Answer:
<u>A. 20.86 square inches</u>
Step-by-step explanation:
a)
We know that the formula for the area of a rectangle is Length x Height (A = LH).
Length (L) = 6 inches
Height (H) = 4 inches
So we incorporate our formula for the area of a rectangle into this situation:
Area (A) = 6 x 4
Area (A) = 24 in^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Radius (r) = 1 inch
So we incorporate our formula for the area of a circle into this situation:
Area (A) = 3.14 x 1^2
Area (A) = 3.14 in^2
c)
We can see from the diagram that the shaded region come mainly from the rectangle. So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).
Area of rectangle = 24 in^2
Area of circle = 3.14 in^2
So we incorporate our formula for the area of the shaded part into this situation:
Area (A) = 24 in^2 - 3.14 in^2
<u>Area (A) = 20.86 in^2</u>
Answer:
Therefore the cost of a crab meal and a vegetarian are $40.41 and $1.94 respectively.
Step-by-step explanation:
Given that,tickets for 33 crab meals and 20 vegetarian meal with total receipt of $2025. Another sold ticket for 30 crab meal and 11 vegetarian meals with total receipt of $1827.
Let the cost of a crab meal and a vegetarian meal be x and y respectively.
The cost of a crab meal is x
The cost of 33 crab meal is $33x
The cost of 30 crab meal is $30x
The cost of a vegetarian meal is y.
The cost of 20 vegetarian meal is $20y.
The cost of 11 vegetarian meal is $11y
According to problem,
33x+20y=2025
33x+20y-2025=0........(1)
and
30x+11y=1827
30x+11y-1827=0 ..........(2)
Cross Multiplication Method,
![a_1x+b_1y+c_1=0](https://tex.z-dn.net/?f=a_1x%2Bb_1y%2Bc_1%3D0)
![a_2x+b_2y+c_2=0](https://tex.z-dn.net/?f=a_2x%2Bb_2y%2Bc_2%3D0)
![\frac{x}{b_1c_2-b_2c_2}=\frac{y}{a_2c_1-a_1c_2}=\frac{1}{a_1b_2-a_2b_1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bb_1c_2-b_2c_2%7D%3D%5Cfrac%7By%7D%7Ba_2c_1-a_1c_2%7D%3D%5Cfrac%7B1%7D%7Ba_1b_2-a_2b_1%7D)
![{x}=\frac{b_1c_2-b_2c_2}{a_1b_2-a_2b_1}](https://tex.z-dn.net/?f=%7Bx%7D%3D%5Cfrac%7Bb_1c_2-b_2c_2%7D%7Ba_1b_2-a_2b_1%7D)
![{y}=\frac{a_2c_1-a_1c_2}{a_1b_2-a_2b_1}](https://tex.z-dn.net/?f=%7By%7D%3D%5Cfrac%7Ba_2c_1-a_1c_2%7D%7Ba_1b_2-a_2b_1%7D)
Here
,
,
,
,
,![c_2=-1827](https://tex.z-dn.net/?f=c_2%3D-1827)
![y=\frac{30.(-2025)-33.(-1827)}{33.11-30.20}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B30.%28-2025%29-33.%28-1827%29%7D%7B33.11-30.20%7D)
![\approx 1.94](https://tex.z-dn.net/?f=%5Capprox%201.94)
Therefore the cost of a crab meal and a vegetarian are $40.41 and $1.94 respectively.
Answer:
840
Step-by-step explanation:
7C4 × 4! = 840
Answer:
B) No more than three games
Step-by-step explanation:
est $290+32=322
322+32+32=$386
386+32=418 (which is over price)
Answer: 48ft cubed (48ft^3)
Steps:
Volume- lwh
8 * 3 * 2
24 * 2 = 48
48ft^3 (48 feet cubed)