PLEASE HELP QUICK A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids. The volume of the prism is 234 cubic units. What is the height of the prism? 3 units 4 units 6 units 8 units

PLEASE HELP QUICK A Prism Has 2 Congruent Hexagonal Bases Like The One Shown. Each Hexagon Is Made From

Answers

Answer 1
Answer: C) 6 units

==========================================================

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.

Answer 2

The height of the prism is 6 units

What is Hexagonal prism?

The hexagonal prism is a prism with hexagonal base.

What is isosceles trapezoid?

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

What is Volume?

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

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Related Questions


In a bag of M&MS there are 4 green, 6 yellow and 8 blue candies. What is the probability of drawing a blue then a green if you replace the candy after the draw?

Answers

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

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Special right triangles

Answers

Answer: please find the attached files

Step-by-step explanation:

A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.

Please find the attached files for the solution

27
A radioactive substance decays at an annual rate of
13 percent. If the initial amount of the substance is
325 grams, which of the following functions i
models the remaining amount of the substance. In
grams, 1 years later?
A) f(t) = 325(0.877'
B) f(t) = 325(0.13)
C) f(t) = 0.87(325)
D) (t) = 0.13(325)

Answers

Answer:

the answer

Step-by-step explanation:

D) 0.13 (325)

HOPE THIS HELPS!

do you need the workout?

Plz help Solve: y-17= -37

Answers

Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

The answer would be -20

Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary​

Answers

Answer: See below

Explanation:

Find the area of circle:

A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2

Find the area of rectangle:

A = 3 x 4
A = 12

Find area of shaded region:

A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2

Find the area of the shape shown below.
12
5
5
units

Answers

Answer:

42.5 units²

Explenation:

The area of the square on the left is 5×5=25.

At the top you do 12-5=7 to find the length of the tringle.

Than it is 7×5=35 than this divided by two, so 17.5.

You add both areas 25+17.5=42.5

Answer:

42.5 square units

Step-by-step explanation:

Separate shape into a square and a triangle

Calculate the area of the square (5*5=25 square units)

Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)

Add together (17.5+25=42.5 square units)

max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s​

Answers

Answer:

x = 11.5 hours

Step-by-step explanation:

Set up a proportion:

[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]

661.25/460 = 1.4375

Multiply 8 by 1.4375 to find x:

8(1.4375) = 11.5

x = 11.5 hours

If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.

A. 9 B. 8 C. 7 D. 5​

Answers

So our set of numbers is  5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5  does equal 7 so therefore A is your answer

solve for x 13(x-3)=39

Answers

Answer:

x=6

Step-by-step explanation:

13(x-3)=39

Divide each side by 13

13/13(x-3)=39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6

Step-by-step explanation:

expanding we get

13x-39=39

13x=39+39

13x=78

x=78/13

x=6

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

Please answer quickly, what is the measure of c

Answers

Answer: B. 140

===================================================

Explanation:

The only given number here is the 20 degree angle. So we'll start with that. This is an inscribed angle, which doubles to 2*20 = 40, and this is the measure of the arc the inscribed angle cuts off (inscribed angle theorem). Consequently, it means that central angle b is also 40 degrees.

With b = 40, we can see that c = 180-b = 180-40 = 140. This is because b+c = 180 as the two angles are supplementary.

Answer:

140 degrees

Step-by-step explanation:

If the given angle is 20 degrees then the other unknown angle would also be 20 degrees because this triangle is an isosceles triangle. 20+20+20=180 proving the triangle sum theorem.

Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar

Answers

Answer:

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Step-by-step explanation:

La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:

[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]

[tex]x = \frac{56\,manzanas}{7}[/tex]

[tex]x = 8\,manzanas[/tex]

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.


A.) 170
B.) 300
C.)280
D.)155
Please help me

Answers

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]

which simplifies down a bit to

[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to

[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

a. Give Tommy your estimate of 0.27 probability in ratio form.

Answers

Answer:

0.27 expressed in ratio form is 27:100

Step-by-step explanation:

Before we give Tommy the estimate of 0.27 probability in ratio form, we shall need to turn 0.27 to fraction

Mathematically, that would be 27/100

Now expressing this in ratio form, we will have 27:100

f(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2

Answers

Answer:5

Step-by-step explanation:

To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?

