Mathematics College

What is the approximate area of the shaded sector in the circle shown below
A. 491in^2
B. 246in^2
C. 30.7in^2
D. 15.4in^2

What Is The Approximate Area Of The Shaded Sector In The Circle Shown BelowA. 491in^2B. 246in^2C. 30.7in^2D.

Answers

Answer 1

Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

                   

                   

∴ Area of sector is

Correct option is B.

Related Questions

If figure 1 needs 3 toothpicks, figure 2 needs 6 toothpicks and figure 3 needs 9 toothpicks then how many toothpicks will be needed in figure 4?

Answers

Answer:

Figure 4 will need 12 toothpicks.

SOLVE FOR X AND Y !! WILL GIVE BRAINLIEST

Answers

Answer:

x=21, y=17

Step-by-step explanation:

180-42= 138

2x+138=180

2x= 42

x= 21

8y+2+2x=180

8y+2 + 42=180

8y= 136

y= 17

Answer:

x=21, y=68

Step-by-step explanation:

We're given that the quadrilateral on the left is a parallelogram as indicated by the arrow markings on the sides. We're also told that the angle on the right is 42 degrees. So, we can find the bottom right angle in the parallelogram by subtracting 42 from 180, because it forms a straight angle. 180-42 is 138. By the alternate interior angles theorem, 8y+2=138, because 138 is also the angle measure of the opposite corner. we also know that the bottom left angle in the parallelogram is the same as 2x. by the alternate interior angles theorem. Notice how the sides of the parallelogram with two arrow markings are parallel, which means that the bottom left angle and the 42 degree angle are congruent, or have the same measure, because of the parallel lines. This means that 2x=42, and the bottom left angle is 42. We can solve for x and y with simple algebra now. 8y+2=138, 8y=138-2, 8y=136, y=68. 2x=42, x=42/2, x=21. So, x is 21 and y is 68.

Ned took a test with 20 questions. He lost 3 points for each of the 5 questions he got wrong and earned an additional 12 points for answering a bonus question correctly. How many points did Ned receive or lose overall?

Answers

Answer:

He lost 15 points and recieved 12 points back now he missing 3 points

1) Define the three trigonometric ratios (sine, cosine, and tangent) using opposite side, adjacent side, and hypotenuse)​

Answers

Answers:

sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacent

These three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.

One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.

SOH = sine opposite hypotenuse

CAH = cosine adjacent hypotenuse

TOA = tangent opposite adjacent

A certain drug dosage calls for 17 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 255 pounds, how many milligrams of the drug should he receive every 12 hours? Round your dosage to the tenth of a milligram.

Answers

Answer:

985.15mg

Step-by-step explanation:

Calculation for how many milligrams of the drug should he receive every 12 hours

First step is to calculate the weight in kg

255 lbs = 255/2.2 = 115.9 kg

Second step is multiply mg/kg in order to get total medicine per day

Dose per day=115.9kg × 17 mg

Dose per day= 1,970.3

Third step is to calculate how many milligrams of the drug should he receive by dividing the day dose by 2

Dose milligrams=1,970.3/2

Dose milligrams=985.15mg

Therefore how many milligrams of the drug should he receive every 12 hours will be 985.15mg

I have an answer but I’m not sure if it’s correct can someone pls correct me or confirm pls

Answers

Answer:

looks good to me

Step-by-step explanation:

A dolphin is at the surface of the ocean. What is the dolphin’s elevation?

Answers

0ft. Elevation starts at sea surface level

Answer:

80 metors or less

Step-by-step explanation:

If I am wrong I am so sorry but I am preety sure its 80

y= x - 5

y= -3x + 3

graph please ASAP FOR EXAMS

Answers

Answer:

(2,-3)

Step-by-step explanation:

The intersection point of y=x-5 and y=-3x+3 is (2,-3) on a graph.

Determine if the sequence is arithmetle or geometne, and find the common difference or ratio
(1,81), (2,72),(3,63),(4,54)
I’m desperate ✨

Answers

the sequence is geometric because the units are changing the same amount each time. Hope this helps!

equation below scatter plot (66,69)(76,71)​

Answers

Infinity Many Solutions
- Harvard university professor

what is 48 as a product of its prime factors... SHOW ALL WORKING​

Answers

Answer:  48 as a product of its prime factors is 48  or  2*2*2*2*3

Step-by-step explanation:

 First find the prime factors of 48

    48

     ∧  

 2    24    

        ∧

      2     12

             ∧  

            3   4  

                  ∧

                 2  2  

The prime factors are  2 * 2 * 2 * 2 * 3     or [tex]2^{4} * 3[/tex]  

Pls help I’m failing math

Answers

Answer:

y = 3/7+0

Step-by-step explanation:

This is what I got, hope this helps.

The diagram below represents a generic right triangle.

Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement?
A
Both sin A and cos B are equal to

B
Both sin A and cos B are equal to
ОО O

С
For sin A to equal cos B. a and c must be equal.

D
For sin A to equal cos B a and b must be equal

Answers

Bshould be the answer !

Dan is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Dan wants the total calorie count from the french fries and chicken wings to be less than 500 calories. Using the values and variables given, write an inequality describing this.

Answers

Answer:

25f + 100c < 500

Step-by-step explanation:

I hope it helps.

Which sequence of transformations performed on triangle J could result in similar triangle J'?

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

JUst got right

The bus fare in a city is $2.00 . People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon​ book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book

Answers

X=26 26+x*1=2x hope this helped

Please. Help. I. Need. Assistance.

Answers

Answer:

what do you need help with

Answer:

what do you need help with?

Step-by-step explanation:

Let f(x)=−42x+3. Evaluate f(−1)

Answers

Step-by-step explanation:

f(-1)=-42(-1)+3....placing -1 in x

f(-1)=42+3

f(-1)=45

Solve for X
Answers:
3
5
-8
11
Please Help

Answers

The answer is 3 you have to combine the like terms in the equation then divide by 26 to get 3

How much money will Tracy repay to the bank for a loan of $1000 that she borrows for 2 years 8 months at a 12% simple interest rate?

Answers

It will be 28..............

Test the series for convergence or divergence (using ratio test)​

Answers

Answer:

    [tex]\lim_{n \to \infty} U_n =0[/tex]

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑[tex](-1)^{n} \frac{n^{2} }{n^{3}+3 }[/tex]

Let   [tex]U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }[/tex]

By using Leibnitz's rule

   [tex]U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }[/tex]

 [tex]U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}[/tex]

Uₙ-Uₙ₋₁ <0

Step(ii):-

    [tex]\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }[/tex]

                       [tex]= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }[/tex]

                    = [tex]= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }[/tex]

                       [tex]=\frac{1}{infinite }[/tex]

                     =0

    [tex]\lim_{n \to \infty} U_n =0[/tex]

∴ Given series is converges

                       

                     

 

Domain and Range functions

Answers

Interval notation or standard?

According to the 68-95-99.7% rule, what percentage of the data from a bell-shaped distribution will be within one standard deviation of the mean

Answers

Answer:

68% of the distribution will be within one standard deviation of the mean

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Bell-shaped = Normally distributed.

This means that 68% of the distribution will be within one standard deviation of the mean

Answer:

c 95%

Step-by-step explanation:

Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:£472.92

Step-by-step explanation:

£2100(0.78)^6

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

Answer:

3 small boxes and 6 large ones

Step-by-step explanation:

3 times 100 equals 300 and 6 times 350 is 2100 and 2100 plus 300 is 2400.

Find the coordinates for point R that proves figure TRAP is an isosceles trapezoid.

Answers

Answer:b

Step-by-step explanation: I got it right on my test

The coordinates for point R that proves figure TRAP is an isosceles trapezoid is (c - a, b)

From the diagram, we have the following highlights

There are two parallel sides in the trapezoidThe parallel sides of the trapezoid are horizontal lines

This means that the y-coordinate of point R is the same as the y-coordinate of point T.

Given that the y-coordinate of point T is b, the y-coordinate of point R can be represented as:

[tex]R =(x,b)[/tex]

For the shape to be an isosceles trapezoid, then the following must be true

[tex]x = c - a[/tex]

So, we have:

[tex]R =(c - a,b)[/tex]

Hence, the coordinates of R is (c - a, b)

Read more about trapezoid at:

https://brainly.com/question/2141851

plzzzz help asaaaap look at the filllle plzzzzz

Answers

Answer:

29) x=8

30) x=18

Step-by-step explanation:

The picture tells you that ∠AOB and ∠COD are equal. So,

29: m∠AOB = m∠COD

Substitute.

4x - 2 = 2x + 14

Solve.

2x = 16

x = 8°

30. again, m∠AOB = m∠COD = 28

m∠AOD = m∠AOB + m∠BOC + m∠COD

Substitute.

6x = 28 + 3x -2

Simplify.

6x = 3x + 54

Solve.

3x = 54

x = 18

find the value of x.

Answers

Answer:

x=136°

Step-by-step explanation:

according to the question

44+x=180

x=180-44

x=136

Can someone tell me how to do this?

Answers

Answer:

6w+32

Step-by-step explanation:

Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and
William is 334 miles away from the stadium. Lily is driving along the highway at a
speed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let L
represent Lily's distance, in miles, away from the stadium t hours after noon. Let W
represent William's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms oft, and determine the interval of
hours, t, for which Lily is closer to the stadium than William.

Answers

Answer:

L= -44t +313 W=-51t+334

Lily is closer to the stadium than William when t < 3 hours

Step-by-step explanation:

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