What is the radian measure of central angle AOB in the circles? Write down the answer in the lowest terms

Mathematics

1 answer:

Katena32 [7]2 years ago

5 0

5pi/12 radians

The arc measure is 75, so theta must also be the same. if theta is 75, and 75 in radians is 5pi/12 radians, then the answer is that.

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Valerie, a member of the track team, runs 100 yards in 12 seconds. How fast is she moving in feet per minute?

Alchen [17]

Answer:

1500ft

Step-by-step explanation:

Ight so 60/12 is 5. So then you'd multiply 100 by 5 to get 500, therefore she is moving 500 yards per minute.

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3 years ago

Fran cycles at a speed of 5.3 m/s for 5 minutes. How far does she travel?

chubhunter [2.5K]

Step-by-step explanation:

In 1 second Fran cycles 5.3 m.

So we need to work out how many seconds is in 5 minutes.

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3 years ago

write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o

Liula [17]

We know that $y = x^2$ is a parabola, concave up, with vertex in the origin $(0,0)$

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

The horizontal line $y = 4$ intercepts the parabola twice: the system $y = x^2,\ y = 4$ is solved by $x^2=4 \implies x = \pm 2$
The horizontal line $y=0$ intercepts the parabola only once: the system is $y=x^2,\ y=0$ which yields $x^2=0\implies x=0$ which is a repeated solution
The horizontal line $y=-5$ intercepts the parabola only once: the system is $y=x^2,\ y=-5$ which yields $x^2=-5$ which is impossible, because a squared number can't be negative.