Answer: The correct option is (B) 48 m².
Step-by-step explanation: Given that a triangular prism has a height of 6 meters and a triangular base with the dimensions as shown in the figure.
We are to find the value of B, the area of the base of the prism.
As shown in the figure,
the base of the prism is a triangle with base length 16 m and height 6 m.
We know that
the area of a triangle with base b units and height h units
In the given triangular base of the prism, we have
b = 16 m and h = 6 m.
Therefore, the area of the base will be
Thus, the required value of B is 48 m².
Option (B) is CORRECT.
Answer:
(x - 11)² + y² = 25
Step-by-step explanation:
First find the center
O = ( (15 +7 / 2), (-3 + 3)/2 )
O = (11, 0)
Then find the radius squared
use the distance formula from the center to either end point of the diameter
r² = (15 - 11)² + (-3 - 0)²
r² = 16 + 9
r² = 25
Formula for circle
(x - h)² + (y - k)² = r²
(h, k) is the center = (11, 0)
The equation is
(x - 11)² + y² = 25
Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 + (Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)