A) AAS
B)ASA
C)not enough information
D) SSS

Answer:

x/6=12+7

x/6=19

x=19*6

x=114

Answer:

B.

Subtraction property of equality.

Answer:

8835.73ft^3

Step-by-step explanation:

First:

Find area of the base circle.

Diameter is 15, so radius is 7.5

Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)

next find the volume of the cylinder

height is 40 so volume = 56.25pi*40 = 2250pi

next find the volume of the dome at the top.

you know the radius is 7.5

Use volume of sphere formula below :

4 /3πr^3

=1767.15

alright now add the two bolded values

1767.15+2250pi

= 8835.73

hope this helps

The landing space per step for the indoor staircase is solved to be

The vertical rise from first floor to second floor is 14 feet

The figure defined to be a right triangle and the dimensions are worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The right angle triangle comprises of

opposite = total vertical height

adjacent = total horizontal height = 13 feet

The total vertical height is calculated using tan, TOA

let the angle be x

tan x = opposite / adjacent

tan 47 = opposite / 13

opposite = (13 * tan 47) feet

opposite = 12 * (13 * tan 47) inch

opposite = 167.2895 inch

For a 14 inch vertical rise per step say number of step is y

14 y = total vertical height

14 y = 167.2895

y = 11.9493 steps ≈ 12 steps

The landing space for 12 steps is solved by

= horizontal space total in inch / number of steps

= 13 * 12 / 12

= 13 inches

vertical rise from the 1st floor to the 2nd floor

opposite = (13 * tan 47) feet

opposite = 13.94 feet

opposite = 14 feet (to the nearest foot)

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Answer:

She will have 7 dollars, with 96 cents remaining.

Step-by-step explanation:

326 pennies is $3.26

64 nickels is $3.20

15 dimes is $1.50

Add them all;

$3.26 + $3.20 + $1.50 = $7.96

She will have 7 dollars, with 96 cents remaining

Answer:

t = 15

Step-by-step explanation:

t - 12 = 3

t = 3 + 12

t = 15

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

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Answer:

Step-by-step explanation:

1+sin(θ)=√3/2+2/2

sin(θ) = √3/2

on unit circle this is where y is positive because sin so it will be pi/3 and 2pi/3

The addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.

Adding the polynomial

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

= x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

= x⁴ + x³ + 4x² - 3x - 2x + 1 + 8 - 9

= x⁴ + x³ + 4x² - 5x

Therefore, the addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.

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Answer:

100 yojan=how much km

1287.48

please brainlist

(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

For λ = 2.5, the function f(x) will be continuous at x = 0.

Given the function is,

f(x) = 1.5, when x = 0

    = 1 -2 sin x, when x < π/4

    = 1 + 2 sin x, when x > π/4

    = 1 + (sin λx/sin 5x)

Now,

\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]

                    = 1 + 2 sin (π/3)

                    = 1 + 2√3/2 = 1 + √3

Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

Now left hand limit is,

\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2

and right hand limit is,

\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2

Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5

Since f(x) is continuous at x = 0.

So, \(\lim_{x \to 0}\) f(x) = f(0)

1 + λ/5 = 1.5

λ/5 = 1.5 - 1 = 0.5

λ = 2.5

Hence the value of λ will be 2.5.

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Answer:

(0,2)

(3,0)

Step-by-step explanation:

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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Answer: b

Step-by-step explanation:

The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

If the sides of the triangles are a, b and c. There will be three condition

a + b > c

b + c > a

c + a > b

We have to check these condition

Part 1

The sides are 3, 5 and 7

3 + 5 > 11

8 < 11

It does not form a triangle

Part 2

The sides are 4, 18 and 23

4+18 >23

22 < 23

It does not form a triangle

Part 3

The sides are 5, 9 and 14

5+9 > 14

14 = 14

It does not form a triangle

Part 4

The sides are 7, 12 and 18

7+12 > 18

19 > 18

12 + 18 > 7

30 > 7

7+18 > 12

25 > 12

It forms a triangle

Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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The answer of the given question based on the Analyze the key features of the graph the answer is  the equation of the line shown in the graph is f(x) = -x - 3, and the equation for the transformed rational function is:

f(x) = 1/(x + 5) - 3.

A rational function is  function that can be expressed as  quotient of two polynomial functions, where denominator polynomial is not zero. It has  general form:

f(x) =P(x)/Q(x)

where P(x) and Q(x) are the polynomial functions in x, and Q(x) ≠ 0 for all values of x in function's domain.

Using the point-slope form, we can find the slope of the line as follows:

slope = (change in y) / (change in x) = (-3 - (-1)) / (-4 - (-2)) = -1

Then, we can choose one of the points and plug it into the point-slope form:

y - (-1) = -1(x - (-2))

Simplifying, we get:

y + 1 = -x - 2

we can rearrange the equation to slope-intercept form:

y = -x - 3

Therefore, the equation of the line shown in the graph is f(x) = -x - 3.

The general equation for a rational function is f(x) = a/(x-h) + k, where a, h, and k are constants that determine the vertical stretch/compression, horizontal shift, and vertical shift, respectively.

Using the given points, we can write two equations to solve for a and h:

(-1) = a/(-2 - h) + k

(-3) = a/(-4 - h) + k

Simplifying each equation, we get:

(-1) = a/(-2 - h) + k => k = (-h - a - 2)/a

(-3) = a/(-4 - h) + k => k = (-h - 3a - 4)/a

Setting the two expressions for k equal to each other and solving for h, we get:

(-h - a - 2)/a = (-h - 3a - 4)/a

-h - a - 2 = -h - 3a - 4

2a = 2

a = 1

Substituting a = 1 into one of the equations for k, we get:

k = (-h - 1 - 2)/1

k = -h - 3

So, the equation for the transformed rational function is:

f(x) = 1/(x - h) - 3

To find h, we can substitute one of the given points into the equation and solve for h. Let's use (-2, -1):

-1 = 1/(-2 - h) - 3

2 + 3 = -2 - h

h = -5

Therefore, the equation for the transformed rational function is:

f(x) = 1/(x + 5) - 3

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The equation of the line shown in the graph is f(x) = -x - 3, and the equation for the transformed rational function is f(x) = 1/(x + 5) - 3.

