Mathematics High School

What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.


cm²

Answers

Answer 1
we know that

Area of a circumference=π*r²
for diameter=21.2 cm---------> r=10.6 cm
A=π*10.6²--------> A=π*112.36 -------> A=352.81 cm²

if 2π radians (full circumference) has an area of -----------------> 352.81 cm²
 3π/5 radians-------------------------------------> X
X=[(3π/5)*(352.81)]/2π---------> X=105.84 cm²

the answer is 105.84 cm²
Answer 2

The area of the sector has a diameter of 21.2 cm and a central angle of 3π/5 radians is 105.90 square cm.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of 3π/5 radians and a diameter of 21.2 cm.

Then the area of the sector will be

[tex]\rm Area = \dfrac{\theta}{2\pi} *\dfrac{\pi}{4} d^2[/tex]

Then put the values, we have

[tex]\rm Area = \dfrac{\frac{3\pi}{5}}{2\pi} *\dfrac{\pi}{4} (21.2)^2\\\\\\\rm Area = \dfrac{3\pi}{10\pi} *\dfrac{3.14}{4} *449.44\\\\\\Area = \dfrac{3}{10} *\dfrac{3.14}{4} *449.44\\\\\\Area = 105.8968 \approx 105.90 \ cm^2[/tex]

The area of the sector has a diameter of 21.2 cm and a central angle of 3π/5 radians is 105.90 square cm.

More about the circle link is given below.

https://brainly.com/question/11833983

Related Questions

Mara listens to audiobooks while she’s driving. She has 3 mystery, 4 fiction, and 2 humor audiobooks in her car. Summarize the data using the mode

Answers

The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.

Answer:The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.

Step-by-step explanation:

The. system shown is ____.
consistent
equivalent
inconsistent

Answers

Answer:

inconsistant mi boii

Step-by-step explanation:

The given system of equations is inconsistent.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the graph of three lines as shown.

A system of equations is called an inconsistent system of equations if there is no solution. Since, the given lines do not intersect at one common point, hence the given system of equations is inconsistent.

Therefore, the given system of equations is inconsistent.

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(Please help~! 20 Points~!)
The solution to 8x = 32 is x = ___.
3
4
5
6

Answers

8x=32
x=
[tex] \frac{32}{8} [/tex]

=4
8x = 8 x 4 because 8 x 3 = 24, 8 x 5 = 40, and 8 x 6 = 48, so the only reasonable answer would be b. 4.

Brainliest please? I am trying to move up a rank!

Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2b

Find the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4

Answers

Answer
1) 4ab
2)  5pq²

Explanation
Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.
For example, the GCD of 12 and 18 is 6.

Question 1
Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.
32a^3 b^3,44ab^3,and 40a^2 b
Dividing every term by ab we shall have,
ab(32a^2 b^2,44b^2,and 40a)
Dividing again by 4,
4ab(8a^2 b^2,11b^2,and 10a)
Have no other common factor, the GCF = 4ab

Question 2
Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.
25p²q³,15p² q² and 35pq^4
Dividing each term by 5,
5(5p²q^3, 3p²q² and 7pq^4)
Dividing again by pq2,
5pq² (5pq, 3p and 7q² )
There no been any other common divisor, the GCF = 5pq²

Answer:

Part A. 4ab

Part B. 5pq²

Step-by-step explanation:

Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b

We have to find the greatest common factor of these expressions.

Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b

Factors of  44ab³ = 2×2×11×a×b×b×b

Factors of 40a²b = 2×2×2×5×a×a×b

So for the the greatest common factor we will choose the common factors (bold letters) of three expressions

GCF = 2×2×a×b = 4ab

Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]

Factors of 25p²q³ = 5×5×p×p×q×q×q

Factors of 15p²q² = 3×5×p×p×q×q

Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q

Therefore greatest common factor will be = 5pq²


Calculate the difference 12.0875 – 7.50 using significant digits.

