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mel-nik [20]
3 years ago
5

A circle with circumference 6 has an arc with a 60° central angle.

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

length of an arc = 1unit

Step-by-step explanation:

given that the circumference of a circle = 6

central angle = 60

length of the arc =?

recall that the circumference of a circle = 2πr

6 = 2πr

r = 6/2π

now to calculate the length of an arc

recall,

length of an arc = 2πr(Ф/360)

length of an arc = 2π(6/2π) × 60/360

length of an arc = 6 × 60/360

length of an arc = 360/360

length of an arc = 1unit

therefore the length of the arc whose circumference is 6 and arc angle is 60° is evaluated to be 1unit

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Yes, of course you can! 
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CAn you help me with ratios? Mrs. Sturkie mixed 3 quarts of blue paint and 2 quarts of red paint to make purple paint to her cla
fredd [130]
So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
3 0
3 years ago
A salesperson makes 18% commission on every TV sold. If the salesperson sold four TV’s at $885 each, how much commission did the
Levart [38]

Answer:

They made a $531 commission.

Step-by-step explanation:

The given is:

  • The price of each TV is $885
  • The commission is 18% on every TV sold
  • The salesperson sold 4 TV's

We need the value of the commission

Let us find the commission of every TV, then find the total amount of all

∵ The price of each TV is $885

∵ The commission is 18 %

→ Find 18% of $885

∴ The commission on every TV = 885 × 15%

∴ The commission on every TV = 885 × 15/100

∴ The commission on every TV = $132.75

∵ The salesperson sold 4 TV

∴ The commission on them = 4 × 132.75

∴ The commission on them = $531

They made a $531 commission.

5 0
3 years ago
The number which is 3.6 less than -4.7
krok68 [10]
8.3 should be the answer
5 0
3 years ago
CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
nignag [31]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
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