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4 years ago

Calculate the length of an arc

1 answer:

3 0

Easy peasy
remember that the arc is a part of the perimiter of the circle aka circumference
also 360 degrees=circle

we are given the radius
calculate circumference
c=2pi times r
r=14
c=pi times 2 itimes 14
c=28pi

100 degrees is the arc

find what fraction of the circumferece thei srepresents
whole=360
100/360=10/36=5/18
so if circumference=28pi then multiply 5/18 by that
5/18 times 28pi=140pi/18=70pi/9
legnth=(70pi)/9 cm
if you were to aprox pi to 3.14 then the answer would be
24.4222222 cm

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What is the percent of $12 off $48

Alinara [238K]

Percent means per one-hundred....

48(p/100)=12

48p=1200

p=25%

So $12 off of a $48 item is 25% off.

8 0

3 years ago

Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on th

grigory [225]

Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

Analysing the question one statement at a time.

Before the face with 3 is loaded to be twice likely to come up.

The sample space is:

$S = \{1,1,2,2,2,3\}$

And the probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{6}$

$P(1) = \frac{1}{3}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{6}$

$P(2) = \frac{1}{2}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{6}$

P(Odd Number) is then calculated as:

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{6}$

$P(Odd\ Number) = \frac{3}{6}$

$P(Odd\ Number) = \frac{1}{2}$

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

$S = \{1,1,2,2,2,3,3\}$

The probability of each is:

$P(1) = \frac{n(1)}{n(s)}$

$P(1) = \frac{2}{7}$

$P(2) = \frac{n(2)}{n(s)}$

$P(2) = \frac{3}{7}$

$P(3) = \frac{n(3)}{n(s)}$

$P(3) = \frac{1}{7}$

$P(Odd\ Number) = P(1) + P(3)$

$P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}$

Take LCM

$P(Odd\ Number) = \frac{2+1}{7}$

$P(Odd\ Number) = \frac{3}{7}$

Comparing P(Odd Number) before and after

$P(Odd\ Number) = \frac{1}{2}$ --- Before

$P(Odd\ Number) = \frac{3}{7}$ --- After

<em>We can conclude that the change to the face 3 affects the value of P(Odd Number)</em>

7 0

3 years ago

The function g is defined by g(x)= 3x2 - 3.<br> Find g(3z).

vagabundo [1.1K]

=3(3z)2-3
=3(9z2)-3
=27z^2-3
=3(9z^2-1)
=3(3z+1)(3z-1)

5 0

3 years ago

Becky is rolling a number cube with the number 1 through 6 what is the probability she will roll a 4 or 5

ryzh [129]

1/6 since there are 6 sides, therefore, there is a 1/6 chance that any number will be rolled

8 0

3 years ago

Read 2 more answers

Candle food is on sale for 20% of the original price what is the discount of the key if the original price is $1.35

Evgesh-ka [11]

Hi there!

To calculate a discount or a mark-up in the price of a retail item, you need to multiply the given price of the item by the percentage, like so:

1.35 × 0.2 = 0.27

Then you add or subtract as necessary. In your case you would subtract since you are trying to find a discount price.

1.35 - 0.27 = 1.08

So the final price of the product after the discount is $1.08

Your friend, ASIAX

5 0

3 years ago