if radius equals 3 and the arc that bounds that sector is 40° what is the sector area and arc length equal?

Answers

Answer 1

Answer:

Sector area= 3.143 units²

Arc length = 2.095 units

If Radius Equals 3 And The Arc That Bounds That Sector Is 40 What Is The Sector Area And Arc Length Equal?
Answer 2

Answer:

arc length = 3 * 40° * (PI / 180)

arc length = 2.0943951024

sector area = (radius * angle (radians))

sector area = (3 * 0.6981317008)

sector area = 3.1415926536

Source: https://www.1728.org/radians.htm

Step-by-step explanation:


Related Questions

What is formula for Correlation of Karl's Pearson (Short-cut Mean Method)?


❥[tex] \huge { \mathfrak{\fbox{ \green{Correlation}}}}[/tex]

Answers

[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]

Where, X-mean of X variable

Y - mean of Y variable

The base area of a cylinder is 200.96m2

and the volume is 1205.76 in3

. what is the height of the cylinder?

Answers

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

                                   = 1205.76 ÷ 200.96

                                   = 6 in

(24 +2)divide by 2 order operation

Answers

Answer:

13

Step-by-step explanation:

(24+2)/2 would be the expression.

PEMDAS so first complete the numbers in the Parantheseis:

(24+2)/2 = 26/2

Since there are no exponents or mulitplication, divide:

26/2 = 13

Hope this helps!

A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.

Answers

Answer:

Tables 3,4 and 5

Step-by-step explanation:

Answer on quizlet.

Answer:

h

Step-by-step explanation:

How many degrees is the angle measurement of x?

Answers

Answer:

x ≈ 37.13°

Step-by-step explanation:

using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13.4}{22.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{13.4}{22.2}[/tex] ) ≈ 37.13° ( to the nearest hundredth )

if x and y are real numbers greater than 1, what is the value of the expression log_x 1 + log_y y?
Answers:
A) 1
B) 0
C) 2

Answers

[tex]\log_x (1)+\log_y (y)\\\\=\log_x x^0 + 1\\\\=0\cdot \log_x x +1\\\\=0+1\\\\=1[/tex]

Which function is the inverse of f(x) = 2x+ 3?

Answers

[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]

Can I have help on this?

Answers

3 is the answer… . . . . .. . . . .

Please help I will give
BRAINLY
a THANKS
and FIVE STARS

Answers

Answer:

day 26

Step-by-step explanation:

just multiply the numbers

Answer:

Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.

2 answers

·

1 vote:

Answer: A Step-by-step explanation: It because of The Width and Depth

Missing: ___ ‎____ ‎drew ‎net ‎pyramid,

Step-by-step explanation:

The price of an item yesterday was 105. Today, the price rose to 147 find the percentage increase

Answers

Answer:

40%

Step-by-step explanation:

147 - 105 = 42

42/105 = .4

.4 × 100 = 40%

According to this box plot of test scores, the top 25% of the students scored about what score?

options:

86


100


96


90

Answers

96

In this type of box plot, the two end lines are the absolute maximum and minimum values, each edge of the box is the lower and upper 25%, respectively from left to right, and the line in the box is 50%

So the answer here is the right edge of the box, or 96

11. If mNJ = "
170", mMK = (5x + 8), and mZMLK = (4x + 3)", find mZMLK.
,
M
o
K

Answers

Answer:

∠ MLK = 51°

Step-by-step explanation:

the secant- secant angle MLK is half the difference of the measures of the intercepted arcs , that is

∠ MLK = [tex]\frac{1}{2}[/tex] ( NJ - MK ) ← substitute values

4x + 3 = [tex]\frac{1}{2}[/tex] (170 - (5x + 8) ) ← multiply both sides by 2 to clear the fraction

8x + 6 = 170 - 5x - 8

8x + 6 = 162 - 5x ( add 5x to both sides )

13x + 6 = 162 ( subtract 6 from both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Then

∠ MLK = 4x + 3 = 4(12) + 3 = 48 + 3 = 51°

3.4k+(0.63−0.81k)÷0.9=5.7

Answers

Part I: Converting the terms into fraction form

Given equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7

First, let's convert the terms (that are in decimals) into fractions.

3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10

Replace the fraction forms in the equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10

Part II: Simplifying the division being performed

Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.

34k/10 + (63/100 - 81k/100) × 10/9 = 57/10

Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).

34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10

Part III: Isolating "k" to determine it's value

Combine like terms as needed:

34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10

Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.

25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10

Cancel the denominators (as a/b = c/b ⇔ a = c)

25k/10 = 50/1025k = 50

Divide both sides by 25 to isolate "k"

25k/25 = 50/25k = 2

What rule can be used to find the next term of the sequence? an = an–1 – 79 an = an–1 – 13 an = an–1 13 an = an–1 79

Answers

The rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]

Its nth term is

[tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is

[tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

Here, the considered sequence is 27, 40, 53, 66, 79,...

We see that:

40-27=13

53-40=13

and so on, the difference between each consequtive pair of terms of this sequence is 13.

Thus, due to having common difference in consequtive terms, this is an arithmetic sequence.

