9-t=t+3
Subtract t on both sides
-2t=-6
Divide by -2 to leave the variable by itself
t=3
Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
Answer:
140 is the answer for y2 because x1 is 80 more than x2 so you would subtract y2 by 80
Answer:
The surface area of the triangular prism is 84 square centimeters.
Step-by-step explanation:
The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.
Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.
But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:
The two congruent triangular bases:
1/2 x 4 x 3 = 6 cm^2
6 x 2 = 12 cm^2
Lateral bottom rectangular face:
6 x 3 = 18 cm^2
Lateral to the right rectangular face:
5 x 6 = 30 cm^2
Lateral to the left rectangular face:
4 x 6 = 24 cm^2
Add up all the values:
12 + 18 + 30 + 24 = 84
The SA is 84 square centimeters
21,000 + 0.07(21,000) = 21,000 + 1,470 = 22,470
