The answer would be: 8
All you need to do is count the sum of the digits and see if is divisible by nine.
8 + 2 + 5 + 3 + 0 = 18
18 is divisible by 9.
Thus, 8 makes 82,530 divisible by 9.
a. The lateral area is the area of 5 congruent triangles. The strategy for computing their area will depend on the dimensions given. There are methods for computing triangle area based on side lengths, base length and height, coordinates of the points, and other dimensions. One straightforward way, given the appropriate dimensions is to multiply the slant height by the perimeter of the base, then divide that product by 2.
The base area is that of 5 congruent triangles. Again, their total area can be computed from half the product of the perimeter of the base and the apothem (height of the triangle).
The total surface area is the sum of lateral area and base area.
For example, given the apothem of the base (a) and the slant height of the side face (s), the total surface area (A) will be
... A = 5·a·tan(36°)·(a + s)
b. The volume is conventionally calculated as 1/3 of the product of the base area (B) and the height (h).
... V = (1/3)Bh
c. The volume of a prism with the same base area and height will be
... V = Bh
The volume of a pyramid is 1/3 of that.
d. A plane can intersect this pyramid to form a triangle, rectangle, trapezoid or other irregular quadrilateral, pentagon, or hexagon. The number of edges the cross-section has depends on the number of faces (including the base) the plane cuts. That number can be 3 through 6.
It would have 0 x-intercepts.
Answer:
42 degrees
Step-by-step explanation:
Angles in a triangle equal 180
180-(37+90)=53
Angles on a line equal 180
180-53=127
127=3b+1
126=3b
b=42
42 degrees
Answer:
Mean of the data set in the dot plot would be: 3.6
Step-by-step explanation:
As we know that Mean from the dot plot can be obtained by:
- adding the numbers and then
- divide the resulting sum by the number of addends.
Please check the attached figure where the dot plot is also plotted.
From the dot plot, it is clear that
There are 3 dots at 1.
There are 4 dots at 2.
There are 3 dots at 3.
There are 4 dots at 4.
There are 5 dots at 5.
There are 3 dots at 6.
All we have to do is to add the dots and divide the sum by the number of addend dots.
In other words:
There are 3 dots at 1 ⇒ 1+1+1
There are 4 dots at 2 ⇒ 2+2+2+2
There are 3 dots at 3 ⇒ 3+3+3
There are 4 dots at 4 ⇒ 4+4+4+4
There are 5 dots at 5 ⇒ 5+5+5+5+5
There are 3 dots at 6 ⇒ 6+6+6
As there are total 22 dots.
And the sum of all the dots with respect to their plot number = 79
i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79
Thus
Mean of the data set in the dot plot = 79/22
= 3.6
Therefore, Mean of the data set in the dot plot would be: 3.6
