Answer:
Option B.
Step-by-step explanation:
The given vertices of the polygon are (-6,-2),(-5,1),(-1,4),(1,1),(5,3),(1,-2).
We need to find the area of the polygon.
Plot the given vertices and on a coordinate plane and draw the polygon. Divide the polygon in 4 parts as shown below.
Area of rectangle is

Area of triangle is

Area of each figure is




Area of polygon is


The area of polygon is 34.5 units².
Therefore, the correct option is B.
Well 75x12=900 so 900 divided by 40 is 22.5 so 22 teachers can have 40 chalks but the principal needs to order another 20 :)
Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
Answer:
LOL
Step-by-step explanation:
Volume of sphere is given by:
V=4/3πr³
thus the value of r will be found as follows:
Plug in the values we get:
18432π=4/3πr³
solving for r we get:
r³=13824
r=∛13824
r=24 ft