Answer:
First option: 27 square units.
Step-by-step explanation:
The formula for calculate the area of a trapezoid is:

Where h is the height, B the larger base and b the smaller base.
Observe the figure of the trapezoid called ABCD. The length of the larger base (AB) is 12 units and the lenght of the smaller base (CD) is 6 units, but the height h is unknown, so you need to find it.
You can observe in the figure that two equal right triangles are formed, whose opposite side is the height "h". If you calculate the opposite side of one of those triangles, you will obtain the height of the trapezoid.
For this, you can use the identity
.
Identify the opposite side, the adjacent side and the angle
:

Substitute and solve for the height h:

Finally substitute into
:

Answer:
y = -2x + 2
Step-by-step explanation:
The equation of a line is y = mx + b.
First we want to find m, the slope. We can used the coordinates to do so: 
Now we know that the equation is y = -2x + b. We can plug in the coordinate (3, -4) to find b.

So the equation is y = -2x + 2.
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
Find out more on equation at: brainly.com/question/2972832
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The answer is 5a. 3a- 4a is -1 then you add -1 and 6, and your outcome comes out to be 5a.
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%