A. Mean = 491.125
b. Median = 403.5
c. Mode = there is no mode
Answer:
From figure A
The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
From figure B
The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Step-by-step explanation:
<u>Given first figure as :</u>
AC = 28.2
BC = 16.5
∠ A = 34°
Let AB = c
<u>From law of sines</u>
= =
Or, =
or, =
Or, 29.506 =
Or, Sin B =
Or, Sin B = 0.955
∴ ∠B = 0.955
I.e∠ B = 75.74
Now, ∠ C = 180° - ( ∠A + ∠B )
Or, ∠ C = 180° - ( 34° + 75.74° )
Or, ∠ C = 70.26°
Now, Again
=
so, =
Or, =
Or, c = 29.09 × 0.9412
∴ c = 27.37
I.e AB = 27.37
Hence, The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
<u>From figure second</u>
Given as :
AB = c= 12
BC = a = 16
∠ C = 31°
let AC = b
<u>From law of sines</u>
= =
Or, =
or, =
or, =
Or, = 23.52
∴ Sin A =
I.e Sin A = 0.68
Or, ∠ A = 0.68
or, ∠ A = 42.8°
Now, ∠ B = 180° - ( 31° + 42.8° )
Or, ∠ B = 106.2°
Now, =
or, =
Or, =
or, b = 31.3×0.96
∴ b = 30.04
Hence The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Answer
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.