What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2

What Is The Approximate Area Of The Shaded Sector In The Circle Shown BelowA. 283 CmB. 31.4cm2 C. 565cm2

Answers

Answer 1

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 [tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]

where area of the circle = πr²

∴ for the given circle,

[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]

                            =  [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]

                            = [tex]\frac{100}{360}\times 1017.36[/tex]

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².


Related Questions

Those in favor of using non-traditional tests (e.g., portfolios, essays, projects) to evaluate students say that their use is much fairer than using standardized tests only. This is because it means that students who are willing to work hard but who perform poorly in standardized tests will have a better chance of doing well. However, there are challenges in the use of non-traditional tests that cast doubt on their fairness. For example, it is difficult to determine if a student received any help from others in putting together his or her portfolio. In addition, there is a growing market for customized essays whereby students can pay someone else to write essays for them via the internet. At the moment, the only deterrent is a teacher's vigilance. Although teachers might be able to identify work which seems atypical for an individual student, they won't necessarily be able to conclude whether this is due to the student's hard work or due to assistance the student received from others.
Which one of the following conclusions is best supported by the passage above?

1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation.

2.Challenges of the use of non-traditional tests mean that students should only be evaluated using standardized tests.

3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.

Answers

Answer: 1.Use of traditional tests may not evaluate how hard a student is willing to work to get a good evaluation

Step-by-step explanation:

Proponents of Traditional Tests argue that they are fairer because hard working students who may fail standadized tests may be able to pass them.

However, the text shows that that arguement has loopholes because a student could pass those Traditional testing methods by employing methods that are void of hard-work such as receiving help from other people or buying a customized essay over the internet.

Should this be the case then, Traditional tests may not be able to properly evaluate a student's hard work because one can not know if the submitted content was solely due to hard-work or if there was assistance from somewhere.

Answer:

3.Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students.

Step-by-step explanation:

The Use of non-traditional tests to evaluate students is not necessarily fairer than using standardized tests to evaluate students because it is difficult to determine if a student received any help from others in putting together his or her portfolio, essay or project except if he is closely monitored by the teacher. Also a student may pay someone online to write a customized essay for him/her via the internet therefore it cannot be concluded whether it is due to the student's hard work or due to assistance the student received from others.

What does the term human capital refer to?

Answers

Answer:

its a captial of humans

Step-by-step explanation:

Answer: knowledge

Step-by-step explanation:

Human capital is a loose term that refers to knowledge, experience and skills of an employee. ... It states that companies have an incentive to seek productive human capital and to add to the human capital of their existing employees.

What is a scale factor

Answers

Answer:

To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other.

Step-by-step explanation:

XYUV=123=4

The scale Factor is 4!

0.5x + 6 > 3
I don’t know how to solve

Answers

Answer:

x > -6

Step-by-step explanation:

Move 6 to the other side:

0.5x > -3

x > -6

5/10 as a unit fraction

Answers

Answer:

its just 5/10, or 1/2 is it not

Step-by-step explanation:

given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

Answers

Answer:

[tex]\cos{\theta} = \frac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

For any angle [tex]\theta[/tex], we have that:

[tex](\sin{\theta})^{2} + (\cos{\theta})^{2} = 1[/tex]

Quadrant:

[tex]0 \leq \theta \leq \frac{\pi}{2}[/tex] means that [tex]\theta[/tex] is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

[tex](\sin{\theta})^{2} + (\cos{\theta})^{2} = 1[/tex]

[tex](\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1[/tex]

[tex]\frac{1}{16} + (\cos{\theta})^{2} = 1[/tex]

[tex](\cos{\theta})^{2} = 1 - \frac{1}{16}[/tex]

[tex](\cos{\theta})^{2} = \frac{16-1}{16}[/tex]

[tex](\cos{\theta})^{2} = \frac{15}{16}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{15}{16}}[/tex]

Since the angle is in the first quadrant, the cosine is positive.

[tex]\cos{\theta} = \frac{\sqrt{15}}{4}[/tex]

Answer:

b.[tex]\frac{\sqrt{15} }{4}[/tex]

Step-by-step explanation:

What is the next step after using the distributive

property?

Answers

Answer:

If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.

But in solving an equation such as

2(x + 3) = 3(x + 1)

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

Step-by-step explanation:

For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.

2 (x + y)

The distributive property enables us to say

2×x + 2×y = 2x + 2y

So, the next step after applying the distributive property is to simplify the equation.

But in solving an equation such as

2(x + 3) = 3(x + 1)

Applying the distributive property

2x + 6 = 3x + 3

We then operate variables, collect like terms on one side

6 - 3 = 3x - 2x

3 = x

x = 3

Hope this Helps!!!