Answers

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

What type of number is that? Multiple answers.

Answers

Answer:

A & C

Step-by-step explanation:

-9 is a whole number is rational

Which expression is equivalent 6+7n+4+8n?

Answers

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).

Answers

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0

complete the square to solve
f(x)=x^2+6x-7​

Answers


Answer: x = 1 and x = -7

Explanation:
x^2 + 6x - 7 = 0
x^2 + 6x + 3^2 = 7 + 3^2
(x + 3)^2 = 16
x + 3 = +-4 (square both sides)

x + 3 = 4
x = 1

x + 3 = -4
x = -7

if the sum of two angles is 200 grade and their difference is 20 degree. Find the angle?​

Answers

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

3y=-2x+1593 divide each side by 3

Answers

Answer:

y = -2x/3 + 531

Step-by-step explanation:

I need Help please answer :((

Answers

Answer:

Second option is the correct answer

[tex] {3}^{ - 4} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 8} . {3}^{4} = {3}^{ - 8 + 4} = {3}^{ - 4} [/tex]

Answer:

The answer is D because you multiply the exponents so -8 times 4 is -32

Hope this helps and plz mark branliest!

Step-by-step explanation:

20 points! Thank you :)

Answers

Answer:

[tex]\Large \boxed{x=-2 \ \mathrm{and} \ x=3}[/tex]

Step-by-step explanation:

The quadratic expression is given.

[tex]2x^2-2x-12=0[/tex]

Factor the left side of the equation.

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

Set the factors equal to 0.

[tex]x+2=0[/tex]

 [tex]x=-2[/tex]

[tex]x-3=0[/tex]

 [tex]x=3[/tex]

The two solutions work in the original equation. The solutions make the equation true.

The quadratic expression:

[tex]2 {x}^{2} - 2x - 12[/tex]

★ By split middle term,we get

[tex]2 {x}^{2} - 6x + 4x - 12[/tex]

[tex]2x(x - 3) + 4( x - 3)[/tex]

[tex](2x + 4) (x - 3)[/tex]

[tex]2x + 4 = 0 \: \: and \: \: x - 3 = 0[/tex]

[tex]2 x = - 4 \: \: and \: \: x = 3[/tex]

[tex]x = - 2 \: \: and \: \: x = 3[/tex]

Therefore , the two solution of given quadratic equations is -2 and 3.

(2.05 MC) Triangle PQR is transformed to Triangle P'Q'R'. Triangle PQR has vertices P(4,0), Q(0,-4) and R(-8,-4). Triangle P'Q'R' has vertices P'(1,0), Q'(0,-1), and R'(-2,-1). Part A: What is the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' Part B: Write The Coords of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis Part C: Are the two Triangles PQR and P"Q"R" congruent?

Answers

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent

Step-by-step explanation:

The coordinates of triangle PQR are;

P(4, 0)

Q(0, 4)

R(-8, -4)

The coordinates of triangle P'Q'R' are;

P'(1, 0)

Q'(0, -1)

R'(-2, -1)

Part A:

The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' can be found from the ratio of the respective coordinates as follows;

The ratio of the x, and y coordinates of the points are;

P'/P  = x'/x = 1/4, y'/y =0/0

R'/R = x'/x = -2/-8 = 1/4, y'/y =-1/-4 = 1/4

Therefore, the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' = 1/4

Part B: For reflection across the y-axis, we have;

Pre-image (x, y) becomes the image, (-x, y)

Therefore, we have;

Reflection of P'(1, 0) about the y-xis becomes P''(-1, 0)

Reflection of Q'(0, -1) about the y-xis becomes Q''(0, -1)

Reflection of R'(-2, -1) about the y-xis becomes R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are similar but they are not congruent as the dimensions of PQR are larger than the dimensions of the sides of triangle P''Q''R''.

