The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
<h2>0</h2>
Step-by-step explanation:
Answer:
<em>Riko is wrong because she uses the wrong formula.</em>
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
<em>This shows that Riko is wrong because she uses the wrong formula.</em>
Answer:
3
Step-by-step explanation:
Evaluate 2 x 2 x 2 x 3 x 11 (better written as 2·2·2·3·11, because "x" is a variable name, not a math operator).
2·2·2·3·11 = 8·33 = 264
Then divide 792 by this 264 to find the final factor:
final factor = 792/264 = 3
Then the prime factorization of 792 is 2·2·2·3·3·11
which we obtained by multiplying 2 x 2 x 2 x 3 x 11 by 3.
