Answer:
a = sqrt(b^2 + c^2 - 2bc cosA) = sqrt(13^2 + 6^2 - 2 * 13 * 6 * cos 50) = sqrt(169 + 36 - 156 cos 50) ≈ sqrt(205 - 100.3) ≈ sqrt(104.7) ≈ 10.2
a ≈ 10.2
c / sin C = a / sin A
sin C = c sin A / a = 6 sin 50 / 10.2 ≈ 0.4491
C = arcsin(0.4491) ≈ 26.7
C ≈ 26.7°
B = 180 - A - C ≈ 180 - 50 - 26.7 ≈ 103.3
B ≈ 103.3°
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Answer: 2 independent sample test of proportions
Step-by-step explanation:
The teo independent sample test of proportion is also referred to as the two proportion z-test and it simply allows the researcher to compare the two proportions in order to ascertain if they're the same or not.
In this case, the null hypothesis will be that that the proportions given in the research are the same while the alternate hypothesis will be that there is a difference between the proportions given.
Answer:
28 ft²
Step-by-step explanation:
Hello There!
To solve for the area of an irregular shape we want to split the irregular shape into regular shapes
For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)
now we can easily solve for the area of each individual shape
area of square -
the area of a square can simply be found by raising the side length to the power of 2
so

so we can conclude that the area of the square is 4ft^2
Now we want to find the area of the rectangle
the area of a rectangle is simply equal to the width times the length
so

so we can conclude that the area of the rectangle is 24ft^2
Finally we add the two areas together
24 + 4 = 28
thus meaning the area of the irregular figure is 28 ft²
Answer:
angle 3 = 60
Step-by-step explanation:
60-60-60 triangle rule
this triangle has 2 60 degree angles so it fits this rule
equilateral traingle
<u>or </u>
a triangle has a total of 180 degrees
so:
180-(60+60)
180-120
60