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zimovet [89]
3 years ago
8

A circle with circumference 18 has an arc with 120 central angle

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Answer:

Arc length of circle with circumference 18 and an arc with a 120° central angle is:

6

Step-by-step explanation:

The arc length of a circle is given by:

Here, circumference=18

i.e. 2πr=18

and

Arc length=

Hence, Arc length of circle with circumference 18 and an arc with a 120° central angle is:6

Hope that was helpful.Thank you!

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What are the first four terms in the sequence Tn=4n+9?
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Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

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2 years ago
Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 1
liubo4ka [24]

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)=  89/102= 0.8725

c) P (A`) =  14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

                                                                   edge                  

                                                  finish excellent       good           Total

<u>(A )surface finish excellent            84                      4                  88</u>

good                                    ( B) ⇵    5                       9                  14

Total                                               89                      13                102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)=  89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) =  14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

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Answer:

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A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?
MAXImum [283]

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

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square root s^2 = square root (200)

You  should use a calculator to find the square root of 200

√

200

=

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

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