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mariarad [96]
3 years ago
14

Use the above figure to answer the question. How long is arc ACB if the radius of the circle is 6? Round your answer to two deci

mal places.
A. 18.86
B. 25.13
C. 6.29
D. 12.57

Mathematics
1 answer:
Greeley [361]3 years ago
5 0
AOB (Major) = 360 - (60+60) = 240°

Length of arc =
\frac{Angle\: subtended \:by \:arc}{360} \times 2 πr \\ \frac{240}{360} \times 2 \times \frac{22}{7} \times 6 \\ \frac{2}{3} \times 2 \times \frac{22}{7} \times 6 \\ \frac{24 \times22 }{21} \\ = 25.14

Answer will be B. 25.13 as this is very close to our answer.
You might be interested in
Express {x+1}{2x-3} as a trinomial.
Marizza181 [45]

Answer:

2x^2 + 5x + 3

Step-by-step explanation:

First, expand the original equation:

(x + 1)(2x + 3)

2x^2 + 3x + 2x + 3

Now simplify:

2x^2 + 5x + 3

And that's your answer!

6 0
3 years ago
A rectangular prism has dimensions of 1/3, 3, and 5/3 in.
julsineya [31]

Answer:

Step-by-step explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in

5 0
3 years ago
I need to know the answer
Elan Coil [88]
The mistake is n third line  - adding 3w
96 + 2w =2(80 - 3w)
96 + 2w = 160 - 6w
        + 6w           + 6w
96 + 8w  = 160
 - 96              -96
8w = 64
w = 8   weeks answer
8 0
3 years ago
Just need someone to check my answer
mixas84 [53]
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.

Explanation:
The first thing we do is raise the last monomial to the third power.

(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).

Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).

We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
3 0
3 years ago
Read 2 more answers
The point A(5.
NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0
2 years ago
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