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Katen [24]
3 years ago
12

In a circle a radius 25 inches, a central angle of 35 degree will intersect the circle forming an arc of length

Mathematics
2 answers:
dem82 [27]3 years ago
7 0

Answer:

The arc length of the circle(l) is given by:

l = r \theta              ....[1]

where,

r is the radius of the circle

\theta is the angle in radian.

As per the statement:

In a circle a radius 25 inches, a central angle of 35 degree

⇒r = 25 inches

Use conversion:

1 degree = 0.0174533 radian

then

35 degree  = 0.6108655 radian

⇒\theta = 0.6108655 radian

Substitute these values in [1] we have;

l = 25 \times 0.108655 = 15.2716375 inches

Therefore, in a circle a radius 25 inches, a central angle of 35 degree will intersect the circle forming an arc of length of 15.27 inches

garri49 [273]3 years ago
3 0
Arc length = angle/360 * pi*diameter

Length = 35/360 * pi*50

Length = 15.27 inches
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Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o
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ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

\dfrac{1}{2} = \dfrac{1}{2}

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\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



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3 years ago
A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on
vichka [17]

There will be 72 flowers in total in the large arrangement.

Step-by-step explanation:

No. of red flowers in vase = 4

No. of white flowers in vase = 5

Ratio of red flowers to white flowers = 4:5

No. of red flowers in large arrangement = 32

No. of white flowers in large arrangement = w

Ratio of red flowers to white flowers = 32:w

Using proportion;

Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers

4:5::32:w

Product of extreme = Product of mean

4*w=32*5\\4w=160

Dividing both sides by 4

\frac{4w}{4}=\frac{160}{4}\\w=40

Total flowers in large arrangement = Red flowers + white flowers

Total flowers in large arrangement = 32 + 40 =72

There will be 72 flowers in total in the large arrangement.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/4228574
  • brainly.com/question/4279146

#LearnwithBrainly

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san4es73 [151]
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answer
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