The radius is 4.9 and the Circumference is 9.8π
Step-by-step explanation:
<u>Data:</u>
Diameter = 9.8
Circumference = ?
Radius = ?
<u>Radius</u>
Radius is half of the diameter so radius = 
Radius = 
Radius = 4.9
<u>Circumference</u>
Circumference = 2πr
Circumference = 2π(4.9)
Circumference = 9.8π
Therefore, the radius is 4.9 and the Circumference is 9.8π
Keywords: Circumference
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Answer:
6.7 cm
Step-by-step explanation:
To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...
B = 180° -82° -55° = 43°
Now, you put the numbers you know into the formula given and solve for b.
sin(A)/a = sin(B)/b
sin(55°)/(8 cm) = sin(43°)/b
Cross multiplying gives ...
b·sin(55°) = (8 cm)·sin(43°)
and dividing by the coefficient of b gives you ...
b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm
Answer:
3/8 + 1/4 is 5/8 and 1/10+4/5 is 1
Step-by-step explanation:
convert 1/4 to 2/8 and add to 3/8 to get 5/8
convert 4/5 to 9/10 and add to 1/10 equals 10/10 which is also 1
Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.
Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.
Answer is C
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