A. 4.5
B. 4.587
C. 4.59
D. 4.6

Answers

the answer is B, 4.5875.

Answer:

The answer should be C.4.59.

please help I will mark brainlist if correct

Answers

The admission fee at a fair is $2.00 for children and $4.00 for adults.

On Saturday 2,500 people entered the fair and $7,000.00 were collected.

How many children and how many adults attended? Give your answer, using x for children, y for adults.

Form of: x =, and y =

 

Let K = no. of children

Let A = no. of adults

 

2500 people mean

Kids + Adults

 

K + A = 2500

K = 2500 – A

 

2K + 4A = 7000

K + 2A = 3500

 

(2500 – A) + 2A = 3500

A = 3500 – 2500

(A = 1000, adults)

 

K = 2500 – A

K = 2500 -1000

(K = 1500, Kids)

 

CHECK:

1500*2 = $3000

1000*4 = $4000

(Total = $7000, people.).


Hope this helps:

If cos thetha =-0.96 and (sec thetha)(sin thetha)>0 find the value of tan thetha

Answers

cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.

cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96   <0

Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign, 
=> sin(theta)<0 
=>
theta is in the third quadrant. => tan(theta)>0

Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28 
=> sin(theta)=-0.28

Finally, 
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24 
=0.29167 (to the fifth decimal place)

PLS HELP QUICKLY :V) Anna brings her granddaughter to a photo studio to take spring pictures. For the picture, they have a choice of a background scene, a toy prop, and an outfit. The studio has 12 different background scene, 36 toy props, and 15 outfits to choose from.

How many possible outcomes of a background scene, a toy prop, and an outfit does Anna have?

Answers

to figure out how many different possibilities there are in total, you need to multiply all the numbers together. 36*12*15=6840

so there are 6840 possibilities, and to get a single one of these, the probability is 1/6840

To calculate the total number of possible outcomes for the photo shoot, you multiply the number of background scenes (12), toy props (36), and outfits (15), which results in 6,480 possible combinations.

The question posed involves determining the number of possible combinations of a background scene, a toy prop, and an outfit in a photo studio with a set number of each option available. To find the total number of possible outcomes, one should multiply the number of choices for each category together. In this case, Anna has 12 different background scenes, 36 toy props, and 15 outfits to choose from.

Therefore, the calculation is as follows:

Number of background scenes: 12

Number of toy props: 36

Number of outfits: 15

By multiplying these numbers, we determine the total number of possible outcomes:

12 (backgrounds) times 36 (props) times 15 (outfits) = 6,480 possible outcomes.

What is 22+6\3= because i have it in my homework i need do know

Answers

the answer is 24. to get this answer you would follow PEMDAS which means you divide first.


6 ÷ 3 =2 , so 22 + 2= 24


hopefully this helps
The answer you are looking for is 24

Evaluate 2x^2 − 5y / 3x − y when x = 2 and y = -4


Answers

If you substitute all the variables with the number assigned the answer would be 18.

Please help asap!!!! 53 points!

Answers

The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:

Khan academy how to solve equations with fractions and mixed numbers

Answers

Generally, you are told to approach these by "clearing fractions". That is, you generally multiply the equations by the least common denominator so all fractions and mixed numbers become integers.

Alternatively, you can simply do the arithmetic using the numbers given. You learned a long time ago how to add, subtract, multiply, and divide mixed numbers and fractions. Do these operations as necessary to solve the equations.

What number is between 7/11 and 7/10

which one?
76/99
23/33
77/9
25/44

???? plz be sure its 56 points

Answers

23/33 is between 7/11 and 7/10 :)

Can someone help me?

Answers

check the picture below.

make sure your calculator is in Degree mode.

PLEASE HELP ASAP!!!!!!!!!