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/4

(B) Coordinates of Δ P"Q"R"

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (4,0),

Q(0,-4)

R(-8,-4)

Coordinates of P'Q'R' are

P'(1,0)

Q'(0,-1)

R'(-2,-1)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = [tex]D= \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2 }[/tex]

Where D = Distance between two points [tex](X_1.Y_1) \; and\; (X_2.Y_2)[/tex]

from distance formula we can write that

[tex]PQ = \sqrt{(0-4)^2+ (-4-0)^2} }\\[/tex]

PQ = [tex]4\sqrt{2}[/tex]

Similarly

P'Q'= [tex]\sqrt{2}[/tex]

PQ /P'Q' = 4

hence the scale factor of dilation is 1/4 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

[tex](x,y ) \; as \; (-x,y)[/tex]

So the Coordinated of Δ P"Q"R" can be written as

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

For more information please refer to the link below

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I WANT TO PASS HIGH SCHOOL PLEASE HELP

Given that the quadrilateral EFGH is a trapezoid, m∠H = 62° and m∠HEG = 64° calculate m∠FEG

Answers

Answer:

m∠FEG == 54°

Step-by-step explanation:

you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.

first find the measure of m∠EGH from triangle EHG.

m∠H + m∠HEG + m∠EGH= 180°

62° + 64° + m∠EGH = 180°

m∠EGH=180° - 126°

m∠EGH=54°

due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.

m∠FEG = m∠EGH = 54°

m∠FEG =54°

the fastest land dwelling creature is the cheetah. fact or
opinion


Answers

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

Convert 1.2 radians to an
angle in degrees​

Answers

Answer:

Below

Step-by-step explanation:

Let x be the measure in degrees

● x/180 = 1.2/Pi

Cross multiply the values

● x*Pi = 180×1.2

● x = 216/Pi

Take Pi = 3.14

● x = 68.78 wich is approximatively 69°

Need help and will mark brainlist and thank You


In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees in angle ABO?

Answers

Answer:

  40

Step-by-step explanation:

Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...

  AOB +2ABO = 180° . . . . . sum of angles in the triangle

  100° +2ABO = 180° . . . . . . use the given value

  50° +ABO = 90°  . . . . . . . . divide by 2; next, subtract 50°

  ∠ABO = 40°

PLEASE HELP DO TODAY IN A FRW MINUTESSS

Answers

Answer: See below

Explanation:

1a.
-4 • 1 = 8(y-5)
-4 = 8y - 40
-8y = -40 + 4
-8y = -36
Y = -36/-8
Y = 9/2

1b.
3c - 6 = -6 + 9(c+9)
3c - 6 = -6 + 9c + 81
3c - 9c = 75 + 6
-6c = 81
C = 81/-6
C = 27/-2

2a.
6(p-2) = -2 + 3
6p - 12 = 1
6p = 13
P = 13/6

2b.

3x - 4 = -3 + 4(x - 3)
3x - 4 = -3 + 4x - 12
3x - 4x = -15 + 4
-x = -11
X = 11
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How much time does it take for the glove to return to the pitcher What is the language ? Also write translation ' A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?A). Data point AB). Data point BC). Data point CD). Data point D 3. An underground copper pipe is used to transport oil under a factory. It is very important that this pipe does not oxidize, so engineers use impressed current cathodic protection. a. Would zinc be an appropriate metal to use for cathodic protection? Why or why not? (4 points) b. Engineers attach a sacrificial anode to the copper pipe. To use impressed current cathodic protection, they must attach a battery between the cathode and anode. Which material should the positive side of the battery be attached to? Explain how you know. (4 points) In the space below write an essay in response to one of the following questions:What sins are punished most severely and why?Or what does Inferno indicate about medieval values?You must also respond to this question: Do you agree with Dante's hierarchy of Hell? Why or why not? Two waves are traveling in the same direction along a stretched string. The waves are 45.0 out of phase. Each wave has an amplitude of 7.00 cm. Find the amplitude of the resultant wave. Based on this quote, the people of the United States have the power to choose representatives. The people cannot exercise power on their own. are allowed to make decisions without representation. are unable to elect representatives. An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207? Which of the following is the solution to the inequality below? -5x 10 -6 B. x > -2 C. x What happens when a chlorine atom gains an electron in its outer energy shell? A. It has an increase in the number of protons B. It becomes a negative ion C. It becomes a positive ion D. It has a decrease in the number of neutrons