Answer:
The answers for this are as followed:
Area = 906.12058 (Rounded to the nearest tenth = 906.1)
Perimeter = 138.94608 (Rounded to the nearest tenth = 138.9)
Semiperimeter = 69.47304 (Rounded to the nearest tenth = 69.5)
Step-by-step explanation:
This is an Acute Scalene Triangle, with the side and angle measurements being:
Side A = 49
Side B = 40.17851 (Rounded = 40.2)
Side C = 49.76757 (Rounded = 49. 8)
------
Angle ∠A = 65° = 1.13446 rad
Angle ∠B = 48° = 0.83776 rad = 4/15π
Angle ∠C = 67° = 1.16937 rad
------
∠C = 180° - A - B = 1.16937 rad = 67°
b = a·sin(B)/sin(A) = 40.17851
c = a·sin(C)/sin(A) = 49.76757
In order to find the area, just use the equation:
Answer:
2
2
2
SSS similarity
Step-by-step explanation:
The figure is really just 3 triangles and 1 rectangle, as you see in the picture below.
notice the blue triangle has a base of 3 and a height of 2,
the green triangle has a base of 6 and a height of 1,
the yellow triangle has a base of 2 and a height of 6,
and the rectangle is a 7x6 rectangle.
we can simply get the area of each and sum them up, that's the area of the figure.
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) =
cos(x) =
x =
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) =
tan(x) =
x =
x = 67.29°
x ≈ 67.3°
The functions and their matching properties are:
- y = (1/4)ˣ: y-intercept at (0,1); graph approaches 0 as x increases
- y = 2(1/2)ˣ: y-intercept at (0,2); graph approaches 0 as x increases
- y = 3ˣ: y-intercept at (0,1); graph approaches positive infinity as x increases
<h3>How to match the functions with their properties?</h3>
The functions are exponential functions;
Exponential functions are represented using:
y = abˣ
Where a represents the y-intercept.
Also, when b is less than 1, the graph would approach 0 as the x value increases, otherwise it approaches positive infinity.
This means that the graphs of y = (1/4)ˣ and y = 2(1/2)ˣ would approach 0 as the x value increases
Read more about functions at:
brainly.com/question/27846142
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