in a circle of radius 28 cm, an subtends an angle of 45° at the centre, then find the length of the arc(in cm)​

Answer:

4,270 + 310d

Step-by-step explanation:

Let

d = number of days

Each food booth = 100 + 10d

18 food booth = 18(100 + 10d)

= 1,800 + 180d

Each game booth = 95 + 5d

26 game booth = 26(95 + 5d)

= 2,470 + 130d

Total amount the company is paid = total cost of food booth + total cost of game booth

= (1,800 + 180d) + (2,470 + 130d)

= 1,800 + 180d + 2,470 + 130d

= 1,800 + 2,470 + 180d + 130d

= 4,270 + 310d

Total amount the company is paid = 4,270 + 310d

Complete question :

At a certain bus station, 47% of all arrivals are late. Suppose a random

sample of 12 bus arrivals is examined. Using the binomial function, give the probability of ;

Atleast 8 late arrivals 2) At most 4 late arrivals

Answer:

P(x >= 8) = 0.1411 ;

P(x ≤ 4) = 0.2570

Step-by-step explanation:

Using the binomial probability distribution relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 47% = 0.47

1 - p = 0.53

n = 12

A.)

Atleast 8 late arrivals

P(x >= 8) :p(x = 8)+p(x =9)+p(x=10)+p(x=11)+p(x=12)

Using a binomial distribution calculator to save computation time :

P(x >= 8) = 0.141096

P(x >= 8) = 0.1411

B.)

P(x ≤ 4) = p(x=0)+p(x=1)+p(x=2)+p(x=3)+p(x=4)

Using a binomial probability calculator ;

P(x ≤ 4) = 0.25697

P(x ≤ 4) = 0.2570

Answer: No solutions

Step-by-step explanation: If you solve the problem all the way, you get 0 = 4 which is not valid so there is simply no solution

The given equation 3(2x−1)+5=6(x+1) has no solution. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given equation ⇒

⇒= 3(2x−1)+5=6(x+1)

Simplify the above expression,
⇒ 6x - 3 + 5 = 6x + 1
⇒    2 ≠ 1

Thus, the given equation has no solution.

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Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

[tex]-y=-2x+3[/tex]

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

[tex]y=2x-3[/tex]

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

[tex]\frac{30}{70}[/tex] × 100 = 42.86%

[tex]\frac{12}{30}[/tex] × 100 = 40%

[tex]\frac{9}{21}[/tex] × 100 = 42.86%

[tex]\frac{6}{14}[/tex] x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

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Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

Answer:

it's 3.12 it's super easy it is 3.12 trust me you won't get it wrong

Answer:

Pretty sure it's B

Step-by-step explanation:

MJH = 120

Let TJH = x

You’re told MJT is 4 times TJH

So you have 4x + x = 120

Simplify: 5x = 120

Divide both sides by 5:

X = 24

TJH = x = 24 degrees.

JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees

So MJA = 120 - 24 - 24 = 72

MJA = 72 degrees

Answer

34MJT

Step-by-step explanation:

did it on edge

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7\times 10^{-4}}[/tex]

[tex]\rightarrow\mathsf{7\times\dfrac{1}{10\times10\times10\times10}}[/tex]

[tex]\mathsf{= \dfrac{7}{10\times10\times10\times10}}[/tex]

[tex]\mathsf{10\times10\times10\times10=100\times100=10,000=\bf 10^4}[/tex]

[tex]\mathsf{=\dfrac{7}{10^4}}[/tex]

[tex]\mathsf{=\dfrac{7}{10,000}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Possible ANSWERS: }\mathsf{\bf {\dfrac{7}{10^4}\ or \ \dfrac{7}{10,000}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

75

Step-by-step explanation:

Answer:

the angle that is 75 degrees

Step-by-step explanation:

Because the longest side is always opposite of the largest angle and the smallest side is always opposite of the smallest angle.

Answer:

x = 5,-2

Step-by-step explanation:

Multiply the whole equation by 3(x+1) to get rid of the denominator.

[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]

Then we solve the equation.

[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]

Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2

Answer:

The part of the bridge that opens is 50 ft.

Step-by-step explanation:

The given parameters of the drawbridge are;

The entire length of the bridge = 100 feet

The height of the isosceles trapezoid formed = 25 feet

The angle at which the drawbridge meets the land ≈ 60°

Therefore, the part of the bridge that opens = The top narrow parallel side of the isosceles trapezoid

The length of each half of the bridge = (The entire length)/2 = 100 ft./2 = 50 ft.

Let 'x' represent the path of the waterway still partly blocked by each half of the bridge inclined

∴ x = 50 × cos(60°) = 25

x = 25 ft.

