Sharon wants to start a savings account with the money she earns selling scented candles. She already has $50 and would like to
2 answers:
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Area of the rectangle: 112
Step-by-step explanation:
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The area of a triangle is given by
where
b is the length of the base
h is the height
For triangle ABE, we know that
A = 40 (area)
h = 8 (height)
So we can find the length of the base AE:
Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:
We also know the height of the rectangle AB is 8, and that the area of a rectangle is
where b is the base and h the height. Therefore, the area of this rectangle is
Learn more about area of figures:
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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