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Sergio [31]
2 years ago
7

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Mathematics
1 answer:
Artist 52 [7]2 years ago
7 0

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

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What is (x)=8.00+0.20x
monitta

Answer:

x=10


Step-by-step explanation:


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2 years ago
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vinny invested $25,000 in an account that earns 4.25% simple interest. if vinny doesn't make any additional deposits or withdraw
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He will have $34,562.50 in his account after 9 years.
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2 years ago
Write down the first 6 elements of the following sequence (where n ∈ Z+), then give a recursive definition for an. Do not forget
Sonbull [250]

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

5 0
3 years ago
Which of the following represents the factorization of
JulijaS [17]
D. (5x + 8y)(5x - 8y)
6 0
3 years ago
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Ellen can purchase 5 apples for $1.75. How many apples can she get for $1?
Romashka-Z-Leto [24]

Answer:

2 apples

Step-by-step explanation:

  1. 1.75 ÷ 5 = 0.35
  2. 1 ÷ 0.35 = 2.85
  3. 2.85 rounded = 2

I hope this helps!

6 0
2 years ago
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