The volume of the cylinder in terms of π is 18,095.5736 square yards,
the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.
Step-by-step explanation:
Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.
The volume of any cylinder = π × r² × h.
Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get
The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.
Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get
The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.
Answer:
c
Step-by-step explanation:
the highest exponent is 3 so the leading coefficient is -3
Answer:
Step-by-step explanation:
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
Step-by-step explanation:
