What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps.​

The circumference of circle with radius 9.7inch is 60.916 inch.

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

A circle is a closed round object whose border points are all equally spaced apart from the center, which is a fixed point.

Given that :the circle with a radius of 9.7 inches

Circumference of a circle is [tex]2\pi r[/tex]

2 ×3.14×9.7 = 60.916

The circumference of circle with radius 9.7inch is 60.916 inch.

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Answer: 4.91(6)7

Step-by-step explanation:

divide 59/12 to get decimal form, also the 6 inside the brackets just mean the 6 repeats

Answer:

the first is a function and the parabola is not a function

Step-by-step explanation:

A simple way to know why is the vertical line test.

Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.

In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)

Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck

p expressed in terms of t is -2t.

                         [tex]P(x,y) = (\frac{mx_{2} + nx_{1} }{m+n} ),(\frac{my_{2} + ny_{1}}{m+n} )[/tex]

Given points on the straight line are A(2h, h), B(p, t), and C(2p, 3t).

B divides AC internally in the ratio 2 : 3.

Using the section formula, we determine the coordinates of B

[tex]B(p,t) =(\frac{2*2p + 3*2h}{2+3} ),(\frac{2*3t+ 3h}{2+3} )[/tex]

[tex]B(p,t) =(\frac{4p + 6h}{5} ),(\frac{6t+ 3h}{5} )[/tex]

Equate the points,

[tex]p =\frac{4p+6h}{5}[/tex]  

[tex]5p = 4p +6h[/tex]

[tex]p =6h[/tex]

[tex]t= (\frac{6t+ 3h}{5} )[/tex]

[tex]5t = 6t +3h[/tex]

[tex]t = -3h[/tex]

[tex]h =\frac{t}{-3}[/tex]

So, [tex]p =6h = \frac{6t}{-3} = -2t[/tex]

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If the ball drops 80 meters in the 4 seconds, the time it takes the ball to drop in the next 8 seconds is; 720 meters

We are told that a ball dropped vertically falls a distance of d in t seconds and that d is directly proportional to the square of t. Thus;

D ∝ t²

Thus;

D = kt²  

where d is the constant of proportionality.

We are given that D = 80 m when t = 4 seconds and as such we have;

80 = k*4²

k = 80/16

k = 5

Therefore, the equation of motion is;

D = 5t²

When t = 8 + 4 = 12 seconds, we have;

D = 5 * 12²

D =  5 * 144

D =  720 m

Therefore, the distance the ball drops in the next 8 seconds

= 720 - 80

= 640 m.

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Answer: it was changed by 9 members per week.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Open Circle: [tex]< , >[/tex]

Closed Circle: [tex]\leq ,\geq[/tex]

The slope of g(x) is [tex]\frac{-2}{5}[/tex] times the slope of f(x)

The x-intercept of f(x) is 8 more than the y-intercept of g(x)

As x approaches -∞, f(x) approaches ∞ and g(x) approaches -∞

Given,

f(x) = 10-5x

g(x) = -6+2x

The slope of f(x) = -5

The slope of g(x) = 2

Hence the slope of g(x) is [tex]\frac{-2}{5}[/tex] times slope of f(x)

For x-intercept assign zero value to f(x). Thus,

10-5x = 0

=> x = 2

So intercept of f(x) = 2

y-intercept of g(x) = -6

Hence x-intercept of f(x) is 8 more than y-intercept of g(x)

As x approaches -∞, f(x) = 10-(5 times (-∞)) = ∞

As x approaches -∞, g(x) = -6 + 2x = -6 + 2(-∞) = -∞

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Arithmetic sequences, often known as the common difference, are patterns of numbers that rise or fall at a consistent rate.

What is the formula for calculating the average difference between two arithmetic sequences?

D is equal to a(n) - a(n - 1), where a(n) is the last term and a(n - 1) is the term before it in the series.

Answer and justification ,A common difference exists in every arithmetic sequence. We can enter the values of an, a1, and n into the arithmetic sequence formula and find the common difference if a problem offers us an, a1, and n but not the common difference.

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Answer:

Step-by-step explanation:

I will explain it in a screenshot. That all the way is divided into 5 parts. And 4 of them were by bicycle, and 1 part is by walk. So we divide all the way to 5 and multiply to leftover 1 piece.

the answer is 14.28

Step-by-step explanation:

w/1.4_3.7=6.5

w/1.4=6.5+3.7

w/1.4=10.2

w=10.2*1.4

w=14.28

Answer: 14.28!

Step-by-step explanation:

I got a perfect 100% on my exam! This answer was right can i get brainliest?

