Multiply powers with the same base : a^b * a^c = a^(b + c)....so basically, u keep the bases and add the exponents.
dividing powers with the same base : (a^b) / (a^c) = a^(b - c)....so basically, u keep the base and subtract the exponents
raising a power to a power : (a^b)^c = a^(b * c)...so basically, u multiply the exponents
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>
Answer: 33.9
Reasoning: This is due to it just being tan(72) x 11 which would give you 33.8545... but using that you would just round it up to get 33.9
Answer:
I do not know what is congruent here, but if it is the sides that are congruent then that statement is true, but if the angles are equal then that statement is false.
Answer:
-15.12 + 3 7/20 - 8 = -19.77
Step-by-step explanation:
First convert mixed numbers into fractions.
3 7/20 = 67/20<u>(If you'd like steps on how to turn mixed numbers into fractions please ask in comment box)</u>
-15.12 + 3 7/20 - 8 = -15.12 + 67/20 - 8
<em>Subtract the numbers -15.12 - 8 = -23.12</em>
-15.12 + 67/20 - 8 = 67/20 - 23.12
<em>Turn the fraction into a decimal</em>
67/20 - 23.12 = 3.35 - 23.12
<em>Add the numbers</em>
3.35 - 23.12 = -19.77
hope this helped