Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

The slope of linear eqution of two variables x and y, i.e., 2x+3y = 6 is -2/3 and intercept is 2 .

The slope-intercept form expression of a linear equation is y = mx + c --------->(1)

Where m --> slope of the straight line and

c --> the x - intercept .

The expression for slope is represented as :

m = (y₂ - y₁) / (x₂ - x₁) ------>(2)

where (x₁, y₁) and (x₂, y₂) are any two points lying on the straight line. Once the slope m is determined then the general equation of the straight line can be determined easily.

Now we have , the equation in the problem statement is 2x + 3y = 6. firstly , we can rewrite it in the slope-intercept form as :

3y = 6 - 2x

=> y = 6/3 - 2x/3

=> y = -2x/3 + 6/3

=> y = (-2/3)x + 2

comparing the above eqution with eqution(1) we get , m = -2/3 and c = 2. So, slope and intercept of eqution 2x + 3y = 6 are -2/3 and 2 respectively.

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The question is incomplete. The complete question is :

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Solution :

Given the length of the wire = 22 feet

Horizontal distance between the pole and the point where the wire is attached = 10 feet

Therefore, from Pythagoras theorem, we get from the figure :

[tex]$AB^2=OA^2+OB^2$[/tex]

[tex]$OA^2=AB^2-OB^2$[/tex]

[tex]$OA^2=22^2-10^2$[/tex]

[tex]$OA^2=484-100$[/tex]

[tex]$OA^2=384$[/tex]

[tex]$OA=\sqrt{384}$[/tex]

      = 19.60 (approx)

Therefore, the height of the pole to the nearest hundredth is 19.60 feet.      

Answer:

B.) 19.60

Step-by-step explanation:

edge 2021

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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Answer:

67

6365/95 = 67

But if your counting METERS and SQUARE METERS

It would be 134

Answer:

5/6 x 3/2

Step-by-step explanation:

I think that would be correct out of all of those. I hope this helped!

(Please don't be mean if it's wrong, it's what I learned)

Answer:

what do i dohere?

Step-by-step explanation:

Answer:

8.04 ≈ 8 hours

Step-by-step explanation:

Given data:

parts produced per cycle = 8

Average measured cycle time = 8.36 minutes

Average measured stress time per cycle ( observed workers time) = 4.62 minutes

e.t.c

Determine the number of standard hours the operator works

Given that the operator works for 8 hours a day and produces 380 parts

First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100

Normal time for worker =  (4.62* 115) / 100 = 5.31 mins

Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins

Next; determine the Total standard time for Machine and worker  = ( normal time * ( 1 + Allowance factor )

Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins

while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins

Total standard time = 5.84 + 4.3 = 10.14 mins

Finally determine the standard hours the operator works

Standard hours  = (Standard Piece Time* Pieces produced) / 60

where ; Standard piece time  = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins

hence ; Standard hours  = ( 1.27 * 380 ) / 60 = 8.04 hours

Answer: $327.45

Step-by-step explanation:

Since £1 = €1.11, we need to convert £236 into euros first and this will be:

£1 = €1.11

£236 = €1.11 × 236 = €261.96

Then, we will convert the euros to dollars which will be:

€1 = $1.25

€261.96 = $1.25 × 261.96 = $327.45

Therefore, Mujeeb will get $327.45.

Answer:

Step-by-step explanation:

The area of a rectangle can be calculated by the formula:

= Length * Width

As we have the length and the area, we can make the width the subject of the formula to solve for it:

116 = 4 * width

Width = 116/4

= 29 mm

Perimeter is:

= Length + Length + Width + Width

= 4 + 4 + 29 + 29

= 66 mm

Answer:1000000

Step-by-step explanation:

The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values ​​of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.

Absolute Value Equation:

An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.

Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values ​​of a, h, and k affect the value of the function.

The vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.