Answer:

9p-0.9p^2

Step-by-step explanation:

Answer: 3.825, 3.180, 3.090, 3.008

Step-by-step explanation:

Answer: 3.008, 3.09, 3.18, 3.825

Step-by-step explanation: Least to greatest just means smallest to largest.

IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN

THEREFORE THE EQUATION WILL BE

[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]

THE EQUATION IS

[tex]y = - 2[/tex]

HOPE THIS HELPS

Answer:

The slope-intercept form would be: y = 0x - 2

Answer:

please rate as brainliest

Answer:

find gradient:

5-7/6-8

=-2/-2

=1

1 is the steepest possible slope which is not undefined

WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z

x°+144°=180°(angles on a straight line)

x°=180°-144°

x=36°

y°+56°=180°(angles on a straight line)

y°=180°-56°

y=124°

z°+y°+x°=180°(sum of angles in a triangle)

z°+124°+36°=180°

z°=180°-124°-36°

z=20°

For the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

As given in the question,

F, G, and H are the midpoints of the sides of ΔJKL.

F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL

Measure of the required sides are as follow:

FH = (KL / 2)                         (by midpoint theorem)

     = (48/2)

     = 24

JL = 2 x FG             (by midpoint theorem)

   = 2 x 37

   = 74  

KJ = 2 x GH             (by midpoint theorem)

    = 2 x 30

    = 60

FJ = GH = 30            (by midpoint theorem)

Therefore, for the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

The complete question is:

If F, G, and H are the midpoints of the sides  KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=​

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The solution to the questions are

The general formula is given as

A = Pe^rt

In this case, we have

P = Initial number of people

r = rate

t = time

From the question, we have

P = 8

r = 12% = 0.12

So, we have

A = 8 * e^0.12t

This means that t = 5

So, we have

A = 8 * e^(0.12 * 5)

Evaluate

A = 15

This means that A = 3,700,00

So, we have

8 * e^0.12t = 3,700,00

Divide by 8

e^0.12t = 46250

Take the logarithm of both sides

0.12t = log(46250)

This gives

0.12t = 4.7

Divide

t = 39

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The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C

given data

A(4, 4)

B(4, -4)

C(-4, -4)

D(-4, 4)

Looking at the given points the coordinates we can see that:

x coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4

y coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4

The inequality that is different from the one listed above is in option C making it the correct option.

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Answer:

[tex]y = - \frac{ {4x}^{2} }{5} + \frac{7x}{5} [/tex]

Answer:30.6452% decrease

Step-by-step explanation:

-Subtract starting value(original price) minus final value

-Divide that amount by the absolute value of the starting value

-Multiply by 100 to get percent decrease

-If the percentage is negative, it means there was an increase and not an decrease.

Answer:

 3⁶

------

 4¹⁵

Step-by-step explanation:

(        4⁻³      )³

(  -------------  )

(   3⁻² × 4²   )

Switch numbers with negative exponents

(         3²     )³

(  -------------  )

(   4³ × 4²   )

(         9     )³

(  -------------  )

(   64 × 16  )

(       9         )³

(  -------------  )

  (   1024  )

Multiply 9 and 1024 by the 3rd power

    729  

 -------------  

1,073,741,824

Simplified would be:

 3⁶

------

 4¹⁵

I hope this helps!

Answer:

sqrt(39) is between 6 and 7

Step-by-step explanation:

Start by looking at perfect squares

1^2 =1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2= 49

39 is between 36 and 49  

so sqrt(39) is between 6 and 7

These two functions' graphs do indeed intersect:

Formula 1: F(X)=2X+5

The formula 2=H(X)=3X+2

INTERSECT=(3,11)

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).Everywhere in mathematics are functions, which are essential for building physical connections in the sciences.

The first step is to generate two linear functions. I created the linear functions f(x)=2x+5 and h(x)=3x+2 (without a quadratic term). Then

You substitute a number for the x:

F(X)=2X+5 in Table 1 (H(X)=3X+2) Table 2

X=1——->Y=2+5=7 X=1------> Y=3·1+2=5

X=2---->

Y=2·2+5=9 X=2-----> Y=3·2+2=8

X=3---->

Y=3·3+5=11 X=3-----> Y=3·3+2=11

The two - dimensional functions will intersect at the X=3/Y=11 location, as demonstrated by both data tables, which is the answer.

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The table has an average rate of change of 3

The table represents the given parameter

From the table, we have the following interval is given as

[3, 7]

This can be rewritten as

x = 3 to x = 7

From the attached table, we have

f(3) = 7

f(7) = 19

The average rate of change of the function is then calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [19 - 7]/[7 - 3]

Evaluate

Rate = 3

Hence, the average rate of change is 3

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Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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The polynomial function is f(x) = x³ - 5x² + 8x + 96.

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