>
Answer:
22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given: YX=HX,
m∠Y = m∠H
m∠ZXY=m∠KXH
ΔXYZ and ΔHXK are congruent triangles
so, YZ = HK (corresponding parts of congruent triangles are equal)
Answer:
a) f(g(x)) = 
= 
= x
g(f(x)) = = = x
f and g are inverses
b) f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
f and g are not inverses
Step-by-step explanation:
a)
f(g(x)) = = = x
g(f(x)) = = = x
Since f(g(x)) = g(f(x)) = x, then f and g are inverses
b)
f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses
