Answer:
15f^2
Step-by-step explanation:
multiply lenghtxwidth
always make sure to square your answer when doing area
Answer:
Step-by-step explanation:
For a triangle the area is

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
The answer is: [D]: 2x + 22 .
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Answer:

Step-by-step explanation:
Let
, we need to determine
, which can be found by applying the following property:
,
(1)
Then,


Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.