Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
Answer:
b. Pearson's correlation can be used in the same way as it is for linear relationships
Explanation:
Pearson's correlation can also be termed "simple linear regression analysis" is a statistical measure used to determine if two numeric variables are significantly linearly related. Pearson's correlation coefficient is used to measures the statistical relationship or association between two continuous variables.
Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6