Please help me out with this

Mathematics

2 answers:

IRINA_888 [86]3 years ago

7 0

Answer:

Step-by-step explanation:

central angle with arc of <y is 96

so circumference angle 48

Afina-wow [57]3 years ago

6 0

Answer:

y = 48°

Step-by-step explanation:

The angle on the circle ( the inscribed angle ) y is half of the central angle subtended by the same arc on the circle, hence

y = 0.5 × 96° = 48°

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Mandarinka [93]

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So,

Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.

6 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.

34kurt

<u>Answer:</u>

○ $y = \frac{1}{4}x - \frac{1}{2}$

<u>Step-by-step explanation:</u>

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$