All categories

3 years ago

Find the exact (leave pi) and the approximate ( pi = 3.14 ) circumference for each circle

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

Answer/Step-by-step explanation:

a. Circumference (C) = πd

d = 12 cm

π = 3.14

Exact value of C = π*12 = 12π cm

Approximate value of C = 12*3.14 = 37.68 cm

b. Circumference (C) = πd

d = 8 m

π = 3.14

Exact value of C = π*8 = 8π m

Approximate value of C = 8*3.14 = 25.12 m

c. Circumference (C) = πd

d = 6 km

π = 3.14

Exact value of C = π*6 = 6π km

Approximate value of C = 6*3.14 = 18.84 km

d. Circumference = πd

d = 9 ft

π = 22/7

Exact value of C = π*9 = 9π ft

Approximate value of C = 9*22/7 = 28.2857143 ≈ 28.29 ft (nearest hundredth)

e. Circumference = 2πr

r = 4 mm

π = 22/7

Exact value of C = 2*π*4 = 8π mm

Approximate value of C = 2*22/7*4 = 25.1428571 ≈ 25.14 mm (nearest hundredth)

f. Circumference = 2πr

r = 7 mi

π = 22/7

Exact value of C = 2*π*7 = 14π mi

Approximate value of C = 2*22/7*7 = 44 mi (nearest hundredth)

You might be interested in

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among

jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(d) The event is not unusual.

Step-by-step explanation:

Let X = number of households watching the show.

The probability of the random variable x is, P (X) = p = 0.18.

The sample selected for the survey is of size, n = 14

The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.

The probability of a Binomial distribution is computed using the formula:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

$P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062$

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-0.062\\=0.938$

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

$={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253$

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0

4 years ago

Which statement is true?

natka813 [3]

Every square is a rectangle because it is a quadrilateral with all four angles right angles.

7 0

3 years ago

Please help me 19 points for whoever answers number 3

Nastasia [14]

15%

amount error is guess subtract actual amount 198-172 = 26
26/172 = 0.15
0.15 x100 = 15%

7 0

3 years ago

Read 2 more answers

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago

Hi can someone PLEASE explain this to me i’m STRUGGLING

faltersainse [42]

Answer:

x = 80

Step-by-step explanation:

In a quadrilatoral the interior angle sum always adds up to 360 degrees so to find x you would add all of the interior angle sums and subtract that from 360

115 + 95 + 70 + x = 360 just add the like terms

280 + x = 360 now subtract 280 from both sides so x is alone and you can figure out its value

x= 80

4 0

3 years ago

Read 2 more answers