Find the area of the sector. Use π = 3.14.
120°
11 mi

Answers

Answer 1

Answer:

Step-by-step explanation:

Find The Area Of The Sector. Use = 3.14.12011 Mi

Related Questions

Can someone help me? It’s 7th grade geometry

Answers

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Calculating the area of a sector

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

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

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]

[tex]A = \frac{1}{4}\times \pi \times4[/tex]

[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

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URGENT NEED ANSWER NOWWWW!!! WORTH 27 POINTS!!!

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

A. 9+x=108
B. x=108-9
C. x=108/9
D. x=9/8

Answers

The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

How many pieces of candy would each kid receive?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

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Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
334. (9c − 2d)(9c + 2d)

Answers

Answer:

The product is the difference of squares is [tex]$$(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (9c-2d)(9c+2d).We have to multiply the given expression.Square the first term 9c. Square the last term 2d.

[tex]$$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$$[/tex]

help please!!! need it asap
no wrong answers

Answers

Displacement at t = 0 :

x = 4 cos(π (0) + π/4)x = 4 cos(π/4)x = 4 × 1/√2x = 2√2 meters

Displacement at t = 1 :

x = 4 cos (π (1) + π/4)x = 4 cos (π + π/4)x = -4 cos(π/4) [∴ cos is negative in the interval (π, 3π/2)x = -4 × 1/√2x = -2√2 meters

Displacement between t = 0 and t = 1 :

-2√2 - 2√2[tex]\boxed {-4\sqrt{2}}[/tex]

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

[tex]-4\sqrt{2} m[/tex]

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

[tex]x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m[/tex]

t = 1,

[tex]x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }[/tex]

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= [tex]-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m[/tex]

Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Things we already know:

Angle B = 56 degrees

Angle C = 90 degrees

Side CB = 7 units

We need to find angle A and sides AC and AB.

We know that every triangle has its angles equal to 180 degrees

angle A + B + C = 180 degrees

angle A + 56 + 90 = 180 degrees

angle A + 146 = 180 degrees

subtract 146 from both sides.

angle A = 34 degrees

Now we know angle A.

To find side AC, we can use the tangent of theta.

The hyp (hypothenuse) = AB

The adjacent side = CB

And the opposite side = AC

The tangent of theta is the opposite side divided by the adjacent side.

[tex]tan(56) = \frac{AC}{7}[/tex]

Now we just need to solve for AC.

multiply 7 on both sides, to cancel it out on the right side.

7tan(56) = AC

10.3 = AC

Now we know the side AC.

AC = 10.3 units

To find the hypothenuse, we can use the sine, cosine, or the Pythagorean theorem.

I will choose the Pythagorean theorem, though.

[tex]7^{2} +10.3^{2} =AB[/tex]^2

49 +106.09 = AB^2

AB = 155.09 units^2

AB = 12.4 units

And now we know everything about this triangle.

A = 34 degrees

C = 90 degrees

B = 56 degrees

AC = 10.3 units

CB = 7 units

AB = 12.4 units

Hope I Helped!

Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0

Answers

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

What are the zeros of a function f(x)?

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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what would not be a step in solving 18=2(4+x)

Answers

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

9 out of 20 students who graduate from J. H. S. of 1,2000 students gained admission to S. H. S. How many students gained admission?

Answers

540 students gained admission

How to determine the number of students?

The given parameters are:

Students = 1200

Proportion that gain admission. p = 9/20

The number of student that gain admission is calculated as:

Admission = p * Students

So, we have:

Admission= 9/20 * 1200

Evaluate

Admission= 540

Hence, 540 students gained admission

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How many square meters are there in a floor that is 9 meters long by 14 meters wide?

Answers

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter

24. Find the slope and y-intercept of the line.
Y=7/5x-3

Answers

Answer:

slope = m = 7/5

y-intercept = b = -3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 7/5 x - 3

slope = m = 7/5

y-intercept = b = -3

Answer:

7/5 => Slope,-3 => y-intercept,

Step-by-step explanation:

If a line's equation has the form y=mx+b, then finding the slope can be done within 2 seconds.

m is the Slope,

and the slope is always multiplied by the x co-ordinate.

b is the y-intercept,

and it's added to the product of the slope and the x co-ordinate.

Both the slope and the y-intercept can be any real number.

∵, slope = [tex]\boxed{\rm{Slope=7/5}}[/tex]

∵, y-intercept = [tex]\boxed{\rm{Y-intercept=-3}}[/tex]

done !!

[tex]\orange\hspace{300pt}\above2[/tex]

Do all these angles equal 360 degrees?

