Answer:
B because it is a single digit number with added decimals
Step-by-step explanation:
Answer:
2800 - 4000
Step-by-step explanation:
40 × 70 = 2800
50 × 80 = 4000
The area of the semicircle is A = 1187.9 cm².
<h3>What is the area of a circle?</h3>
The area of a circle with a radius of r is A = πr².
Given that, the diameter of the semicircle is 55 cm.
The radius of the semicircle is,
r = 55/2
The area of a semicircle is given by,
A = (1/2)πr²
Substitute the values,
A = (1/2)π(55/2)²
A = 1187.9
Hence, the area of the semicircle is A = 1187.9 cm².
Learn more about the area of a circle:
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Answer: The equation of the parabola is
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,
![(x-h)^2=4p(y-k)](https://tex.z-dn.net/?f=%28x-h%29%5E2%3D4p%28y-k%29)
Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,
![(h,k+p)=(-5,-5)](https://tex.z-dn.net/?f=%28h%2Ck%2Bp%29%3D%28-5%2C-5%29)
On comparing,
![h=-5](https://tex.z-dn.net/?f=h%3D-5)
.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),
![2k=2](https://tex.z-dn.net/?f=2k%3D2)
![k=1](https://tex.z-dn.net/?f=k%3D1)
Put this value in (1).
![p=-6](https://tex.z-dn.net/?f=p%3D-6)
Put p= -6, h= -5 and k=1 in the standard form of the parabola.
![(x+5)^2=4(-6)(y-1)](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%3D4%28-6%29%28y-1%29)
![(x+5)^2=-24(y-1)](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%3D-24%28y-1%29)
Therefore, the equation of parabola is
.
The ratio is 216:9, which can be simplified to 72:3, which can be simplified to 34:1. This can also be written as a fraction (34/1). It means there are 34 golf balls for every one bucket.