Answers

[tex]\begin{cases}y=-3x+8\\y=-5x-2\end{cases}\\\\\\-5x-2=-3x+8\\\\-5x+3x=8+2\\\\-2x=10\qquad|:(-2)\\\\\boxed{x=-5}\\\\\\y=-3x+8\\\\y=-3\cdot(-5)+8\\\\y=15+8\\\\\boxed{y=23}\\\\\\ \begin{cases}x=-5\\y=23\end{cases}[/tex]

Answer C)

Point D is on segment BC. Segment BC measures 8x units in length.What is the length of segment BC?units

Answers

144 this is the answer im taking the test now

Factor completely.

y^2+6y+8

Answers

This is a quadratic expression, meaning it can be factored into two binomials each with the variable to the power of one. Knowing this, we can already deduce that the factorization would look something like this: 

(y + ____)(y + ______)

The blanks equal the factors of the last term. The last term may have multiple pairs of factors, but you need to look at the middle term to find the correct pair. The sum of the pair of factors should equal the middle term. For instance, in this example 8 + 1 does not equal 6, even though it is a factor pair of 8. It is easier to grasp the answer if you name all the factor pairs and work from them. With practice, factor pairs will come easier. In this case, the factor pair is 4 and 2. 

4x2 = 8 and 4 + 2 = 8.

Therefore, (y + 2)(y + 4) = y^2 + 6y + 8

Final answer:

To factor the expression [tex]y^2+6y+8[/tex] completely, we use the method of factoring binomials. The expression can be factored as (y + 2)(y + 4).

Explanation:

To factor the expression y2 + 6y + 8 completely, we need to find two binomials that multiply together to give us the original expression. Since the coefficient of the y2 term is 1, we know that the binomials will take the form (y + a)(y + b). To find the values of a and b, we need to find two numbers that add up to 6 (the coefficient of the y term) and multiply to give 8 (the constant term).

The numbers that satisfy these conditions are 2 and 4, because 2 + 4 = 6 and 2 × 4 = 8. So, we can factor the expression as (y + 2)(y + 4).

what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19

Answers

1. To solve this exercise you must apply the "Trapezoid midsegment theorem", which says that the length of the midsegment is equal to half the sum of the lengths of the bases of the trapezoid. Therefore, you have:
 
 x=(a+b)/2
 
 "x" is the midsegment (x=19).
 "a" and "b" are the bases (a=27).
 
 2. When you clear the second base "b" from the formula  x=(a+b)/2 and you substitute the values, you obtain: 
 
 x=(a+b)/2
 2x=a+b
 b=2x-a
 b=2(19)-27
 b=38-27
 b=11
 
 What is the length of the 2nd base of a trapezoid?
 
 The answer is: 11

Answer: 11


Step-by-step explanation:

X=(a+b)/2

2x=a+b

B=2+-a

B=2(19)-27

B=3-27

B=11


A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.

Answers

Not sure exactly what you're asking here, it probably cut you off and wouldn't let you type any more but I think the answer is that he needs to get a third of his original amount he was planning on buying, making it evened up to being 135 cubic feet.

The number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, a platform has a volume of 135 cubic feet.

One cubic yard is equal to 27 cubic feet.

Now, number of cubic yards

= 135/27

= 5 cubic yards

Therefore, the number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

To learn more about the metric conversion visit:

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"Your question is incomplete, probably the complete question/missing part is:"

A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.

How many cubic yards of concrete does Joey need to buy?

2(3x+4)-5(1-2x)=7(2x-3)+12 in stages

Answers

Stage 1: SIMPLIFY
6x+8-5+10x = 14x - 21 + 12

Stage 2: COMBINE LIKE TERMS
16x + 3 = 14x - 9

Stage 3: SOLVE
2x = -12
x = -6

Hope this helps!
I guess you wan to find the value of x
LHS= 2(3x+4)-5(1-2x) = 6x+8 -(5-10x)
        = 6x+8+10x-5 =16x +3
RHS= 7(2x-3)+12 = 14x-21+12=14x -9
 since LHS=RHS
16x+3=14x-9 (by subtracting 14x from both sides)
2x +3 = -9 (by subtracting 3 from both sides)
2x =-12 (divide both sides by 2)
x = -6 

Note:
please describe your problem with adding comments on your requirements.

Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?

Answers

question incomplete. If the limit is 250k. The Answer is 230k bank A, 240K bank b and 220k bank c.

Answer:

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

Step-by-step explanation:

Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?

A.  $200,000 in bank A, $200,000 in bank B, $290,000 in bank C

B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C

C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

helppppppppppppppppppppppppppppppppppppp

Answers

Answer:
a < -2

Explanation:
To solve the inequality, we will need to isolate the a on one side of the inequality as follows:
3 - 2a > 7

1- subtract 3 from both sides:
3 - 2a - 3 > 7 - 3
-2a > 4

2- divide both sides by -2. Remember that when dividing by a negative number, we flip the inequality sign.
-2a / -2 > 4 / -2
a < -2

Hope this helps :)

Please answer this question!! Show your work

Answers

The answer is 6.4%

When converting a decimal to a percent two places to the right.


I hope this helps!

The range of typical total prices for an American tourist traveling on the European continent is $20.70 to $25.00. What is the average price?

Answers

For this case what we should do is find an average value of the total prices for a trip to europe
 We look for the average of the prices by means of the following expression:
 P = (20.70 + 25) / (2)
 P = 22.8 $
 Answer: 
 the average price is $ 22.8

Answer:

(The other answer has missing a number.)

The full answer is: $22.85

A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30

Answers

The value of f(3) would be 6.

Using our formula, we know that f(1) = 10, and f(2) = f(1) - 2 = 10-2 = 8.  That means that f(3) = f(2) - 2 = 8 - 2 = 6.

Answer:

6

Step-by-step explanation:

jesse uses 19 beads to decorate each picture frame. In all, Jesse used 133 beads. How many picture frames did Jesse make?

Answers

use division: 133/19 = 7 picutre frames

Answer:

use division: 133/19 = 7 picutre frames

Step-by-step explanation:

Two parallel lines are _____ coplanar.


never


sometimes


always


Two lines that lie in parallel planes are _____ parallel.


sometimes


always


never



Please explain the answers, I want to understand this better.

Answers

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is  ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes [tex]\alpha[/tex] and [tex]\beta[/tex] are parallel. Consider pair of lines [tex]a[/tex] and [tex]a_1[/tex] - they are parallel, but if you consider the pair of lines [tex]a[/tex] and [tex]b_1[/tex], you can see they are not parallel.

Answer:

always

sometimes

Step-by-step explanation:

By definition parallel lines are lines in a plane which do not meet, that means, they have to be coplanar. Coplanar means they are included in the same plane. Then, two parallel lines are always coplanar (imagine two parallel lines in a 3d space, there is always a plane that can contain them).

Two lines that lie in parallel planes are sometimes parallel. As stated before, if there is a third plane which contains the two lines, they can be parallel or cannot, but if there is no plane which contains them, they are not parallel.

If PQRS is a parallelogram, what is the value of Y

Answers

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent. 

RQ = SP
1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4
y = 52.

So the answer is option C.

The value of y is equal to 52. The correct option is C.

What is a parallelogram?

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.

RQ = SP

1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4

y = 52.

Hence, the answer is option C.

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The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day

Answers

It increases by $30 per day.

The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.

Let us consider any two points.

Let us consider (1,30) and (2,60)

We have to determine the rate of change which is basically termed as "slope".

Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.

Therefore, rate of change or cost per day =

Change in y [tex] \div [/tex] Change in x

= [tex] \frac{60-30}{2-1} [/tex]

= 30

Therefore, the rate of change or cost per day is $30 per day.

Make a the subject of the formula: v^2=u^2+2as. Please help & show working

Answers

It just means to isolate a. You can start like this::

V^2 = U^2 + 2AS
V^2 - U^2 = 2AS
(V^2 - U^2)/2S = A
A= (V^2 - U^2)/2S 
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