Answer:
Sum of all three angles inside a triangle = 180°
Total number of parts = 3 + 10 + 7 = 20
Each part = 180 ÷ 20 = 9
Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .
Number of parts for ∠1 = 3 parts
∠1 = 3 × 9 = 27°
Number of parts for ∠2 = 10 parts
∠2 = 10 × 9 = 90°
Number of parts for ∠3 = 7 parts
∠3 = 7 × 9 = 63°
The three angles of this triangle measure 27° , 90° and 63° respectively
Measure of the smallest angle = 27°
Therefore , the measure of the smallest angle = 27° .
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
Simplifying both sides by 5
Question 2:
Simplifying both sides by 20
Simplifying by 3
Simplifying by 2
Question 3:
Simplifying both sides by 7
Simplifying both sides by 3
Question 4:
Question 5:
Simplifying by 2, both sides
Simplifying by 8, both sides
Answer:
0.667
Step-by-step explanation:
Angle in a circle = 360°
Area of total shaded parts = 60 + 60 = 120°
Area of total unshaded parts = 360-120 = 240°
Probability that a random selected point within the circle falls in the unshaded area
= 240/360
= 2/3
≈ 0.667
I apologize in advance if I made a mistake.
Solve for m:C = 1/3 π d^2 m
C = 1/3 d^2 m π is equivalent to 1/3 d^2 m π = C:1/3 π d^2 m = C
Divide both sides by (π d^2)/3:Answer: m = (3 C)/(π d^2)
