Mathematics College

This circle has a radius of 3 centimeters and a central angle with a measure of 60 degrees.What is the area of the shaded sector?

Answers

Answer 1

Answer:

Area of the shaded sector

42.41

Step-by-step explanation:

there u go hope it helps uhh

Answer 2

In the given diagram, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

Calculating Area of a Sector

From the question, we are to calculate the area of the shaded sector

The area of a sector can be calculated by using the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times \pi r^{2}[/tex]

Where θ is the central angle

and r is the radius of the circle

From the give information,

θ = 60°

r = 3 cm

∴ [tex]A = \frac{60 ^\circ}{360 ^\circ} \times \pi \times 3^{2}[/tex]

[tex]A = \frac{1}{6} \times 9 \pi[/tex]

A = 1.5π cm² OR 4.71 cm²

Hence, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

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Related Questions

For the function F(x) = 1/x+2, which of these could be a value of F(x) when xis
close to 2?

A 0.01
B 2
C 10,000
D -0.01

Answers

Answer:

B 2

Step-by-step explanation:

The computation of the value of f(x) in the case when x = 2 is shown below

As per the question, following function is given

F(x) = (1 ÷ x) + 2

Based on this, the x = 2

Now put the x value in the above equation

So,

= (1 ÷ 2) + 2

= (1 + 4) ÷ 2

= 5 ÷ 2

= 2.5

Hence the closet number is 2

Therefore the value of f(x) in the case when x = 2 is 2

Hence, the correct option is b.

Answer:

C. 10,000

Step-by-step explanation:

Which point is a solution to the given system of inequalities

Answers

The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.

A) (2, 0)

Plugging in the values of x=2 and y=0 into the inequalities, we get:

2+0 ≥ 2 which is true, and

4(2)+0 ≥ -1 which is true.

Therefore, point A (2, 0) is in the solution set of the given system of inequalities.

B) (0, 2)

Plugging in the values of x=0 and y=2 into the inequalities, we get:

0+2 ≥ 2 which is true, and

4(0)+2 ≥ -1 which is true.

Therefore, point B (0, 2) is in the solution set of the given system of inequalities.

C) (0, 3)

Plugging in the values of x=0 and y=3 into the inequalities, we get:

0+3 ≥ 2 which is true, and

4(0)+3 ≥ -1 which is true.

Therefore, point C (0, 3) is in the solution set of the given system of inequalities.

D) (0, -1)

Plugging in the values of x=0 and y=-1 into the inequalities, we get:

0+(-1) ≥ 2 which is false, and

4(0)+(-1) ≥ -1 which is false.

Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.

Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).

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Which point is in the solution set of the given system of inequalities?

x+y≥2

4x+y≥-1

A-(2, 0)

B-(0, 2)

C-(0, 3)

D-(0, –1)

2x - y = -2,X + y = -1

Answers

Answer:

x=-1, y=0

Step-by-step explanation:

Hope this is right!!

Determine the coordinates for the intersection of the diagonals in RSTK with vertices at
R(-8-2).S(-6, 7).
T(67), and U(4-2).
(-1.2.5)

Answers

Answer:

thanks for the points

Step-by-step explanation:

Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46

Answers

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?

Answers

Answer:

the correct answer is a

The correlation between the ages of husbands and wives if men always married woman who were :

(a) 3 years younger than themselves

Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.

Therefore, the correct answer is a.

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Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.

Answers

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

∴

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Choices would be
x = -0.4

x = 10

x = 2

X = -10

Answers

Answer:

The first one is

The second one is -

The third one is -.

The last one is

Step-by-step explanation:

ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy

Thank you so much and have a good day

Is the equation 2x + 5 = 1 true, false, or open? Explain.

Answers

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Answers

Answer:

B) d-5=310

Step-by-step explanation:

Hope this helps!

Simplify the expression:
(-4 + v)(3) - =

Answers

Answer:

-12 + 3v Is the answer

Hope this helps :)

8. A sum of $1200 was lent out for 2 years at S. I. The lender got $1536 in all.
Find the rate of interest p.a.

Answers

Answer: The rate of interest per annum is 64%

Can someone explain algebra with a paragraph or sum cuz ion understand

Answers

Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. It is the study of mathematical symbols and the rules for manipulating these symbols

Hope this helps.
:)

Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

-29 (29*100=2900)

________

2446

-232 (29*90=232)

________

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

What is Division Algorithm ?

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

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How would I solve this step by step?

Answers

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

Answer:

Easy so it's a 90 degree angle so 90 goes at the end.

Example: 3x+60=90

60-60=0

and then 90-60=30

now u have 3x=30

after this u divide by 3

30/3=10

x=10

answer is 10

and also can u plz answer my recent question

What is 20x - y = -40 in
slope-intercept form?

Answers

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved

Answers

Answer:

$9.00

Step-by-step explanation:

$45.00x20%=9

Answer:

Step-by-step explanation:

$45 X .2 = $9

Find the measures of the indicated angles.

Answers

t=62 v=118 w=42 I think

Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Answers

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]

[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]

PLZ HELP ASAP!!!!!

Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

I need help with this khan academy question

Answers

That will be =3x10 with the baby 3 on top of the 10 and that also equals 3000

what is the sum
of the sides

Answers

Answer:

haha you thought

Step-by-step explanation:

you got baited kid

Answer:

14-032093ooooooo345034844939530985088888xbfb990822

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?

A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.

Answers

Answer:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

ŷ = the predicted grade

We can say the slope is m=-3.64. This means that:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Pretty sure the guy above me is right, although I have not checked on edge.

(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.

kinda sucks how theres nothing for stats on here but i hope to help a little =================================

if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .

=================================

ED2021

The difference of ten times a number and three is -13

Answers

Answer:

10n - 3 = -13

Step-by-step explanation:

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