1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
2 years ago
6

PLEASE HELP. WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Mathematics
1 answer:
lozanna [386]2 years ago
6 0
Are of shaded region = area of circle - area of segment
= \pi {r}^{2}  - ((\alpha  \div 360) \times \pi \times  {r}^{2} )
= \pi {r}^{2} (1 -  \alpha  \div 360)
r = 8.35 \\  \alpha  = 100
= 158.1666....
rounding \: up
area \: of \: shaded \: region \:  = 158.2 \: \: square ft
You might be interested in
Can somebody explain how these would be done? The selected answer is incorrect, and I was told "Nice try...express the product b
trapecia [35]

Answer:

Solution ( Second Attachment ) : - 2.017 + 0.656i

Solution ( First Attachment ) : 16.140 - 5.244i

Step-by-step explanation:

Second Attachment : The quotient of the two expressions would be the following,

6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi \:}{5}\right)\right] ÷ 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]

So if we want to determine this expression in standard complex form, we can first convert it into trigonometric form, then apply trivial identities. Either that, or we can straight away apply the following identities and substitute,

( 1 ) cos(x) = sin(π / 2 - x)

( 2 ) sin(x) = cos(π / 2 - x)

If cos(x) = sin(π / 2 - x), then cos(2π / 5) = sin(π / 2 - 2π / 5) = sin(π / 10). Respectively sin(2π / 5) = cos(π / 2 - 2π / 5) = cos(π / 10). Let's simplify sin(π / 10) and cos(π / 10) with two more identities,

( 1 ) \cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos \left(x\right)}{2}}

( 2 ) \sin \left(\frac{x}{2}\right)=\sqrt{\frac{1-\cos \left(x\right)}{2}}

These two identities makes sin(π / 10) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, and cos(π / 10) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}.

Therefore cos(2π / 5) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, and sin(2π / 5) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}. Substitute,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]

Remember that cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting those values,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[0-i\right]

And now simplify this expression to receive our answer,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[0-i\right] = -\frac{3\sqrt{5+\sqrt{5}}}{4}+\frac{3\sqrt{3-\sqrt{5}}}{4}i,

-\frac{3\sqrt{5+\sqrt{5}}}{4} = -2.01749\dots and \:\frac{3\sqrt{3-\sqrt{5}}}{4} = 0.65552\dots

= -2.01749+0.65552i

As you can see our solution is option c. - 2.01749 was rounded to - 2.017, and 0.65552 was rounded to 0.656.

________________________________________

First Attachment : We know from the previous problem that cos(2π / 5) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, sin(2π / 5) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}, cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting we receive a simplified expression,

6\sqrt{5+\sqrt{5}}-6i\sqrt{3-\sqrt{5}}

We know that 6\sqrt{5+\sqrt{5}} = 16.13996\dots and -\:6\sqrt{3-\sqrt{5}} = -5.24419\dots . Therefore,

Solution : 16.13996 - 5.24419i

Which rounds to about option b.

7 0
3 years ago
36-3•4<br><br> 15-9 Divided by three
matrenka [14]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
ehidna [41]

Answer:  1) 0.10

               2) 0.60

               3) 0.20

               4) 0.10

<u>Step-by-step explanation:</u>

The total frequency is 20+120+40+20 = 200.  This means they ran the experiment 200 times.  The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right]

6 0
3 years ago
The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a
Lisa [10]

Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

E(x) = 0.36x + 15.9

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

E(x) < 17

0.36x + 15.9 < 17

0.36x < 1.1

x < \frac{1.1}{0.36}

x < 3.06

3.06 = 1980 + 3 = 1983. So

In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

E(x) > 20

0.36x + 15.9 > 20

0.36x > 4.1

x > \frac{4.1}{0.36}

x > 11.38

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

4 0
2 years ago
Which equation can be used to solve for x in the triangle below?
belka [17]

Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.

<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>

The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))

Given the following:

  • c = x = ?
  • a = 4.0 cm
  • b = 4.7 cm
  • C = 41°

Plug in the values:

x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))

x ≈ 3.1 cm

Learn more about the cosine rule on:

brainly.com/question/23720007

#SPJ1

4 0
1 year ago
Other questions:
  • Using the parkland formula, calculate the hourly rate of fluid replacement with lactated ringerâs solution during the first 8 ho
    6·1 answer
  • Round 13.406 to the nearest hundredths
    5·2 answers
  • The square root of 60 is between A) 5 and 6. B) 6 and 7. C) 7 and 8. D) 8 and 9.
    15·1 answer
  • 2(4+2x)≥5x+5 Solve The Inequality, IDK what to do here
    5·1 answer
  • A group of 6 students was asked, "How many hours did you watch television last week? Here are their responses.
    15·1 answer
  • How to simplify -3(x+4)-(x-3)
    6·1 answer
  • What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter
    15·1 answer
  • Pls help ill give brainliest and five stars and thank you
    9·1 answer
  • 3 mas un numero multiplicado por 2 es lo mismo que 3 veces el numero<br> O
    10·1 answer
  • If it takes 5 hours to drive 62 miles how fast are you going
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!