What is the correct answer!

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Explanation:

Let's find the area of the hexagon. It's composed of two identical (aka congruent) trapezoids.

Each trapezoid has two parallel bases of 4+4 = 8 and 5 units. The height is 3. The area of one trapezoid is

area = height(base1+base2)/2

area = 3*(8+5)/2

area = 19.5

which doubles to 2*19.5 = 39 to represent the area of the entire hexagon

--------------------------------

The volume of any prism is found through this formula

volume = (area of base)*(height of prism)

We just found the area of the base to be 39. The height is unknown, so we'll call it h. The volume is given to be 234.

We end up with this equation

234 = 39h

which solves to h = 6 after dividing both sides by 39. This prism has a height of 6 units.

The height of the prism is 6 units

The hexagonal prism is a prism with hexagonal base.

An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Given,

Each hexagon is made from two congruent isosceles trapezoids

Therefore

Area of one isosceles trapezoids = [tex](a+b).(\frac{h}{2} )[/tex]

where,

a =4+4 = 8 units

b = 5 units

h = 3 units

Area of one isosceles trapezoids =[tex](8+5)(\frac{3}{2} )[/tex] =19.5 unit square

Area of  the hexagon = Area of two isosceles trapezoids

Area of hexagon = 2× 19.5 = 39 unit square

We know that,

Volume = Base area × Height

Volume = 234 cubic units

234 = 39 × h

h = [tex]\frac{234}{39}[/tex] = 6 units

Hence, the height of the prism is 6 units

Learn more about Hexagonal prism, Isosceles trapezoids and Volume here

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Last one or third one .

Note down:-

If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The system solutions are as follows:

If the lines are parallel that means an equal slope but different y-intercepts, then the system has no solution. Then the correct option is D.

More about the linear equation link is given below.

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Yes

Step-by-step explanation:

I believe so. Hope this helps

Answer:

No! They are not proportional!

Step-by-step explanation:

Proportional prices to the length means that

(price 1/length 1)=(price 2/length 2)=(price 3/length 3)

Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.

Answer:

The ratio of screen length to price in the first row is 16/160, which simplifies to 1/10.

The ratio of screen length to price in the second row is 20/180, which simplifies to 1/9.

The ratio of screen length to price in the third row is 24/200, which simplifies to 3/25.

Because 16/160 doesn't = 20/180 doesn't = 24/200, the ratios are not equivalent. This is not a proportional relationship.

Answer:

The coefficient of x²

a) 1

b) -4

the coefficient of x² is the number in front of the x²(variable).

Coefficient= Constanta

I hope this helps

if u have question let me know in comments ^_^

Answer:

a) 1.

b) -4.

Step-by-step explanation:

The coefficient is the number  multiplying x2. If it is 1 it is usually omitted.

Answer:

[tex]\huge\boxed{Option \ D}[/tex]

Step-by-step explanation:

4x + 5x = 180 [They are angles on a "straight" line so they will add up to 180 degrees)

Answer:

D

Step-by-step explanation:

The sum of angles that are formed on a straight line is 180.

4x + 5x = 180

[tex] \quad a^2-10a+16-6b-b^2[/tex]

$=(a^2-10a)-(b^2+6b) +16$

$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$

$=(a-5)^2-25-(b+3)^2+9+16$

$=(a-5)^2-(b+3)^2$

3rd step

Solution:-

[tex]\\ \sf\longmapsto -2x+8-3x=7[/tex]

[tex]\\ \sf\longmapsto -2x-3x+8=7[/tex]

[tex]\\ \sf\longmapsto -5x+8=7[/tex]

[tex]\\ \sf\longmapsto -5x=7-8[/tex]

[tex]\\ \sf\longmapsto -5x=-1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-1}{-5}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{1}{5}[/tex]

Answer:

314 cm

Step-by-step explanation:

If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:

1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)

17.4x = 34 + 14x

3.4x = 34

x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.

Answer:

2

Step-by-step explanation:

2.034

We are rounding to the ones place.

To round, look at the digit to the right of which we are rounding. In this case, it is 0.

0 is less than 5, so we just keep the 2.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

2

Step-by-step explanation:

2.034 can be rounded to 2.000, or 2. This is because the digit after the two in the tenths place, 0, is less than 5.

Brainliest, please!

Answer:

d. (9, 13)

Step-by-step explanation:

5x-3y=6  /*6

6x-4y=2  /*(-5)

30x - 18y = 36

-30x +20y = - 10

            2y = 26

              y = 13

5x-3y=6

5x - 3*13 = 6

5x - 39 = 6

5x = 45

x = 9

(9, 13)

Answer:

54.528

Step-by-step explanation:

Answer:

r ≈ 12 cm

Step-by-step explanation:

arc length = circumference × fraction of circle, that is

2πr ×[tex]\frac{60}{360}[/tex] = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r = [tex]\frac{4525.2}{120\pi }[/tex] ≈ 12 cm

Answer:

x = ay/(wx+dx)

Step-by-step explanation:

ay/x - dx = wx

ay/x = wx + dx

ay = x(wx+dx)

x = ay/(wx+dx)

Answer:

Water freezes at 32 °F.

