Answer:
We will split the trapezoid into right angle triangle and rectangle
Traingle with base 3cm and height 10 - 6 = 4cm
Area of traingle
= ![\frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2Abase%20%2Aheight%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%203%20%2A%204%20%3D%206cm%5E%7B2%7D)
Area of rectangle with sides 6cm and 3cm
=
Therefore, area of the trapezoid
=
Area of the semi circle with radius 3/2 = 1.5cm
= ![\frac{1}{2}\pi r^{2} = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E%7B2%7D%20%20%3D%20%5Cfrac%7B1%2A%5Cpi%20%2A1.5%2A1.5%7D%7B2%7D%20%3D%201.125%5Cpi%20cm%5E%7B2%7D)
![Total area = 24 + 1.125\pi =27.53cm^{2}](https://tex.z-dn.net/?f=Total%20area%20%3D%2024%20%2B%201.125%5Cpi%20%3D27.53cm%5E%7B2%7D)
Answer:an expression to describe the total cost of a party is written as
y = 13.50p + 50
Step-by-step explanation:
The cost of renting the party room at a restaurant is $50.00. Snacks cost $13.50 per person. Assuming the total number of persons invited for the party is p, and the total cost of renting the party room is y. Therefore an expression to describe the total cost of a party is written as
y = 13.50p + 50
The $50 always remains constant
Answer:
![1\frac{3}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.
![\frac{3}{4} \times2\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes2%5Cfrac%7B1%7D%7B3%7D)
![2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D%20%3D3%5Ctimes2%3D6%2B1%3D7%3D%5Cfrac%7B7%7D%7B3%7D)
![\frac{3}{4} \times\frac{7}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%5Cfrac%7B7%7D%7B3%7D)
![3\times7=21](https://tex.z-dn.net/?f=3%5Ctimes7%3D21)
![4\times3=12](https://tex.z-dn.net/?f=4%5Ctimes3%3D12)
![=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B21%7D%7B12%7D%20%3D%5Cfrac%7B7%7D%7B4%7D%20%3D1%5Cfrac%7B3%7D%7B4%7D)
![=1\frac{3}{4}](https://tex.z-dn.net/?f=%3D1%5Cfrac%7B3%7D%7B4%7D)
Hope this helps.
Answer:
Step-by-step explanation:
time to cross will be the distance divided by the velocity in that direction.
a) t = d/v = 45/2.75 = 16.363636... 16.4 s
In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.
b) d = vt = 2.5(16.36) = 40.9090... 40.9 m
As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities
c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s magnitude
θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across
Answer:
Solution is x=2. sorry if this is not what you are looking for!
Step-by-step explanation: