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2 years ago

15

In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.

1 answer:

jolli1 [7]2 years ago

4 0

The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.

We are given the following:

Radius (r) = 3 units

Reference angle (∅) = 46°

Plug in the values into the length of arc formula:

Length of arc = 46/360 × 2π(3)

Length of arc = 2.41 units.

Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

Learn more about length of arc on:

brainly.com/question/2005046

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Find a decomposition of a=⟨−5,−1,1⟩ into a vector c parallel to b=⟨−6,0,6⟩ and a vector d perpendicular to b such that c+d=a.

dezoksy [38]

The projection of vector A <em>parallel</em> to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A <em>perpendicular</em> to vector B is $\langle -2, -1, -2\rangle$ .

In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A <em>parallel</em> to vector B is defined by this formula:

$\vec a_{\parallel , \vec b} = \frac{\vec a \,\bullet\,\vec b}{\|\vec b\|^{2}}\cdot \vec b$ (1)

Where $\|\vec b\|$ is the norm of vector B.

And the projection of vector A <em>perpendicular</em> to vector B is:

$\vec a_{\perp, \vec b} = \vec a - \vec a_{\parallel, \vec b}$ (2)

If we know that $a = \langle -5, -1, 1 \rangle$ and $\vec b = \langle -6, 0, 6 \rangle$ , then the projections are now calculated:

$\vec a_{\parallel, \vec b} = \frac{(-5)\cdot (-6)+(-1)\cdot (0)+(1)\cdot (6)}{(-6)^{2}+0^{2}+6^{2}} \cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \frac{1}{2}\cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \langle -3, 0, 3\rangle$

$\vec a_{\perp, \vec b} = \langle -5, -1, 1 \rangle - \langle -3, 0, 3 \rangle$

$\vec a_{\perp, \vec b} = \langle -2, -1, -2\rangle$

The projection of vector A <em>parallel</em> to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A <em>perpendicular</em> to vector B is $\langle -2, -1, -2\rangle$ .

We kindly invite to check this question on projection of vectors: brainly.com/question/24160729

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3 years ago

Are any of the places shown in the table closer than 1/2 mile to school

gayaneshka [121]

It's really hard to tell for anyone who can't see the table.
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4 years ago

Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.

stich3 [128]

Answer:

Blue paint: 1, 2, 2.8, 10

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Step-by-step explanation:

constant of proportionality: 2.5

2.5x = y

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3 years ago

What is the best approximation for the area of this circle? Use 3.14 to approximate pi. 25.1 in² 50.2 in² 201.0 in² 803.8 in² Ci

Greeley [361]

Answer:

The best approximation is $201.0\ in^{2}$

Step-by-step explanation:

we know that

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3 years ago

Read 2 more answers

I need someone to explain this to me. I don’t understand it at all. :(

UkoKoshka [18]

I don’t understand this either ask the teacher

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3 years ago