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Answer:

b. exactly one solution

Step-by-step explanation:

-5(z+1)=-2z+10

(first, distribute the 5 into the parenthesis)

-5z-5=-2z+10

(next, move the variables to the left and constants to the right)

-5z+2z=10+5

(combine like terms)

-3z=15

(isolate to variable to find the solution)

z=-5

i hope this helps :)

Answer:

Here's an answer so you can give the other person brainliest :)

Step-by-step explanation:

Answer:

the answer is b

Answer:

Emily gets 35 marbles and Asif gets 7 marbles.

Step-by-step explanation:

let 5x and x be marbles Emily and Asif get.

5x + x = 42

or, 6x = 42

or, x= 7

5x = 5×7=35

x =7

Answer:

hi

Step-by-step explanation:

Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.

The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.

Given:

The cycle's most crucial component is bacteria.

The nitrogen is changed between states by bacteria so it can be utilised.

Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.

Then, the plants provide the nitrogen for the animals.

Hence, Bacteria convert gaseous nitrogen into ammonia.

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Answer:

it's "c" or the third option

Answer:

The radius and height of the cone are 3.41 cm and 20.46 cm respectively.

Step-by-step explanation:

Given that,

The volume of a conical candle is 250 cm³.

The height of candle is 3 times of its diameter.

h = 3d  (d = 2r, radius)

So,

h = 6r

The formula of volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]

Height, h = 6r = 6(3.41) = 20.46 cm

Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.

The product of 2p 7 3p2 4p 3 is 756p7.

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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Answer: 416

Step-by-step explanation:

Answer:

416

Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.

I hope this helps!!

Answer:

The value of g(4) of the given function is 56.

1287 combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

You win the jackpot if you match all six numbers. You receive a lesser fixed prize if you partially match some of the numbers.

Divide the number of winning lottery numbers by the total number of available lottery numbers to discover the probability of winning any lottery. Use the formula if the numbers are picked from a set and the order of the numbers is unimportant.

To find the winning combination we use the following formula

n !/ r!( n – r ) !

Where n = total number of to be drawn

r = the number which are drawn

In this question, n = 13, and r = 5

from the formula

13 !/5!( 13 – 5 ) !

= 13! / 5! 8!

= 13*12*11*10*9*8! / 5*4*3*2*1*8!

= 154,440 / 120

= 1287

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Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.

Step-by-step explanation:

The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.

It's important to note that this is only true for acute angles, angles smaller than 90 degrees.

For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.

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Hi there!

[tex]\large\boxed{x = -12, 3}[/tex]

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3

On solving the provided question, we can say that by the help of unitary method total 28 + 40 = $ 68

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

One package of chicken costs  = $7

steaks cost  = $4 per pound.

cost of 4 chicken = 4 * 7 = $28

cost of 10 steaks = 4*10 = $40

total 28 + 40 = $ 68

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From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.

Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.

The elements that appear in both A and B at the same time are referred to as A and B.

From 1 to 8, the even numbers are 2, 4, 6, and 8.

The numbers 3, 4, 5, and 6 are in that order.

Look for the components that are the same in both sets.

A and B: {4, 6}

The union of the two sets is either A or B.

Combine the components from both sets.

A or B: {2, 3, 4, 5, 6, 8}

All the components that are absent from B make up its complement.

Except for the event elements, write all of the sample space's components.

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Answer:fraction that represents the international snow globes, =9//10

Step-by-step explanation:

Number of international snow globes ==12

Number of domestic snow globes ==18

total number of snow globes =12+18=20

fraction that represents the international snow globes=18/20=9//10

Answer:

y-intercept: (0, 5)

Step-by-step explanation:

This parabola has an equation of -x² + 4x + 5.

It's y-intercept is (0, 5).

It's x-intercepts or roots are (-1, 0) and (5, 0).

It's vertex is (2, 9).

___________________________________

Keep in mind that the y-intercept is when x = 0.

Answer:

x = 132

Step-by-step explanation:

720/6 = 120 (one angle of the hexagon)

540/5 = 108 (one angle of the pentagon)

120+108 = 228

360 - 228 = 132

x = 132

The value of y in the equation is y = x / 100.

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

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