Answer:
The area of the circle is 56.25π cm²
Step-by-step explanation:
- The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
- The formula of the area of a circle with radius r is A = πr²
<em>To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area</em>
∵ The circumference of a circle is 15π centimeters
∵ C = 2πr
- Equate 2πr by 15π
∴ 2πr = 15π
- Divide both sides by π
∴ 2 r = 15
- Divide both sides by 2
∴ r = 7.5 centimeters
Now let us use the rule of the area to find it
∵ A = πr²
∴ A = π(7.5)²
∴ A = 56.25π centimeters²
The area of the circle is 56.25π cm²
Step-by-step explanation:
Solution:
(6xy) × (-3x²y³)
= {6 × (-3)} × {xy × x²y³}
= -18x1+2 y1+3
= -18x³y⁴.
Answer:
300 students
Step-by-step explanation:
To know the number of students, we must divide the total amount of milk spent by the amount spent for each and in this way we will obtain the value we are looking for, like this (both have the same units of L, so there is no problem ):
30 / (1/10) = 300
that is to say that there are a total of 300 students
Answer:
(x - 9)(x^2 + 18x + 81).
Step-by-step explanation:
Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
x^3 - 729 = (x - 9)(x^2 + 18x + 81)
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is 
.
Step-by-step explanation:
Formula for gradient of a line segment :
Given points of the line segment: (-5,2) and (4,3)
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is .
