Answer:
A 404 mi
Step-by-step explanation:
If we designate the points of the triangle A, B, and C for the locations of the western station, eastern station, and balloon, respectively, we have the following:
∠CAB = 90° - 41° = 49°
∠CBA = 90° + 21° = 111°
∠ACB = 41° -21° = 20°
side "c" (opposite ∠ACB) is 148 miles
The distance we're asked to find is AC = b, the longest side of the triangle. The law of sines tells us ...
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = (148 mi)·sin(111°)/sin(20°) ≈ 403.98 mi ≈ 404 mi
Answer:
x+5=5
Step-by-step explanation:
This is an equation where you are actually solving it. The others are expressions.
Attached the solution and work. The x,y,n are just variables I put in so you could see how I solved for the missing angle.
Rigid transformation preserves both the side lengths and angle measures of a polygon.
Answer:
Exponential function is:
y = 100 (1.03)ˣ
Step-by-step explanation:
We know that the exponential growth function is of the form
y = a (1 + r)ˣ
Here:
a = initial value
r = growth rate
x = number of time intervals that have passed
Given that A new savings account is opened with 400. Thus,
a = 400
Given that a new saving account gains 3% every year.
r = 3% = 0.03
now substituting a = 400 and r = 0.03 in the function
y = a (1 + r)ˣ
y = 100 (1 + 0.03)ˣ
y = 100 (1.03)ˣ
Therefore, exponential function is:
y = 100 (1.03)ˣ
<em>Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.</em>