Answer:

-102 + (-25.5)

Step-by-step explanation:

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of arc BC is 102°.

Answers

Answer:

angle at A: 51°base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

I need help please!!

Answers

Answer:

3/3/8

Step-by-step explanation:

2 7/8 is the correct answer

Write this number in standard notation.
4.702 x 10

Answers

Answer:

47.02

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 1 places to the right.

47.02

Answer:

0.0004702

Step-by-step explanation:

You roll a number cube once.

What is the theoretical probability that you roll a 5 or 2? Enter your answer as a simplified fraction.


The probability that you roll a 5 or 2 is____

Answers

Answer:

The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 6 total outcomes(all numbers from 1 to 6).

The desired are 2, that is, rolling 2 or rolling 5.

p = 2/6 = 1/3

The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]

Answer:5/2

Step-by-step explanation:


What’s the correct answer for this?

Answers

The square root of 10 is a number with the following property: when you square it, you get 10.

So, if we have [tex]a<\sqrt{10}<b[/tex], where [tex]a[/tex] and [tex]b[/tex] are positive integers, if we square the whole inequality we have

[tex]a^2<10<b^2[/tex]

Let's analyse option A for example. Given everything we said so far, we would have

[tex]1<\sqrt{10}<2 \iff 1^2<10<2^2 \iff 1<10<4[/tex]

which is false.

Option B is again false, because we would have

[tex]2<\sqrt{10}<3 \iff 2^2<10<3^2 \iff 4<10<9[/tex]

which is again false. Keep trying with options C and D following those same steps, and see which one is correct

Answer:

C

Step-by-step explanation:

√10=3.16

3.16 is between 3 and 4 hence C is the answer

I need help on these 4 chooses.If you are able to help me i would appreciate it because i have been stuck on this for an hour or so.


The First choose is does not/does
The Second choose is 96/216/60
The Third choose is less/more
The Fourth choose is 106.5/194.25/25/50

Answers

Answer:

1. does (yes he can)

2. 216

3. more

4. 194.25

Step-by-step explanation:

Total wood

18 x 12 = 216

Maurice suggestion

10.5 x 10.5 = 110.25

Sides

10.5 x 2 inches x 4 sides = 84

84 + 110.25 = 194.25

216 - 194.25 = 21.75 extra

Factorise - x^(3)-3x^(2)-10x+24 ( plss tel method also)

Answers

Step-by-step explanation:

I think we can do it in this way

x3 - 3x2 - 10x + 24

x2(x - 3) - 2(5x + 12)

Solve x^2 -24x = -80 by completing the square

Answers

Answer:

(20,4)

Step-by-step explanation:

Answer:

{4,20}

Step-by-step explanation:

b on edg got 100%

pls check the attachment thank you​

Answers

Answer:
351.86cm^3

Explanation:
Well, the volume of the part we need to take out is approximately 157.08cm^3 (with a radius of 2.5 and a height of 8). Now we have to find the volume of the larger cylinder (with a radius of 4.5 and a height of 8), which is approximately 508.94cm^3. Now subtract the volume of the little cylinder from the volume of the large cylinder (508.94cm^3 - 157.08cm^3). The volume of the metal casting is 351.86cm^3.
(your teacher might want you to round differently)
:)

Which expression is equal to 45 x 4-734-27

45 = 4 0

Answers

Answer:

9(5x - 3) option (c)

Step-by-step explanation:

The question isn't clear as well as incomplete without the options. Since there are no options let's determine the answer of the following mathematical expression:

45x - 27

a) 9(3x - 5)

b) 3(12x + 7)

c) 9(5x - 3)

d) 5(7x + 30)

To determine which option is equivalent to 45x - 27, we would check each option by expanding the bracket. Apply BODMAS (stands for Bracket, Of, Division, Multiplication, Addition and Subtraction) after the expansion. That is multiply before you add or subtract.

a) 9(3x - 5) = 9×3x - 5×9

= 27x - 45

b) 3(12x + 7) = 3×12x + 3×7

= 36x + 21

c) 9(5x - 3) = 9×5x - 9×3

= 45x - 27

d) 5(7x + 30) = 5×7x + 30×5

= 35x + 150

From the expansion, only option C is equal to the given expression: 45x - 27

What is equalivent to 5=4z+13

Answers

Answer:

[tex]z = - 2[/tex]

Step-by-step explanation:

[tex]5 = 4z + 13 \\ 5 - 13 = 4z \\ - 8 = 4z \\ \frac{ - 8}{4} = \frac{4z}{4} \\ z = - 2[/tex]

100 PTS PLEASE HELP PLEASEEE

Answers

Answer:

8

Step-by-step explanation:

The square root of a number is what number multiplied by itself can result in the product of this.

