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Liono4ka [1.6K]
3 years ago
13

A bicycle tire has a radius of 15 inches. What is the circumference of the tire? Round to the nearest tenth

Mathematics
2 answers:
Alchen [17]3 years ago
5 0
C = 2\pi\ r where C = circumfrence, r = radius, and \pi\approx\ 3.14.

Plug in 15 for r (our radius).
C = 2\pi\times15

2 × 15 = 30
C = 30\pi

Use 3.14 for \pi.
C \approx 30\times3.14
C \approx 94.2
Scorpion4ik [409]3 years ago
3 0
To find the circumference of a circle, we use the formula
C = πd
The diameter is always double the radius
15 x 2 = 30 inches
C = 30 x π
30π = 94.277796...

To round to the nearest 10th, we look at the number after the tenth decimal place
94.2477796
If it is 5 or above, we round up
If it is 4 or less, we round down
4 < 5 therefore we round down

94.2 inches
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Write a reclusive rule for the sequence, then give the next two numbers in the sequence 6,1,7,8,15,23
vlabodo [156]

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

5 0
3 years ago
Height versus age.
LenaWriter [7]
So basically the height is divided by a certain number to evenly divide it
8 0
3 years ago
The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
VARVARA [1.3K]


Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

Substitute the known values into the formula:

x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

Simplify:

<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>

<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>

<span>x√10=√[2x(x)(x-1)(1)]</span>

<span>x√10=√[2x²(x-1)]</span>

<span>x√10=√(2x³-2x²)</span>

<span>10x²=2x³-2x²</span>

<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
48. A map is drawn to a scale of 1cm to represent 50km. If the actual distance between two villages is 480km, what is the distan
lana66690 [7]

Set up a ratio:

1/50 = x/480

Cross multiply:

50x = 480

Divide both sides by 50:

X = 9.6

The distance on the map is 9.6 cm

5 0
3 years ago
14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals S
DiKsa [7]

Answer:

p = 11.2

Step-by-step explanation:

The computation is shown below:

Data provided in the question

2.6(5.5p – 12.4) = 127.92

Now

Distributive Propertyis

14.3p - 32.24 = 127.92

Addition Property is

14.3p = 127.92 + 32.24

Division Property is

14.3p ÷ 14.3 = 160.16 ÷ 14.3

p = 11.2

We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered

8 0
3 years ago
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