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2 years ago

Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s.

Mathematics

1 answer:

nika2105 [10]2 years ago

5 0

Answer:

42.02 ft

Step-by-step explanation:

60 : 360 = 44 : x

x = 264 ft (length of the circumference)

C = 2 * radius * pi

radius = C / 2 * pi

Radius = 264 / 2 * pi = 42,016905 ft

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Write (-3, -5) (-1, -19) in point slope form

stiv31 [10]

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find Slope

m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{-19 - (-5)}{-1 - (-3)}$

m = $\frac{-19 + 5}{-1 + 3}$

m = $\frac{-14}{2}$

m = -7

Step 2: Put into point slope form

Point Slope Form: (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

8 0

3 years ago

How do you solve the equation 7^(7n+7)=2,401

RoseWind [281]

7^(7n + 7) = 2401
apply log on both sides to solve the equation
log 7^(7n + 7) = log 2401
the power is brought forward
(7n + 7) log 7 = log 2401
7n +7 = log 2401 / log 7
7n + 7 = 4
7n = -3
n = -3/7

Hope it helped!

5 0

2 years ago

The AAA system contains 3 independent components in parallel, each with probability of failure 0.4. Find the expected number of

Gre4nikov [31]

Answer:

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not. The components are independent. We want to know how many outcomes until r failures. The expected value is given by

$E = \frac{r}{p}$

In which r is the number of failures we want and p is the probability of a failure.

In this problem, we have that:

r = 1 because we want the first failed unit.

$p = 0.4[\tex]So[tex]E = \frac{r}{p} = \frac{1}{0.4} = 2.5$

The expected number of systems inspected until the first failed unit is 2.5

8 0

3 years ago

the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees c

dsp73

Answer:

x = 28 (So it takes 28 hours for the temperature to reach 0°C.)

y = -70 (So the temperature when the experiment begins is −70°C.)

Step-by-step explanation:

To find the the x value, you remove the y value or replace it with 0.

0 = 5/2x - 70

Next you move the variable.

70 (2/5) = x (multiply 70 by 2 to get 140 and divide that by 5)

And now you simplify to get:

To find the y value, you remove the x value or replace it with 0.

y = 0 - 70

And now you simplify to get:

-70

x = 28

y = -70

7 0

2 years ago

Read 2 more answers

Represent each sum as a single rational number. 7 + (1/9)

Nady [450]

Answer:

Do u have a picture of it

Step-by-step explanation:

5 0

3 years ago