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3 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 20. What is the length of the arc?

Mathematics

2 answers:

seropon [69]3 years ago

7 0

Answer:

Step-by-step explanation:

1/3 pi

Ede4ka [16]3 years ago

5 0

Circumference of whole circle =
$\pi \times 3 \times 2$
360÷20=18
$\frac{1}{18} \times 6\pi = \frac{1}{3} \pi$
hence length of arc = 1/3 pi

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Please help find measure

AleksandrR [38]

Answer:

180- 148 = 32 (the measure of the angle thats supplementary to the exterior

180 - 56 -32 =92 (180 is the interior triangle angle sum, subtract the known angles to discover the unknown angle.

angle h = 92 degrees

Step-by-step explanation:

I hope this helped :)

5 0

3 years ago

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05 independently of every other amplifier. C

snow_lady [41]

Answer:

0.980

Step-by-step explanation:

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05

So, probability of success = 0.05

Probability of failure = 1-0.05=0.95

There are 12 amplifiers

We are supposed to find the probability that at most two will exceed 2dB.

We will use binomial distribution

Formula : $P(X=r)=^nC_r p^r q ^{n-r}$

p = 0.05

q = 0.95

n = 12

We are supposed to find the probability that at most two will exceed 2dB.

So, $P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)$

$P(X\leq 2)=^{12}C_0 P(0.05)^0 (0.95)^{12-0}+^{12}C_1 P(0.05)^1(0.95)^{12-1}+^{12}C_2 P(0.05)^2 (0.95)^{12-2}$

$P(X\leq 2)=\frac{12!}{0!(12-0)!} (0.05)^0 (0.95)^{12-0}+\frac{12!}{1!(12-1)!}(0.05)^1(0.95)^{12-1}+\frac{12!}{2!(12-2)!} (0.05)^2 (0.95)^{12-2}$

$P(X\leq 2)=0.980$

Hence the probability that at most two will exceed 2dB is 0.980

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3 years ago

What is the base length of a parallelogram with an area of 25.92 cm2 and a height of 3.6 cm?

leva [86]

<span>a. 93.312 cm

im sure thats the answer

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3 years ago

Explain how to solve 5d = 35

DENIUS [597]

Answer:

D=7

Step-by-step explanation:

SO isolate the variable y dividing 5 on both sides

d=7

6 0

3 years ago

Read 2 more answers

Find the slope, distance and midpoint between

Dovator [93]

Answer:

Slope- 4

Distance- 12.4

Midpoint- (6,8)

Step-by-step explanation:

Slope- $\frac{y2-y1}{x2-x1}$

$\frac{2-14}{4-7} =\frac{-12}{-3}=4$

Distance- $d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

$d = \sqrt{(4 - 7)^2 + (2-14)^2}$

$d = \sqrt{-3^2 + -12^2}$ $d = \sqrt{144+9}=\sqrt{153}$

$\sqrt{153} = 12.4$

Midpoint- $\frac{x1+x2}{2} ,\frac{y1+y2}{2}$

$\frac{7+4}{2} =\frac{12}{2} = 6=x$

$\frac{14+2}{2} = \frac{16}{2} = 8 = y$

(6,8)

6 0

3 years ago