Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8 cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (
) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8 cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8 cm² " .
_________________________________________________________
Answer:
(–2.2, –1.2)
Step-by-step explanation:
o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:
Δy=║-4-3║=7
Δx=║-1-(-4)║=3
Then we divide those differences by 5.
7/5=1.4
3/5=0.6
and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).
Px=-4+3*0.6=-2.2
Py=3-3*1.4=-1.2
so the coordinates of the point we are looking for (which I called "P") are:
P(-2.2, -1.2).
The stemplot is a type of frequency data that is presented in table form. It is like a histogram, but you don't use bars. Instead, you make a table where the left side represent the stem, while the right side represent the leaves.
First, arrange the data set from lowest to largest. Then, sort the numbers based on their tens digit. All the common tens digit should be placed on the stem side. The corresponding ones digit are placed in the leaves side, in which they are placed side by side. Fro example, for the data group: 12, 15, 17 ,19. The left side would be 1, then the right side are numbers containing 2, 5, 7 and 9, The stemplot is shown in the attached picture.
To determine the center, just literally find the central data by counting from both ends of the stemplot, until you reach the center. That would be 22, as encircle in the picture. Next, the spread is the topmost number to the bottom. Thus, the range is from 5 to 57. Lastly, the shape of the stemplot is determined by looking at the length of the leaves. The top leaves only contain number, while the bottom leaves contain 2 or 3 numbers. Thus, the spread is bottom-skewed, or more distributed in the bottom area.
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
12,007,000 || 210,700,000 || 1,210,707,000