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2 years ago

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Mathematics

1 answer:

AnnZ [28]2 years ago

4 0

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

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The rectangle below has an area of x^2+8x+15x

Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.

7 0

3 years ago

Please help me with this

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Both angles added together = 180 degrees. They both have a straight line as their base.

So let <ABC = x

Then <CBD = 3x Add the two angles

x + 3x = 180 Combine

4x = 180 Divide by 4

4x/4 = 180/4

x = 45

So 3x = 3*45 = 135

6 0

2 years ago

K divide by 6 + 8 = 5

VLD [36.1K]

Answer:

k= -18

Step-by-step explanation:

5 = (k/6) + 8 so 5-8 = k/6

-3=k/6 then -3 multiplied by 6 = k which is -18 = k

-18/6= -3

-3+8=5

5 0

3 years ago

I need help with this question can you help me

Debora [2.8K]

Answer:

28.26ft

Step-by-step explanation:

A=πr^2

π*3^2=28.27433

28.26

6 0

3 years ago

A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A wit

aliina [53]

Answer: All possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

Number of axles of type A = 2

Number of axles of type B = 9

After 2 hours, number of counts = 101

so, our equation becomes,

$2x+9y=101$

So, all possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

7 0

3 years ago