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icang [17]
3 years ago
10

A circle has a circumference of 1,133.54 units.What is the diameter of the circle?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

361 units

Step-by-step explanation:

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Caroline wants to buy a pair of shoes that has an original price of $40.00. She has a coupon for a 30% discount off of the origi
fredd [130]
Answer:
$26.32

step-by-step explanation:
it originally was $40.00
she has a coupon for 30%
30% of 40.00 is 12
40 • 0.30 = 12
40 - 12
$28
it is now $28 after the coupon
her state charges an 6% sales tax on the discounted price
6% of 28 is 1.68
28 • 0.06 = 1.68
28 - 1.68 = 26.32
6 0
3 years ago
A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Alexander grabs the ladder at its base and
lana66690 [7]

Answer:

The answer would be 10.8

Step-by-step explanation:

By finding the missing base side on the original triangle (which is 18), we add 10 to that number to find the base side on the second triangle. We can then use the equation "sin(21.04) = x/30" to find the missing length side (21.04 is the degree measurement).

Hope this helps :)

4 0
2 years ago
Read 2 more answers
The number of pastries produced by a bakery can be represented by
antiseptic1488 [7]

Answer:

where are the others

Step-by-step explanation:

is there supposed to be other numbers?

3 0
3 years ago
Help please with number 11
Jobisdone [24]

Answer:

No

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

3 0
3 years ago
Read 2 more answers
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