For this series, we've got:

Initial term = a = 27Common difference = d = 13

Thus, its nth term is given by:

[tex]T_n = a+(n-1)d= 27 +(n-1)13 = 13n + 14[/tex]

Since the options are using the notation [tex]a_n[/tex] instead of [tex]T_n[/tex], so we will use that too. Thus, nth term and (n-1)th terms are:

[tex]a_n = 13n + 14\\a_{n-1} = 13(n-1) + 14 = 13n + 1\\[/tex]

Thus, we can write nth term in the form of (n-1)th term as:

[tex]a_n = 13n + 14 = 13n + 1 + 13 = a_{n-1} + 13\\\\a_n = a_{n-1} + 13[/tex]

Thus, the rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

Answer:

c

Step-by-step explanation:

what is the easiest way to find length in volume

Answers

Answer:

Step-by-step explanationthe easiest way to find the length in volume is by first knowing it's formular wich is L x Wx H  

                                                                            = length x width x height

Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled

Answers

Answer:

1/2 anwser is B

Step-by-step explanation:

rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?

it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2

Sophie and Marcos are each saving for new bicycles. So far, Sophie has $7 saved and can earn $4 per hour walking dogs. Marcos has $3 saved and can earn $6 per hour at his family's plant nursery. After how many hours of work will Sophie and Marcos have saved the same amount? What will that amount be? Use the system of equations below to complete the graph.

Answers

Answer:

2 hours

Step-by-step explanation:

You can express each person's total earning as the formula for a line. (y=mx+b) Use the amount per hour that can be earned as the slope (m) and the amount already earned as the y intercept (b)

Sophie: y=4x+7

Marcos: y=6x+3

Since y is the total amount of money saved and you know that both people need to earn the same amount of money, we know that y is the same in both equations so we can use substitution to substitute one of the equations in for y in the other equation like this:

4x+7=6x+3

From here, solve algebraically

Subtract 3

4x+4=6x

Subtract 5x

4=2x

Divide by 2

x=2

So they will have the same amount of money after 2 hours.

Which value of x makes the following equation true?

2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7

Answers

Answer:

[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x, from one side of the equation.

2(x+10)=x+23

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(x+10)

2*x=2x

2*10=20

2x+20=x+23

First, subtract by 20 from both sides.

2x+20-20=x+23-20

Solve.

Subtract the numbers from left to right.

23-20=3

2x=x+3

Then, you subtract by x from both sides.

2x-x=x+3-x

Solve.

[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]

Therefore, the correct answer is x=3.

Answer:

x = 3Option A is the correct answer .

Step-by-step explanation:

In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]

Step 1 : Solving the parenthesis on left hand side :

[tex]\longmapsto \:2x + 20 = x + 23[/tex]

Step 2 : Subtracting 20 on both sides :

[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]

On further calculations , we get :

[tex]\longmapsto \:2x =x + 3[/tex]

Step 3 : Subtracting x on both sides :

[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]

On further calculations, we get :

[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]

Therefore, value of x is 3 .

Now , we're verifying our answer by substituting the value of x in given equation :

2(x + 10) = x + 23

2 ( 3 + 10 ) = 3 + 23

2 ( 13 ) = 26

26 = 26

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct.

#Keep Learning

If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.


4 feet

5 feet

6 feet

7 feet

Answers

Answer:

6 feet

Step-by-step explanation:

took the test and got it right

Answer:

6 feet

Step-by-step explanation:

(c) 6 feet

Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27

Answers

Answer:

B) − 2/9

Explanation:

[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]

simplify by multiplying

[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]

simplify the following

[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]

[tex]\bold{Heya!}[/tex]

→ Answer :-

B) [tex]\sf{-\frac{2}{9}[/tex]

→  EXPLANATION :

[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]

Apply rule :  [tex]\sf{a(-b) = -ab}[/tex]

[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

Cross - cancel common factor: [tex]\sf{11}[/tex]

[tex]\sf{= -\frac{4}{18}[/tex]

Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]

[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]

Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]

[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]

Cancel common factor: [tex]\sf{2}[/tex]

[tex]\sf{-\frac{2}{9}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

I think area will me 24 sq unit

Explanation:

AC=6

BD=8

1/2 × 8 × 6 = 24

Plot the points then find the length of the to intersecting lines… D1 and D2 (please see photo)

The answer is 24units or the second selection.

If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).

O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8

Answers

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

f(x) = 3x + 5g(x) = -2x² - 5x + 3

Find (f + g)(x):

⇒ [tex]f(x) + f(g)[/tex]

[tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]

⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]

Combine like terms:

⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]

⇒ [tex]-2x^{2} - 2x + 8[/tex]

Answer: D. (f + g)(x) = -2x² - 2x + 8

75 ounces 5 pounds which one is greater​

Answers

Answer:

5 pounds

Step-by-step explanation:

5 pounds is 80 ounces, which is greater then 75 ounces.

Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50

Answers

Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

Don’t mind my answers I got them wrong but can you please help? I’ll award brainliest

Answers

Answer:

y=mx+b

Step-by-step explanation:

use that formula

Which of these is a nonlinear function

Answers

Answer:

C. y = 3/x + 1

Step-by-step explanation:

A linear function is, well, a line. The line goes on indefinitely without a stopping point.

In one of these functions, there is a line with a stopping point.

The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.

Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.

The radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?

f 48.98 m g 191.04 m h 24.49 m j 47.76 m

Answers

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πd

How does it apply here?

We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.

Solving

Step 1: Plug in your values.

[tex]2 * 3.14 * 7.8[/tex]

Step 2: Simplify.

[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98

Therefore, the correct answer is F. 48.98 meters.

A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?

Answers

Answer:

6

Step-by-step explanation:

10 runners

explanation:

1/4 x 10 = 2 1/2

The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?

Answers

Answer:

30

Step-by-step explanation:

red : blue = 5:3

since difference between 5&3 is automatically 2....then just add 0 to 3

Please solve the attached problem with all steps.

Answers

Answer:

x = 8

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant:  a straight line that intersects a circle at two points

Tangent: a straight line that touches a circle at only one point

Given:

tangent segment = xsecant segment = 4 + 12 = 16external secant segment = 4

⇒ x² = 16 · 4

⇒ x² = 64

⇒ x² = √(64)

⇒ x = ±8

As distance is positive, x = 8

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