Answer:

please mark me brainlist

Step-by-step explanation:

a) Let X be the random variable the number of customers asking for water.

X ~B(10,0.6)

= P(X = 6) =( 0.6)6 ( 0.4)4 10!/6 !*4!

= 0.2508

Y ~B(10,0.4)

= P(Y = 4)=( 0.6)6 ( 0.4)4 10!/6 !*4!

= 0.2508

The probability that exactly 6 ask for water with their meal is calculated by binomial distribution and the value is P ( x = 6 ) = 25.08 %

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability that exactly 6 ask for water with their meal be P ( x = 6 )

Now , an average of 3 out of every 5 customers ask for water with their meal

So , the probability of getting a success p = 3/5 = 0.6

The probability of getting a failure q = 1 - p = 0.4

The number of trials = 10

The number of successes x = 6

So ,

Probability that exactly 6 ask for water with their meal be P ( x = 6 ) is

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

Substituting the values in the equation , we get

P ( x = 6 ) = [ 10! / ( 4 )! 6! ] ( 0.6 )⁶( 0.4 )⁴

On simplifying the equation , we get

P ( x = 6 ) = 0.2508

P ( x = 6 ) = 25.08 %

Therefore, the value of  P ( x = 6 ) is 25.08 %

Hence , probability that exactly 6 asks for water is 25.08 %

To learn more about binomial distribution click :

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Answer:

(x+6)(x+6)

Step-by-step explanation:

x^2 + 12x + 36

Factor

What two numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6)(x+6)

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

-7 = b

Answer:

B. 2.7 g

Step-by-step explanation:

The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:

[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\ Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent[/tex]

Given that:

Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:

[tex]A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g[/tex]

Answer:

Step-by-step explanation:

Let equal sides of an isosceles triangle = a inches

Base = [tex]\frac{1}{2}a+2[/tex] inches

Perimeter  = 32 inches

a + a + [tex]\frac{1}{2}a+2[/tex] = 32

[tex]2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\[/tex]

Subtract 2 from both sides

[tex]\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2[/tex]

a = 12 inches

base = [tex]\frac{1}{2}*12+2[/tex]

        = 6 + 2

Base = 8 inches

Answer:

seven and eight tenths is greater than three and four tenths

Please explain in english

Answer:

Đáp án: 180km

Step-by-step explanation:

Giải thích các bước giải:

Gọi quãng đường AB là x (km)

            (x > 0)

Thời gian ô tô đi từ A -> B là x/60 (h)

Thời gian ô tô đi từ B -> A là x/45 (h)

Vì thời gian cả đi và về hết 7h

=> x/60 + x/45 = 7

=> x = 180 (TM)

Vậy quãng đường AB là 180 km

[tex]\\ \sf\longmapsto 2x^2+3x^2+3(-1)=5x.x+5x.1[/tex]

[tex]\\ \sf\longmapsto 5x^2-3=5x^2+5x[/tex]

[tex]\\ \sf\longmapsto 5x^2-5x^2-3=5x[/tex]

[tex]\\ \sf\longmapsto 5x=-3[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-3}{5}[/tex]

Answer:

hello thereee

8 - 2v^2 we are suppose to facotrize...

2 ( 4 - v^2 )

2 ( 2^2 - v^2 )

apply identity a^2 - b^2

2 ( 2 + v ) ( 2- v )

done dana done.....

Answer:

n=   -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

5 + n

====   =   -1

4

Multiply both sides by 4

5 + n = - 1 * 4

5 + n = - 4

Subtract 5 from both sides

5-5 + n = - 4 - 5

n = - 9

Congratulations on being able to use latex.

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.

The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.

The external angle of the regular hexagon will be given as,

External angle = 360° / 6

External angle = 60°

Then the sum of the measures of the exterior angles of a convex hexagon will be

⇒ 60° x 6

⇒ 360°

The sum of the measures of the exterior angles of a convex hexagon will be 360°.

Then the correct option is A.

More about the regular hexagon link is given below.

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Answer:

if you have a ti-84 plus, input ur problem into the calculator

Step-by-step explanation: you may use calculator for answers

Answer:

The difference of A and D equals the complex number in row H in the table (6 − 10i):

A − D

=

-3 − 4i − (-9 + 6i)

=

-3 − 4i + 9 − 6i

=

-3 + 9 − 4i − 6i

=

(-3 + 9) + (-4 − 6)i

=  6 − 10i

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

1 kilo = 1,000 meters.

Step-by-step explanation:

In the picture.

The answer is X = 61°