Answer:
<em>Correct choices: B, D</em>
Step-by-step explanation:
<u>The Volume of a Rectangular Prism</u>
Given a rectangular prism of dimension W, L, and H, the volume is calculated as:
V = WLH
Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.
A: V = 5*3*4 = 60 cube cm
B: V = 3*3*4 = 36 cube cm
C: V = 3*4*2 = 24 cube cm
D: V = 6*2*3 = 36 cube cm
E: V = 2*4*2 = 16 cube cm
Correct choices: B, D
Answer: The value of x is 28.
Step-by-step explanation:
Since line m is parallel to line l.
So, we assume that
(3x+21)° and (4x-7)° are corresponding angles.
And we know that , corresponding angles formed when a transversal cut the parallel line are equal.
So, they must be equal to each other.
Hence, the value of x is 28.
y = x - 3
1. Subtract 7 from the right to the left.
* 4y = 4x - 12
2. Divide the 4 (constant) next to the 'y' to the other side.
* y = 4/4x - 12/4
* y = x - 3
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:
117.600
Step-by-step explanation:
