Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know
Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC =
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer:
F(4) = -3
Step-by-step explanation:
First, you would plug in 4 for x. PEMDAS, so you would multiply -3 and 4, giving you -12. Then add 9, which gives you -3.
<span>The formula for the surface area of a triangular prism is SA = bh + (s1 + s2 + s3)H. In this formula, "b" is the triangle base, "h" is the triangle height, "s1," "s2" and "s3" are the three triangle sides, and "H" is the length of the prism.
Hope it works! </span>
Answer:
1350
units²
Step-by-step explanation:
The regular hexagon consists of 6 equiangular triangles
The area (A) of a equilateral triangle is calculated as
A = 
( s is the side length )
Here s = 30 , then
A = 
= 
= 225 units²
Thus the area of the regular hexagon is
area = 6 × 225
= 1350 units² ← exact value
≈ 2338.3 units² ( to 1 dec. place )
Answer:
About 45.22
Step-by-step explanation:
Radius x 2 x π