Answers

Answer:

The sum of the interior angles of any quadrilateral is 360 °

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a success and a failure for this experiment? p (success) = one-fourth; p (failure) = three-fourths p (success) = one-fourth; p (failure) = one-half p (success) = three-fourths; p (failure) = one-fourth p (success) = 1; p (failure) = 0

Answers

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0  generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

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HELP PLEASE. 3(2x+3)=15​

Answers

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

(a) Work out
8 × 1/1/1
x
3
Give your answer as a mixed numbers

Answers

Answer:

well.. 1/1/1 would be 1.

8 x 3 = 24

24x 1 = 24

sooo the answer would be 24...

Step-by-step explanation:

The product of the given expression 8 × 1/1/1 x 3 would be equal to 24.

What are proper and improper fractions and how to convert mixed fraction to simple fraction?

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

We know that 1/1/1 would be 1.

So,

8 x 3 = 24

24x 1 = 24

Thus, the answer would be 24.

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what is slope of line graped below?

Answers

The slope of the line is 1

to find the slope its rise (y value)/run (x value); the equation is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plugging the values from the graph into the equation:

[tex] \frac{4 - 2}{4 - 2} [/tex]

which simplifies to simply 1

Find the value of X:

Answers

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

Find the Value of -3/7 ÷ 4
please answer fast

Answers

Answer:

Step-by-step explanation:

george drives the first 30 miles of a trip at a constant rate of 40 miles per hour. if he drives the remaining 75 milse of the trip at a constrant rate of 50 miles per hour, what is his average speed for the entire trip

Answers

His average speed for the entire trip is 46.6 mph

We have,

30 miles at 40 mph

time taken at this speed = 30/40 = 3/4 hours

..

75 miles at 50mph

time taken = 75/50 = 3/2 hours

Total time taken = 3/4 +3/2 hours=3+6 /4

=9/4 hours

Total distance traveled = 30+75 = 105 miles

Average speed = 105/ 9/4

=105*4/9

46.6 mph is the average speed.

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A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message "happy birthday!", Happy Holidays". Or "happy anniversary!". What is the greatest possible amount of different cards that this store sells?

Answers

The greatest number of different cards based on the permutations is 144.

How to compute the value?

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

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Does this graph represent a function? Why
or why not?
A. No, because it is not a straight line.
• B. No, because it fails the vertical line test.
C. Yes, because it passes the vertical line test.
D. Yes, because it passes the horizontal line test.

Answers

C. Yes because it passes the vertical line test

The graph above is a transformation of the function x2 Write an equation for the function graphed above

Answers

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]

We summarize (1) and (3):

[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]

Substitute b=-1 into (2):

[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]

From (5) subtract (4):

[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]

Substitute a=0,5 into (4):

[tex]0,5+c=-1\\c=-1,5.[/tex]

Hense:

y=0,5x²-x-1,5.

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5

Answers

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

Answer:

Step-by-step explanation:

y = 2/5x + p

We now that passes through (–2, 4)

 2/5 × (-2) + p = 4

⇔ -4/5 + p = 4

⇔ p = 4 + 4/5

⇔ p = 20/5 + 4/5

p = 24/5

⇒ y = 2/5x + 24/5

Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE

Answers

Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors


Add: -8x8+ (-3x8 + 3)

Answers

Answer:

-11x^8 + 3

Step-by-step explanation:

-8x^8 + (-3x^8 + 3)

-8x^8 - 3x^8 + 3

-11x^8 + 3

-8x8+(-3x8+3)=
-64+(-24+3)=
-64+(-21)=
-85

Answer: -85

This graph shows the solution to which inequality?

Answers

The graph shows the solution to inequality is; y > ¹/₃x - 2

How to interpret Inequality Graphs?

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

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help please!

| 2x^2 + 5x + 3 | > 0
solve the inequality

Answers

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x² + 3x-5=0
A. x = 1
B. x=-1
C.
D. x==2
E.
F.
x==2
X
=
+√8
x = 3-1
SUBMIT

Answers

Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

[tex]x = \dfrac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}[/tex]

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

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Find the equation of the line parallel to y = 2x - 4 that runs through the point (-2, 4).

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

Equation of line:

  Parallel lines have same slope.

 y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

         y - y₁ = m(x - x₁)

        y - 4  = 2(x - [-2] )

       y - 4   = 2(x + 2)

       y -4   = 2x + 4

             y = 2x + 4 + 4

        [tex]\sf \boxed{y = 2x + 8}[/tex]

I NEED THIS FAST! :(

What was the original price of the sneakers?

Answers

Answer:

n=45

Step-by-step explanation:

[tex]n=\dfrac{54.100}{120} \\\\n=45[/tex]

Evaluate each polynomial when a=3, b=5 , c=10.
1. 10a - 15
2. -5b^3 +7b+10
3. 6abc+ 4a^2

Answers

Answer:

15; -580; 936

Step-by-step explanation:

1. 10a-15=10*3-15=15

2. -5b^3+7b+10=-5*5^3+7*5+10=-580

3. 6abc+4a^2=6*3*5*10+4*3^2=936

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