The volume of a rectangular prism is found with the formula
V = w · l · h
So if you substitute those variables for the dimensions of the prism you get
V = 5 · 4 · 7
Then you simplify
V = 20 · 7
V = 140
Therefore, the volume of the prism is answer choice 1, 140 meters³
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Multiply then simplify, that's doing the same work twice...anyway
x^3+x^2y+xy^2-x^2y-xy^2-y^3
x^3-y^3 which if factored is:
(x-y)(x^2+xy+y^2) which is what you started with :)
Answer:
83.15
Step-by-step explanation:
Joey's current grade can be determined by weighting his scores with the weights given and adding the results
Tests = 0.6 x 82 = 49.2
Quizzes = 0.25 x 77 = 19.25
homework = 0.15 x 98 = 14.7
49.2 + 19.25 + 14.7 = 83.15
