Answer: 432 units²
Step-by-step explanation:
The figure is composed by two trapezoids.
The formula for calculate the area of a trapezoid is:

Where "B" is the larger base, "b" is the smaller base and "h" is the height.
Let be
the area of the figure,
the area of the trapezoid on the left and
the area of the trapezoid of the right. Then the area of the figure will be:


Substituting values, you get:

<h3> </h3>
See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
Answer:

Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:

- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The parent function y = sin(x) has the following:
- Amplitude (A) = 1
- Period = 2π
- Phase shift (C) = 0
- Vertical shift (D) = 0
- Mid-line: y = 0
From inspection of the given graph:
- Amplitude (A) = 1

- Phase shift (C) = 0
- Vertical shift (D) = +3 (as mid-line is y = 3)

Substituting the values into the standard form:


Therefore, the equation of the given trigonometric graph is:

The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (
, 3) and (x₂, y₂ ) = (- 4, - 1 )
m =
= (- 4)/-
= 
partial equation is y =
x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = -
+ c ⇒ c = 
y =
x +
← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
Answer: 0.4 which is choice C
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Work Shown
Focus on the "riverside high school" row only
A = number of twelfth graders = 200
B = number of students = 500
P = probability of picking a twelfth grader
P = A/B
P = 200/500
P = 2/5
P = 0.4