Answer:Option C:
64 \ cm^2 is the area of the composite figure
It is given that the composite figure is divided into two congruent trapezoids.
The measurements of both the trapezoids are
b_1=10 \ cm
b_2=6 \ cm and
h=4 \ cm
Area of the trapezoid = \frac{1}{2} (b_1+b_2)h
Substituting the values, we get,
A=\frac{1}{2} (10+6)4
A=\frac{1}{2} (16)4
A=32 \ cm^2
Thus, the area of one trapezoid is $32 \ {cm}^{2}$
The area of the composite figure can be determined by adding the area of the two trapezoids.
Thus, we have,
Area of the composite figure = Area of the trapezoid + Area of the trapezoid.
Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2
Thus, the area of the composite figure is 64 \ cm^2
Step-by-step explanation:
9 + 0.5n = 35
0.5n = 35 - 9
0.5n = 26
n = 26 : 0.5
<u><em>n = 52</em></u>
<u>Answer:</u>
Total number of result at two polling location in a page election is represented by expression 8r + 11.
<u>Solution:</u>
Given that a page election result can hold r result.
Number of result at one polling location = 5r + 15
Number of result at second polling location = 3r - 4
Need to write simplified expression for total number of results at two polling location.
<em>Total number of results at two polling location</em> = Number of result at one polling location + Number of result at second polling location
=> Total number of results at two polling location = (5r + 15) + (3r - 4) = 8r + 11
Hence total number of result at two polling location is represented by expression 8r + 11.
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
You divide 1540 by 220 to get 7. We do this because we want to find how many times 220 can go in 1540 which shows the amount of ft tall the scale will be. We can check it by doing 7 × 220 which is 1,540.
The building will be 7 ft tall in the scale.
