Answer:
23.9 m
Step-by-step explanation:
The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle. Using Pythagorean theorem:
c² = a² + b²
c² = 3² + 7²
c = √58
The circumference of the circle is pi times the diameter.
C = π√58
C ≈ 23.9
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
Angle 1= 180-111 =69 degree
angle 2=1 so ,69 degree(vertically oppsite angle)
angle 3= 180-111= 69 degrees(corresponding angle to 111 degree)
angle angle 6 =108 (vertically opposite angle)
angle 4 =108(corresponding angle)
angle 5=180-108 =72 (alternate angle)
I believe the correct answer from the choices listed above is the second option. The <span>Domain are All real numbers and the Range are All real numbers greater than 3. Hope this answers the question. Have a nice day.</span>
Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.
We now have our equation:
x + x + 1 = 53
Now solve for x.
x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26
So, the first number is 26 and the second number is 27.
