Answer:
The answer is A (384 units squared)
Step-by-step explanation:
The following figure is a triangular cross-section prism, so the cross-section of the triangular portion from top to bottom is the same. We can determine that the 12 is the perpendicular height of the prism. Since the cross-section is equal, the top and bottom triangles are identical. After visualizing, the base of the prism should look like the drawing attached.
We can use sine or cosine to solve for the unknown equal sides. The angle 45 degrees shown will be our reference angle. Suppose that the unknown side is a value, "x". Since both sides are equal, it doesn't matter which answer I use.
sin (45) and cos(45) is equal to [Sqrt (2)]/2. Hence, we can find for x.
Multiplying square root 2 by square root 2 will give 2.
Hence,
Remember that both sides are equal and the base is a right-angled triangle. We can now find the area of the base.
Now, we can find the volume, which is base area * Perpendicular height.
The volume is:
Answer:
y=7
Step-by-step explanation:
Note: Since you have not added the expression, so I am taking a sample expression which anyways would help you clear your concept regarding factors.
Answer:
Assuming the expression
- The expression consists of two terms. i.e. and .
- and are factors of the expression .
Step-by-step explanation:
Lets us consider an expression
Observe that and are connected by addition. Thus, are terms. So, The expression consists of two terms. and .
Next, let's have some discussion about factors in a mathematical expression.
Factors are said to be the parts of the expression which are connected by multiplication.
Now lets solve the example to determine the factors
∵
Therefore, and are factors of the expression .
Answer:
y = 6
x = 2
Step-by-step explanation:
y = 3x
y = x + 4
y = 3x
3x = x + 4
y = 3x
2x = 4
y = 3x
x = 2
y = 3(2)
x = 2
y = 6
x = 2
Answer:
Option b) between 0.05 and 0.01.
Step-by-step explanation:
We are given the following in the question:
Let and be the proportion of all parts from suppliers 1 and 2, respectively, that are defective.
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we get,
Now, we calculate the p-value from the table at 0.05 significance level.
P-value = 0.01174
Since,
Thus, the correct answer is
Option b) between 0.05 and 0.01.