To take a root of a fraction, take the root of the numerator and denominator separately
Write the number in exponential form with a base of 2 to the second power
Write the number in exponential form with a base of 3 to the third power
Reduce the index of the radical and exponent with2
Reduce the index of the radical and exponent with 2
Then it’s gonna be 2/3 2over3
-3 2/3
Reduce the numbers with greatest common divisor 3
Then the answer will be -2
3 ft is equal to 36 inches, so they are the same length
Answer:
2x+5<-9
Step-by-step explanation:
multiply the number by 2 and add 5
Answer:
a. i. 3000 cm² ii. 220 cm b. 6 feet
Step-by-step explanation:
A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.
So, A = ¹/₂r²θ
= ¹/₂(50 cm)² × 2.4 rad
= ¹/₂ × 2500 cm² × 2.4 rad
= 1250 cm² × 2.4 rad
= 3000 cm²
ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r
substituting r and θ, we have
P = (2 + θ)r
= (2 + 2.4) × 50 cm
= 4.4 × 50 cm
= 220 cm
B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum = ½ radian and length of the arc swept = 3 feet, the radius is
r = L/θ
= 3 feet ÷ ½ rad
= 3 × 2
= 6 feet
0.875 US gallons i think this is the aswer