Answer:
The area of the base of the rectangular prism is:
- <u>18 square centimeters</u>.
The height of the rectangular prism is:
The volume of the rectangular prism is:
- <u>108 cubic centimeters</u>.
Step-by-step explanation:
To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:
- Area of a rectangle = base * height.
Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:
- Area of a rectangle = 9 cm * 2 cm
- <u>Area of a rectangle = 18 cm^2
</u>
Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:
- <u>Prism height = 6 cm
</u>
Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:
- Volume = area * height.
- Volume = 18 cm^2 * 6 cm
- <u>Volume = 108 cm^3</u>
Answer: 77/95 chance
Step-by-step explanation: There are 8+7+6+5+4+3+2+1 = 36 choices that differ by 12 or more, so the probability they differ by 12 or more is 36/190 = 18/95. So the probability that they do not differ by 12 or more is 1 - 18/95 = 77/95. Brainliest please?
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as 
, then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let 
be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.
