Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>
Hi there, a²/3=1/3a², Therefore, the answer is 1/3a²
Answer:
20
Step-by-step explanation:
1. First simplify 8a + 4 then substitute a=2 so 8(2) + 4 = 16+4=20
Now you try the rest
<span>Curtis wants to build a model building.
The building height is 180 meter tall.
Now, the model building she wants to build is equals to 1.5cm on each 3.5
meters
Let’s find how tall Curtis’ building model is:
=> 180 meter / 3.5 meter
=> 51.429 meter
Now, let’s multiply this 1 by 1.5 cm
=> 51.429 x 1.5 cm
=> 77.143 centimeters
Round to the nearest tenths
=> 77.1 centimeter tall => the height of Curtis’ Model Building
</span>