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4 years ago

An arithmetic sequence is given below

Mathematics

1 answer:

Brut [27]4 years ago

4 0

The answer is
$a(n) = - 3n + 22$

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. The ratio of the area of circle A to the area of circle B is 12/5. What is the ratio of their circumferences?

N76 [4]

Answer:

1.5

Step-by-step explanation:

a : b = 1 : 12/5

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius

Let the radius of circle a = 1

Area of circle A = 1π

Radius of circle A = square root of 12/5 = 1.5

The circumference of a circle = 2nr

n = 3.14

circumference of circle A = 2 x n x 1 = 2n

circumference of circle B = 2 x n x 1.5 = 3n

ratio of circumference = 3n / 2n = 1.5

4 0

3 years ago

2. A triangular prism has a base area of 27 square inches and a height of 13 inches. What is the

guajiro [1.7K]

Answer:

A.)351 cubic inches

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

Volume of the prism is

= Base × height

= 27 square inches × 13

= 351 cubic inches

hence, the first option is correct

And, the rest of the options are wrong

5 0

3 years ago

6m-2 = m+13 how do i solve it

kakasveta [241]

First move the terms to get
6m-m=13+2
Then collect the like terms and calculate the sum, 5m=15
Divide both sides by 5
And you get m=3

4 0

3 years ago

Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F

Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran $3\frac{1}{2}$ laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find : About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle : $2\pi r$

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

$2\pi *0.25$

$0.5\pi$

Since $\pi =3.14$

⇒ $0.5*3.14$

⇒ $1.57$

Thus the circular track is of 1.57 miles .

Since she ran $3\frac{1}{2}$ = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence , Francine run 5.495 miles

6 0

3 years ago

Which expression represents the phrase 5 less than a number

Murrr4er [49]

Answer:

$n-5$

Step-by-step explanation:

Let

n ------> a number

we know that

The algebraic expression that represent the phrase"5 less than a number" is equal to subtract 5 from the number or a number minus 5

$n-5$

4 0

3 years ago