Answer: 180.
Step-by-step explanation:
Appetizers = 5 types
drinks = 3 types
Sandwiches = 4 types.
Solution:
This is a combination problem.
For appetizers
= 5C2
= 10.
For drinks
= 3C2
= 3.
For sandwiches
= 4C2
= 6.
No. Of combinations scot can choose for his party
= 10*6*3
= 180
Scot can choose a total of 180 combinations for his party.
Answer:
the thalia age be 19 years
Step-by-step explanation:
Let us assume her brother age be x
Now the thalia age be x - 3
Now the equation would be
x + x - 3 = 41
2x = 41 + 3
2x = 44
x = 22
thalia age be
= 22 - 3
= 19
Hence, the thalia age be 19 years
And, her brother age be 22 years
The same is to be considered
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
I'd recommend placing your points on coordinates (3,2) and (-2,1)
Here's a picture to help as well