For example, in this question you multiply 8 by itself to get 64

8*8=64

So, the square root is 8

[3]
(b)
Calculate the values of c for which 2x2 – 3x + c>-2 for all values of x.​

Answers

Answer:

  c > -7/8

Step-by-step explanation:

Add 2 for an inequality that compares to zero:

  2x^2 -3x +(c+2) > 0

This will be true when the discriminant is negative. For the quadratic ...

  ax^2 +bx +c

the discriminant is ...

  b^ -4ac

We want this to be negative:

  (-3)^2 -4(2)(c+2) < 0

  9 -8(c +2) < 0

  9 -8c -16 < 0

  -7 < 8c

  -7/8 < c

The given inequality will be true for all values of c greater than -7/8.

Which statement is true?

A. -8xy and x+y are like terms.

B. -8xy and 9x are like terms.

C. -8xy and 9y are like terms.

D. -8xy and 9xy are like terms

Answers

the answer is D :)

if you were to combine the terms, they need to have the same variables. xy is the only variables that match

2. If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?

Answers

Answer:

40 feet

Step-by-step explanation:

Have a nice day

All of the following statements about the standard normal probability distribution are true EXCEPT: a) the expected value is 0 b) the total area under the standard normal curve is 1 c) the standard deviation can assume any positive value d) the probability that z assumes values between -1 and 1 is 0.6826

Answers

Answer:

d) the probability that z assumes values between -1 and 1 is 0.6826.

Step-by-step explanation:

In a standard normal probability distribution, the Z-value depends on the data set, the mean and the standard deviation, that means, it's a variable measure, it's not a constant, that's why the choice d is wrong.

On the other hand, the other choices are correct regarding standard normal probability distribution.

Therefore, the right answer is d.

The number of milligrams of a drug in a person’s body after t hours is given by the function f(t) = 10e-0.3t. When will the amount of the drug be approximately 0.2 milligrams?

Answers

Answer:

amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours

Step-by-step explanation:

Given: The function [tex]f(t)=10e^{-0.3 t}[/tex] represents number of milligrams of a drug in a person’s body after t hours

To find: time after which amount of the drug becomes approximately 0.2 milligrams

Solution:

[tex]f(t)=10e^{-0.3 t}\\0.2=10e^{-0.3 t}\\\frac{0.2}{10}=e^{-0.3 t}\\\frac{2}{100}=e^{-0.3 t}\\\frac{1}{50}=e^{-0.3 t}\\[/tex]

As [tex]e^x=y\Rightarrow x=\ln y[/tex] ,

[tex]50=e^{0.3 t}\\0.3t=\ln 50\\t=\frac{\ln 50}{0.3}=13.04\,\,hours[/tex]

So, amount of the drug becomes approximately equal to 0.2 milligrams after 13.04 hours

Answer:

13 hours

Step-by-step explanation:

right on edmentum

The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.

Answers

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

A right triangle has one angle that measures 59º. What is the measure of the other
acute angle?

Answers

Answer: 31°

Step-by-step explanation:

We know that a right triangle is equal to 180°. Since this is a right triangle, we know that one angle is 90°. Since we are given out other angle, it is very easy to find the missing angle.

180°=59°+90°+x

180°=149°+x

x=31°

Which of these shapes is a parallelogram but not a square?
Select all that are true.​

Answers

Answer: The top right and bottom right polygons are parallelograms and not squares.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.

A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.

Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).

The top left image is neither. There are two sets of equal sides, but they are not parallel. The top right image is a parallelogram, as it has two pairs of parallel sides opposing each other. It is not a square, as the side lengths are unequal. The middle left image is neither. There are not two sets of parallel sides. The middle right image is a square and a parallelogram. All its sides are equal, and it has two sets of opposing parallel sides. The bottom left image is neither. It only has one set of parallel opposing sides, and they are not equal in length. (This is a trapezoid.)The bottom right image is a parallelogram, as it has two pairs of parallel sides opposing each other, and the side lengths are unequal.

Only the top right and bottom right images are parallelograms and not squares.

The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.

What is a quadrilateral?

A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with parallel and equal opposite sides.

A square is a quadrilateral in which all sides are equal, opposite sides are parallel and each angle measures 90 degrees.

The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.

Find out more on quadrilateral at: https://brainly.com/question/16691874

Express this number in stand
5.401 x 10-1 = ?

Answers

Answer:

0.5401

Step-by-step explanation:

In Standard form

due to the negativity of the power, you move the decimal point to the left...and u move it once

Write an equation in standard form of the line that passes through (1, 3) and has a slope of –4.

Answers

Answer:

work is shown and pictured

A lunch menu consists of 6 different sandwiches, 4 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

Answers

The correct answer is 14 please give me brainlest I hope this helps
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