Answer:
188
Step-by-step explanation:
So we can split up this shape into two prisms and then add the two areas.
The volume of a rectangular prism is V = l*w*h
For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108 .
Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80
Now adding these two values will give us the area of the entire figure: 108 +80 = 188
Answer:
Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;
Substitute,
Cross products,
Inverse operations,
If the numbers that we are checking divisibility for are between 1-100, there are 3 numbers.
30, 60, and 90 are all divisible by both 3 and 10 because both 3 and 10 are factors of these 3 numbers.
Answer:
Answer is D, all you do is add the numbers
Option a: is the equivalent expression.
Explanation:
The expression is where
Let us simplify the expression, to determine which expression is equivalent from the four options.
Multiplying the powers, we get,
Cancelling the like terms, we have,
This equation can also be written as,
Multiplying the terms in denominator, we have,
Thus, the expression which is equivalent to is
Hence, Option a is the correct answer.