Answer:
C= 2M + 10
Step-by-step explanation:
In this equation, we will calculate the total cost. So, we'll start off with "C =" Then, we know tat the charge is $2 per mile so we'll add it and make C = 2M. Then, it states that the flat fee is 10 dollars which makes the equation
C = 2M +10.
The length of the painting is 1/4.
According to the statement
we have to find the length of the rectangular painting with the help of the given information.
So, For this purpose, we know that the
The given information is:
The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard.
And we have to use the formula
Area = Length * Breadth
So, Substitute the values in it then solve
So,
Area = Length * Breadth
1/6= Length * 2/3
1/6 = 2L/3
1 = 12L/3
1 = 4L
L = 1/4.
The value of the length is 1/4.
So, The length of the painting is 1/4.
Learn more about area of a rectangle here
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Acute.........................
A=22/10
A=integral(a,b) [f(x)-g(x)]dx
Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.
We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx
Now we can integrate by term.
2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]
Now factor out constants.
2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]
Now integrate.
2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]
Now solve.
2*[(1/3)+2*(1/5)]
=22/10
Hope you can decipher what I wrote!
Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
