Explanation
The shaded area represents a segment. This can be solved with the formula below;
![\mleft(\frac{\theta}{360}\mright)\times\pi r^2-\frac{1}{2}r^2sin\theta](https://tex.z-dn.net/?f=%5Cmleft%28%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cmright%29%5Ctimes%5Cpi%20r%5E2-%5Cfrac%7B1%7D%7B2%7Dr%5E2sin%5Ctheta)
Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm
![\begin{gathered} =7^2(\frac{60}{360}\times3.14-\frac{1}{2}\times\sin 60)^{}_{} \\ =49(\frac{3.14}{6}-\frac{\sqrt[]{3}}{4}) \\ =4.43\operatorname{cm}^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D7%5E2%28%5Cfrac%7B60%7D%7B360%7D%5Ctimes3.14-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Csin%2060%29%5E%7B%7D_%7B%7D%20%5C%5C%20%3D49%28%5Cfrac%7B3.14%7D%7B6%7D-%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B4%7D%29%20%5C%5C%20%3D4.43%5Coperatorname%7Bcm%7D%5E2%20%5Cend%7Bgathered%7D)
Answer:
Answer: 11 shelves
Step-by-step explanation:
Total number of juice boxes:
= 32 + 56
= 88 boxes
Each cupholder holds 8 boxes. Number of shelves needed is:
= Number of boxes / Boxes per holder
= 88 boxes / 8 boxes per holder
= 11 shelves
Answer:
The equation of the line is
![y = \frac{1}{2} x - 4](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%204)
Step-by-step explanation:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
Gradient = 1/2
Equation of the line using point ( 4 , -2) is
![y + 2 = \frac{1}{2} (x - 4) \\ y + 2 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 - 2 \\ y = \frac{1}{2} x - 4](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%204%29%20%5C%5C%20%20y%20%2B%202%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%20-%202%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%204)
Hope this helps you
the underground ride is 861 mater long, what isthis number rounded to the nearest 100?
Answer:
861 ≈ 900
Given is-
The sundae contains over 2 kilograms of ice cream, which means S will be at least equal to 2.
Let 'S' represents the weight of sundae.
Also given is that the sundae can have any number of toppings.
Let 't' represents the toppings.
Hence, the inequality describing S, the weight of the special sundae in kilograms is given as:
![S\geq 2+t](https://tex.z-dn.net/?f=S%5Cgeq%202%2Bt)