The path covered by both sides of the drawbridge = 2·x = 2 × 25 ft. = 50 ft.

The part of the bridge that opens = The entire length - 2·x

∴ The part of the bridge that opens = 100 ft. - 50 ft. = 50 ft.

The part of the bridge that opens = 50 ft.

Answer:

Sorry, I was on my phone. Its (2,3)

Step-by-step explanation:

Answer:

(2,3) is the answer

Step-by-step explanation:

Answer:

$9015.20

Step-by-step explanation:

A = 4000[1 + (.063/4)]^13·4

Answer:

3276

Step-by-step explanation:

4000(6.3*13)÷100

Answer:

150a

Step-by-step explanation:

Answer:

(-13,-20)

Step-by-step explanation:

We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7

and the second equation is y = 2x+6

Therefore, we have two equations.

[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]

Because both equations are equal (y=y)

x-7=2x+6

-7-6=2x-x

-13=x

We know the value of x, but not y-value. We substitute the value of x to get the value of y.

Substitute in any given equations which I will be substituting in the first equation.

y=-13-7

y = -20

Therefore when x = -13, y = -20

In coordinate form, we can write as (-13,-20).

If you have any questions, feel free to ask.

Step-by-step explanation:

area of a quadrilateral is b x h

if the base is 7 the height is x and the area is 63 then:

7x=63

divide both sides by 7

7/7x=63/7

x=9

Hope that helps :)

Answer:

area of trapezoid = 1/2×(a+b)×height

area of trapezoid =1/2×(15m+7m)×7m

area of trapezoid =1/2×22m×7

area of trapezoid =77m²

area of trapezoid =1/2×(a+b)×height

area of trapezoid =1/2×(9ft+12ft)×4ft

area of trapezoid =1/2×21ft×4ft

area of trapezoid =42ft²

Answer:

the answer is 45 over 6

Step-by-step explanation:

A shortcut is "2 x _____ is 6", which is 3.

Multiply 15 by 3 also, to get 45,

45/6

Answer:

181 feet

Step-by-step explanation:

From the the diagram attached ,

Sinθ = a/b..................... Equation 1

Where θ = angle to the horizontal, a = Height of the tower, b = length of the wire.

make b the subject of the equation

b = a/sinθ................. Equation 2

Given: a = 128 feet, θ = 45°

Substitute these values into equation 2

b = 128/sin45°

b = 128/0.7071

b = 181 feet

b = 181 feet

Answer:

First answer choice

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Step-by-step explanation:

(-2,1), (-7,2)

[tex]y ^{2} - y ^{1} \\ x ^{2} - x ^{1} [/tex]

[tex]y ^{2} = - 7[/tex]

[tex]y ^{1} = 1[/tex]

[tex]x ^{2} = 2[/tex]

[tex]x^{1} = - 2[/tex]

[tex]m = \frac{ - 7 -( 1)}{2 - ( - 2)?} [/tex]

[tex]m = \frac{ - 8}{4?} [/tex]

[tex]m = - 2[/tex]

I only know how to find the slope.

Answer:

EF = 8

Step-by-step explanation:

BC is half of AB, which means that DE will be half of EF. So if DE is 4, which is half of EF, then EF must be 8.

hope this helped! :)

Answer:

1

70 75

60 65

80 85 90

o

60 65

70 75 80 85 90

60 65 70 75 80 85 90

o

60 65

70 75 80 85

90 95 105 120 125 130 135 140 145

The box and whisker plot which correctly displays the given data set is option 3.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given is a data set.

88  85  86  82  66  75

A box and whisker plot is used to summarize the data using boxes which shows the quartiles in the plot.

Arranging the data set in increasing order,

66  75  82  85  86  88

Highest value in the data set = 88

Lowest value = 66

The plot which correctly displays these two points are options 2 and 3.

Now, find the median of the data set.

Median is the average of 3rd and 4th element since this consist of even number of data sets.

Median = (82 + 85) / 2 = 83.5

This is correctly marked in option 3.

Hence the correct option is third one.

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The complete question is given in the image below. :

Answer:

About 11%

Step-by-step explanation:

45 divided by 5 = 9

100 divided by 9 = 11.11111 (It goes on forever)

Answer:

1/4

Step-by-step explanation:

Try it if you don't believe me :)

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

n x (3/4) = 3/16

The degree of the equation is one. Then the equation will be a linear equation.

Simplify the equation, then the value of the variable 'n' is calculated as,

n x (3/4) = 3/16

n = (3/16) x (4/3)

n = 4/16

n = 1/4

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

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