The area of the parallelogram is equal to the product of its base and height, the area is the twice of πr,r or πr².
<u>Step-by-step explanation:</u>
The circumference of a circle = 2πr.
where r= radius of the circle.
If the circle is divided into equal sectors it will form a triangle.
If we arrange these triangle one by one we'll get a parallelogram. (refer the image).
Then the circumference of the circle becomes the base of the parallelogram and radius becomes the height.
∴Base= 2πr and Height=r.
The area of the parallelogram = Base×Height.
∴ The area for the circle turned parallelogram = 2πr×r.
⇒Area= 2πr².
In other words, twice the πr and r (or) πr².
Thus area of a circle can be derived from the circumference formula.
Answer: =5x3+x2+6x−5
Step-by-step explanation:
Answer:
The speed of River's mom drove for 10 miles distance is 0.234 mph.
The speed of River's mom drove for 25 miles is 10.234 mph.
Step-by-step explanation:
Given as :
The first distance cover by River's mom = 10 miles
The rate of speed = x mph
The second distance cover by river's mom = 25 miles
The rate of speed = x + 10 mph
The total driving time = 45 min
Now, According to question
So,
Now dividing by 5 on both side we get;
Solving this quadratic equation we get;
Since speed cannot be in negative hence we will consider x= 0.234
So, The speed for 10 miles distance = x = 0.234 mph
and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph
Hence The speed of River's mom drove for 10 miles distance is 0.234 mph
and The speed of River's mom drove for 25 miles is 10.234 mph
Answer:
Step-by-step explanation:
Multiply both sides by 10:
Multiply both sides by 7:
Expand using distributive rule:
Hence,
Therefore, .