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3 years ago

If the radius of a circle with center 0 is 15.5, and the measure of angle AOB is 90, what is the length of arc AB?

Mathematics

1 answer:

Zina [86]3 years ago

3 0

The circumference of the circle is found using the formula C = 2 PI r

Circumference = 2 *PI * 15.5 = 31pi

The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).

The arc length would be 1/4 of the circumference:

Arc length = 31pi / 4 = 7.75PI

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Answer:

Step-by-step explanation:

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let number of hours be h

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A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

saul85 [17]

Answer:

Option D. 3 + 9i

Step-by-step explanation:

We know that the formula to find the middle point is:

$(\frac{x_1 + x_2}{2},\frac{z_1 + z_2}{2})$

We know that the middle point is:

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And the end point $(x_2, z_2)$ is: $-5 -7i$

We wish to find the point $x_1,z_1$

So we can write the following equation

$\frac{x_1 + (-5)}{2} = -1$ (i)

and

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Now we clear $x_1$ from equation (i) and clear $z_1$ from equation (ii)

For equation (i) we have:

$-2 = x_1 -5 \\\\x_1 = 3$

For equation (ii) we have:

$2i = z_1 -7i\\\\z_1 = 9i$

Then the initial point $x_1, z_1$ is: $3 + 9i$

The correct answer is the last option 3 +9i

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3 years ago

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astraxan [27]

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Step-by-step explanation:

2x² - 6x + 10 = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

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Now we remove 5 to the other side of the equation

x² - 3x = -5

we add to both side square of half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)² = -5 + (⁻³/₂)²

(x - ³/₂)² = -5 + ⁹/₄

Resolve into fraction

(x - ³/₂)² = ⁻¹¹/4

Take the roots of the equation

x - ³/₂ = √¹¹/₄

x - ³/₂ = √11/₂

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3 years ago

Please help<br>Find the unknown radius of the circle. A measures 628 sq cm find r

stira [4]

Answer:

14.14 cm

Step-by-step explanation:

The formula for the area of a circle is : $\pi *radius^2$

In order to find the radius you would first have to divide the area of 628 by pi, this gives you 200. This is because by dividing the area by pi it will leave us with the radius squared.

The next step is to find the square root of 200, this gives us 14.14. This is because by finding the square root it will leave us with the radius. The square root is another number that when multiplied by itself equals the number.

1) Divide 628 by pi.

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2) Find the square root of 200.

$\sqrt{200}=14.14$

Pi as in 3.14

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