Radius of a bicycle tire is 11 inches. It is required to find the distance traveled by the distance covered by the tire when it makes 7 revolutions. One revolution means the circumference of circle. So,

$C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}$

In 7 revolution, it will cover a distance of 7C i.e.

$C=69.08\times 7\\\\C=483.56\ \text{inches}$

So, the tire will cover a distance of 483.56 inches in 7 revolutions

8 0

3 years ago

The standard coffee mug has a capacity of 16 fluid ounces

kompoz [17]

1 cup is equal to 16 fl

5 0

2 years ago

Find the equation of the line passing through(1,2) and making an angle of 30 degree with y intercept

olya-2409 [2.1K]

Answer:

Equation of the straight line passing through the point ( 1,2 ) and having the slope

x - √3y -1+2√3 =0

Step-by-step explanation:

Step(i):-

Given that the point (1,2) and an angle = ∝ = 30°

The slope of the line

m = tan 30°

$m = \frac{1}{\sqrt{3} } }$

Step(ii):-

Equation of the straight line passing through the point ( 1,2 ) and having the slope

$m = \frac{1}{\sqrt{3} } }$

y - y₁ = m(x-x₁)

y - 2 = $\frac{1}{\sqrt{3} } }$ ( x -1)

√3(y-2) = (x-1)

⇒ √3y - 2√3 = x -1

x - √3y -1+2√3 =0

4 0

2 years ago