To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
Answer:
160002 feet
Step-by-step explanation:
y(t)=-16t^2+3200t+2
We need y’ to find a maximum
y’(t)=-32t+3200
y’(t)=0 if t=100
Notes that y’(t)>0 if t<100, and fot t>100 y’(t)<0. Now we can conclude that y(t) has maximum in t=100
Y(100)=-16*10000+3200*100+2
Y(100)=160002 feet
Here is the answer for the question
Answer:
To solve an exponential equation, take the log of both sides, and solve for the variable.
Step-by-step explanation:
Example 1: Solve for x in the equation tex2html_wrap_inline119 .
Solution:
Step 1: Take the natural log of both sides:
displaymath121
Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:
displaymath123
Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads
displaymath127
Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..
Check: Check your answer in the original equation.
displaymath131
Answer:
rule is when x increases by 1, y decreases by 3000
Step-by-step explanation:
