help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Answer:

answer is 24

area of triangle=1/2 base*height

1/2*16*3=24

Answer:

24 sq. units

Step-by-step explanation:

Area of a triangle = Base x height ÷ 2

Base = 16

Height = 3

Therefore 16 x 3= 48 ÷2 = 24

I really hope this helps:)

Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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The number -32 belongs to set : A) integers, rational

Rational numbers are terminating or  repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.

Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.

Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.

Given number : -32.

Since, the number is terminating, it is rational.

Further, it is not a fraction or decimal, hence integer.

But since the number is negative, not a whole number.

Therefore A) Integers, rational is correct option.

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Answer:

The answer is option B.

Step-by-step explanation:

Let < D be x

Since the triangle isosceles < E is also the same as < D

Let < E also be x

Angles in a triangle add up to 180°

x + x + 102 = 180

2x = 180 - 102

2x = 78

Divide both sides by 2

x = 39°

Therefore m < D is 39°

Hope this helps you

Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

Answer:

The correct option is;

A. 30

Step-by-step explanation:

Given that the perpendicular bisector forms two other right angled triangles, we have;

For the larger right angled triangle, hypotenuse length = 100

For the smaller right angled triangle, hypotenuse length = 90

We note that;

y² = x² + 10²

z² = x² + 90²

100² = z² + y ²

Therefore we have;

100² = x² + 10² + z² =  x² + 10² + x² + 90² = 2·x² + 90² + 10²

10000 =  2·x² + 8200

2·x² = 10000 -  8200 = 1800

x² = 1800/2 = 900

x = 30

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

Answer:

Can't be determined.

Step-by-step explanation:

From the fact that the quadrilaterals are similar:

Corresponding sides are in proportion and

Corresponding angles are congruent.

We can't create a proportion, so there's nothing else that we can determine.

Answer:

Below.

Step-by-step explanation:

Similar figures have the same size but not necessarily the same size.

The respective sides will be in the same ratio in a similar figure.

So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.

Answer:

  [tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]

Step-by-step explanation:

Though it is not what you have written, we think you want to simplify ...

  [tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]

_____

When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).

Answer:

f(x)=2(x-3)^2

Step-by-step explanation:

vertex form: a(x-h)^2+k

so find the vertex (h,k) and use it to turn it into vertex form

Answer:

4 raised to 4 is 256

Step-by-step explanation:

Answer: 256

Step-by-step explanation:

Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 4 raised by 4 is: 4 x 4 x 4 x 4 and that multiplication results in: 256. I hope and it has helped you ;)

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

Answer:

112 degrees

Step-by-step explanation:

All corresponding, or reflected angles are the same. the angles BAC & BDC should be the same.

Answer:

C. 56

Step-by-step explanation:

right on edge

Step-by-step explanation:

Angles and sides go hand-in-hand. Although I don't see the actual triangle that's used, and that can affect my answer, the side opposite of the shortest angle will be the shortest, the side opposite of the middle angle will be the middle, and the side opposite the largest angle will be the largest. For example, if the shortest angle (m∠X = 51) is the top vertex, the base side will be the shortest.

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

Step-by-step explanation:

A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.

To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.

100a + 25b  ≤  2500

Answer:

A letter T is folded vertically through the middle.

Step-by-step explanation:

Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.

The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, two mirror images are created.

Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

Learn more about line of reflectional symmetry on:

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Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

Answer:

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Answer: b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Step-by-step explanation:

The general equation of a sphere is : [tex](x - a)^2 + (y - b)^2+ (z - c)^2 = R^2[/tex], where (a, b, c) represents the center of the sphere, R represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Given, Center of the sphere =  (2,-9,-1)

Radius = √r

Then, the equation of the sphere would be

[tex](x - 2)^2 + (y - (-9))^2+ (z - (-1))^2 = (\sqrt{r})^2\\\\\Rightarrow\ (x-2)^2+(y+9)^2+(z+1)^2=r[/tex]

Hence, the correct option is b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex] .

Answer:

[tex]a)41[/tex]

Step-by-step explanation:

[tex]x - 9 < 32[/tex]

[tex]by \: collecting \: like \: terms[/tex]

[tex]x < 32 + 9[/tex]

[tex]x < 41[/tex]

Answer:

B) 24

D) 40

E) 36

Step-by-step explanation:

x - 9 < 32

Add 9 on both parts.

x - 9 + 9 < 32 + 9

x < 41

x is lesser than 41.

24, 40, and 36 are lesser than 41 from the list.

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

Answer:

Third Choice: a = 2, b = -3, c = -27

Step-by-step explanation:

The equation to be solved with the quadratic formula must be written in the form

ax^2 + bx + c = 0

2x^2 = 27 + 3x

Subtract 3x from both sides. Subtract 27 from both sides.

2x^2 - 3x - 27 = 0

Now we see we have

a = 2, b = -3, c = -27

Answer: Third Choice

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times