Answer:
BA = 12
Step-by-step explanation:
All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...
hypotenuse/long-side = BC/BA = BA/BD
Cross multiplying gives ...
BA² = BC·BD
BA = √(BC·BD) = √(16·9)
BA = 12
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
Answer:
i gave you the slope and if its a function
Step-by-step explanation:
it a function
Slope (m) = ΔYΔX= 0
θ = arctan( ΔY )ΔX= 0°
ΔX = 10 – -2 = 12
ΔY = 3 – 3 = 0
Distance (d) = √ΔX2 + ΔY2 = √144 = 12
Equation of the line:
y = 0x + 3
When x=0, y = 3
Answer:
182 feet
Step-by-step explanation:
The equation that describes the motion of the hot air ballon is:

where:
is the initial altitude
v is the rate of descend of the balloon
t is the time
The balloon starts from a height of

and has a rate of descend of

Therefore, after time
t = 12 min
Its altitude will be

61 / 3427= 0.01779982. (rounds up to 0.02 if rounded by hundredths)