A rational function is  function that can be expressed as  quotient of two polynomial functions, where denominator polynomial is not zero. It has  general form:

f(x) =P(x)/Q(x)

where P(x) and Q(x) are the polynomial functions in x, and Q(x) ≠ 0 for all values of x in function's domain.

Using the point-slope form, we can find the slope of the line as follows:

slope = (change in y) / (change in x) = (-3 - (-1)) / (-4 - (-2)) = -1

Then, we can choose one of the points and plug it into the point-slope form:

y - (-1) = -1(x - (-2))

Simplifying, we get:

y + 1 = -x - 2

we can rearrange the equation to slope-intercept form:

y = -x - 3

Therefore, the equation of the line shown in the graph is f(x) = -x - 3.

The general equation for a rational function is f(x) = a/(x-h) + k, where a, h, and k are constants that determine the vertical stretch/compression, horizontal shift, and vertical shift, respectively.

Using the given points, we can write two equations to solve for a and h:

(-1) = a/(-2 - h) + k

(-3) = a/(-4 - h) + k

Simplifying each equation, we get:

(-1) = a/(-2 - h) + k => k = (-h - a - 2)/a

(-3) = a/(-4 - h) + k => k = (-h - 3a - 4)/a

Setting the two expressions for k equal to each other and solving for h, we get:

(-h - a - 2)/a = (-h - 3a - 4)/a

-h - a - 2 = -h - 3a - 4

2a = 2

a = 1

Substituting a = 1 into one of the equations for k, we get:

k = (-h - 1 - 2)/1

k = -h - 3

So, the equation for the transformed rational function is:

f(x) = 1/(x - h) - 3

To find h, we can substitute one of the given points into the equation and solve for h. Let's use (-2, -1):

-1 = 1/(-2 - h) - 3

2 + 3 = -2 - h

h = -5

Therefore, the equation for the transformed rational function is:

f(x) = 1/(x + 5) - 3

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The complete question is as follows:

Analyze the key features of the graph of shown below. f (x)

(-2,-1) (-4,-3)

Use rules of transformations and the parent function to formulate an equation for the rational function shown in the graph. Show all your work.

Answer:

Step-by-step explanation:

58.6667

Answer:

The answer is 58.6667

Answer:

Step-by-step explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC        {Midpoint theorem}

\(x +1 = \dfrac{1}{2}(4x - 6)\\\\\\ Multiply \ the \ whole \ equation \ by 2\\\\ 2*(x+1) =2*\dfrac{1}{2}*(4x - 6)\)

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

2x = 8

Divide both sides by 2

x = 8/2

x = 4

Answer:

7 square root x = 14​

Step-by-step explanation:

A radical equation will have the variable inside the radical

Answer:

D

Step-by-step explanation:

A radical equation persists when a radical includes a variable within it. In this case the x is in the radical, times 7. The rest of the answers do not have a variable in a radical.

Answer:

Anyone help with this

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

SOLUTION

By the empirical rule, the 68% will lies between

Where

68% will lies between the interval

For the percentage that lies between 7.5 and 9.5 we will have

According to the empirical rule,

Therefore 95% will lies between 7.5 and 9.7 pounds

For the percentage that lies between 7 and 10 we will have

According to the empirical rule,

Therefore 99.7% lies between 7 and 10 pounds

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T\(-1\)o get rid of the y value, subtract the 2 equations together.

\(6x=-6\)

\(x=-1\)

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

\(2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}\)

Thus,

x = \(-1\) and y = \(\frac{8}{3}\);    \((-1,\frac{8}{3} )\)

Hope this helped :)

Answer is below.

Let's call the height of the house "h".

The ladder is propped up against the house, forming a right triangle with the wall of the house and the ground. The ladder is the hypotenuse of the triangle, and the height of the house is one of the legs.

We know that the length of the ladder is 16 feet, and the angle of elevation is 62 degrees. We can use trigonometry to find the height of the house.

The trigonometric function that relates the angle of elevation to the height and length of the ladder is the tangent function:

tan(62) = h/16

To solve for h, we can multiply both sides by 16:

16 tan(62) = h

Using a calculator, we can evaluate the tangent of 62 degrees to get:

16 tan(62) ≈ 28.6

So the height of the house is approximately 28.6 feet.

Step-by-step explanation:

dy/dx = -3e^(-3x) = -3y

d^2y/dx^2 = 9e^(-3x) = 9y

The equality becomes

-3y +9y -6y = 0

Which is true, 0=0

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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1. The number of sides of the polygon is 8

2. The value of x is 36

A polygon can be defined as a flat or plane. The sum of a regular polygon is expressed as (n-2)180. The sum of exterior angle of a polygon is 360.

Therefore the sum of the interior is 5 times the exterior.

(n-2)180 = 5×360

180n - 360 = 1800

180n = 1800-360

180n = 1440

divide both sides by 180

n = 1440/180

n = 8

therefore the number of sides of the polygon is 8

2. The number of sides of the polygon is 6

Therefore the sum of angle in the polygon = 6-2)180 = 4× 180

= 720°

x+3x+6x+4x+4x+2x = 720

20x = 720

x = 720/20

x = 36

therefore the value of x is 36

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