Answer: Length of arc = 12.6 cm
Step-by-step explanation:
CD is an arc. We would apply the formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter = 24 cm
Radius, r = diameter/2 = 24/2
Radius = 12 cm
θ = 60 degrees
Therefore,
Length of arc = 60/360 × 2 × 3.14 × 12
Length of arc = 12.6 cm rounded up to the nearest tenth.
Answer:
p + (45/100) p or 1.45 p
Step-by-step explanation:
LO bisects <MLP so
OM = OP
6x = 3x + 12
3x = 12
x = 4
OP = 3x + 12 = 3(4) + 12 = 24
OP = OM = 24
Answer:
4/3 sugar per ounce or decimal 1.333333333333....
Step-by-step explanation:
Simplify the following:
14/(10 + 1/2)
Put 10 + 1/2 over the common denominator 2. 10 + 1/2 = (2×10)/2 + 1/2:
14/((2×10)/2 + 1/2)
2×10 = 20:
14/(20/2 + 1/2)
20/2 + 1/2 = (20 + 1)/2:
14/((20 + 1)/2)
20 + 1 = 21:
14/(21/2)
Multiply the numerator of 14/(21/2) by the reciprocal of the denominator. 14/(21/2) = (14×2)/21:
(14×2)/21
The gcd of 14 and 21 is 7, so (14×2)/21 = ((7×2) 2)/(7×3) = 7/7×(2×2)/3 = (2×2)/3:
(2×2)/3
2×2 = 4:
Answer: 4/3
Your answer is 104 square inches because you have to find the area of the top rectangle by multiplying 12 x 7, then find the area of the bottom square by multiplying 5 x 4, and then add both answers together which equals 104 square centimeters ;)