Find the volume of the oblique cone shown round to the nearest tenth
1 answer:
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Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log ⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln, hence
x² = 100 ( take the square root of both sides )
x = 10
Velocity, distance and time:
This question is solved using the following formula:
In which v is the velocity, d is the distance, and t is the time.
On the first day of travel, a driver was going at a speed of 40 mph.
Time , distance of
, v = 40. So
The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles
On the second day, the velocity is .
On the first day, he drove 2 more hours, which means that for the second day, the time is:
On the first day, he traveled 20 more miles, which means that for the second day, the distance is:
Thus
System of equations:
Now, from the two equations, a system of equations can be built. So
Find the total distance traveled in the two days:
We solve the system of equation for , which gets the distance on the first day. The distance on the second day is
, and the total distance is:
From the first equation:
Replacing in the second equation:
Thus, the total distance is:
The total distance traveled in two days was of 380 miles.
For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500