5: AA 47=47 36=36 similar
6: SSS 32/16 =2, 24/12 =2, 9/4.5 = 2 similar
7: SAS 72/53= 1.3, 55=55, 48/12 = 4 not similar
8: SAS 45/15= 3, 54=54, 9/3=3 Similar
9.SAS 20/10 =2, 10/8 = 1.25 not similar
10.SAS 32/14= 2.29, 46=46, 12/7= 1.79 not similar
Answer:
θ ≈ 40°
Step-by-step explanation:
Since, sinθ = 
cosθ = 
tanθ = 
In the picture attached,
Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.
tanθ = 
θ = 
θ = 39.56
θ ≈ 40°
Answer:
4.4
Step-by-step explanation:
The sum of the probabilities of all possible outcomes is 1.
As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.
Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

Add a product row and a totals column:

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).
The expected value (EV) is the sum of the product of each outcome and its probability.
Therefore, the expected value (EV) of this die is 44/10 = 4.4
Area of the quarter sector
Area of the entire circle = pi * r^2
Area of the quarter circle = pi r^2 / 4
r = 9
Area of the quarter circle = pi 9^2 / 4
Area of the quarter circle = pi 81/4 = 20.25 pi
Area of the triangle
Area pf the triangle = 1/2 b*h
b = h = r
r = 9
Area of the triangle = 1/2 9 * 9
Area of teh triangle = 1/2 81
Area of the triangle = 40.5
Area of the shaded area
The shaded area = Area of the 1/4 circle - area of the triangle
The shaded area = (20.24 pi - 40.5)ft^2
A <<<<<< Answer.
80% of 10% = 0.8 x 10% = 8%