Answer number 16 please thank you

Answer:

[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]

Step-by-step explanation:

Given:

Shape of object is pentagonal prism

Side of pentagon= 12mm

Apothem of pentagon= 5 mm

Volume of pentagonal prism= 2,850 cubic mm.

To find:

Hieght of pentagon prism= ?

Solution:

To find height of prism it's necessary to calculate the surface area of base,

[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]

[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]

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The required height of the pentagonal prism is 19 cm                              

Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.

Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.

In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.

The base area = 5/2 * side * perpendicular height to side from center.
                         = 5 / 2 * 12 * 5
                         = 150
The volume of the prism = base area * height
                              2850 = 150 * height
                             height = 2850/15
                                         =  19 cm

Thus, the required height of the pentagonal prism is 19 cm                              

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Answer

Who is your school?

Who is your class?

Who is the chapter

Answer:

x + 27y - 52 = 0.

Step-by-step explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (1-2)/(25- (-2))

= -1/27

Using the point slope form of a straight line:

y - 2 = -1/27(x- (-2))

y - 2 = -1/27x - 2/27

y = -1/27x  - 2/27 + 54/27

y = -1/27x + 52/27

Multiply through by 27:

27y = -x + 52

x + 27y - 52 = 0   <------- Standard form.

Step-by-step explanation:

follow these steps with tbe no. of -2 and - 3 you will come with answer

Answer:

- 21/10, -5/2 and -11/4.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero).

So three naumbers between - 2 and -3 are

-2.1, -2.5 and -2.75  which can be written as:

- 21/10, -5/2 and -11/4.

Answer:

443.14

Step-by-step explanation:

A=6ah+33a2

=6·4·15+3·3·42

≈443.13844

Answer:

I believe the answer is 88 if correct please consider brainliest

<3

Step-by-step explanation:

The vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)

By linear algebra we can use the definition of dot product to determine the relationship between two vectors, whose cases are described below:

And the expression for the cosine of the angle between the two vectors is:

[tex]\cos \theta = \frac{\vec u \,\bullet\,\vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]     (1)

Where [tex]\|\vec u\|[/tex] and [tex]\|\vec v\|[/tex] are the norms of the two vectors, which are determined by Pythagorean theorem.

Now we proceed to calculate the angle between the two vectors:

[tex]\cos \theta = \frac{(6)\cdot (-24)+(-9)\cdot (36)}{(3\sqrt{13})\cdot (12\sqrt{13})}[/tex]

cos θ = -1

Thus, the vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Answer:

a - 5 and a - b is the required experssion

Answer:

a-(-5);

a+5

a-(-b);

a+b

Answer:

Empirical probability

Step-by-step explanation:

Empirical probability is data collected from experiment and real-life situation.

The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.

[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=[tex]\frac{1}{2}[/tex]

your new rate is 1 to [tex]\frac{1}{2}[/tex]

So B is your answer.

Answer:

24 square units

Step-by-step explanation:

Hope the picture will help you

Answer: $19.59

Step-by-step explanation:

9.91 + 9.68 = 19.59

Answer:

What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go

Answer:

(x-1)^2 + (y-1)^2 = 16

Step-by-step explanation:

center, (h,k) = (1,1)     radius = 4

put in standard form for a circle

(x-h)^2 + ( y-k)^2 = r^2  

Check the picture below, so let's check the equations below hmmm

[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

Area of circle=πr^2

Step-by-step explanation:

Area of circle=πr^2

=22/7*21^2

=22/7*441

=9702/7

=1386 sq.inch

Step-by-step explanation:

1) 35×23 = 805

2) 800/40=20

3)170/10=17

4) 2000-805-800-170=225

5)225/15=15

Hence answers

1)805

2)20

3)17

4)225

5)15

Slope: 1

y-intercept: 8

Hope it helps.

Do comment if you have any query.

Answer:

47

Step-by-step explanation:

49x - 2

==> plug in x = 1

49(1) - 2

==> multiply 49 and 1

49 - 2

==> subtract 2 from 49

= 47

Answer:

47

Step-by-step explanation:

49x means 49×x

So substituting 1 into the equation gives us :

(49×1)-2

49-2

47

Therefore our answer is 47.

Answer:

7.72 miles

Step-by-step explanation:

Subtract 10.73 and 3.01 to find your answer

Answer:

Step-by-step explanation:

m

Answer:

0

Step-by-step explanation:

there are no lines os symmetry in this letter there are no straight lines that don't intersect

Answer:

0

Step-by-step explanation:

If you split it in half it is not a mirror image of itself..

Answer:

The hours students reported practicing their instruments last grading quarter were 29,  20,  36,  44,  30,  32,  and 40.

The mean hours students reported practicing their instruments is

✔ 33

.

The mean absolute deviation for the data is

✔ 6

.

Step-by-step explanation: answers.

Answer:

47

Step-by-step explanation:

because you know that a triangle is 180 degrees and you have the other two degrees, so all you have to do is add 90 (the little box in the corner means 90) +43=133 and subtract by 180 giving you 47 as your answer.

Answer:

Heya! ^^

let's first look at some terms that may help us understand the concept of the question better.

______________________________________

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

______________________________________

now let's come over what the question says.

we've been given a right angled triangle with measure of one of its angle as 43°.

we've to calculate the measure of the third angle named " x "

therefore ,

[tex]by \: angle \: sum \: property \: of \: triangle \\ \\ 90\degree + 43\degree + x = 180\degree \\ \\ 133\degree + x = 180\degree \\ \\ x = 180\degree - 133\degree \\ \\ x = 47\degree[/tex]

thus the measure of x is 47°.

hope helpful :D

Let's first understand the information the problem gives us

⇒ 6000 nails were done

    ⇒ 2% of the 6000 nails were faulty

       ⇒ 2% is equivalent to 2/100

          ⇒ therefore 2/100 of 6000 nails were faulty

             ⇒ 2 out of every 100 nails were faulty

                 ⇒ written mathematically

                    [tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]

Thus there were 120 faulty nails

Hope that helped!

The expression is undefined when x=3 or -3

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

[tex]9-x^{2} =0\\[/tex]

We want [tex]x^2[/tex] to be positive so divide everything by -1

[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]

Use difference of two squares (DOTS) to factor

[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]

So x cannot be 3 or -3