If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?

Answers

Answer 1

The coordinates of the six vertices of the prism are listed below:

[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex]  [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]

The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:

[tex]n = 2\cdot s[/tex] (1)

Where [tex]s[/tex] is the number of sides of the base.

If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:

[tex]n = 2\cdot 3[/tex]

[tex]n = 6[/tex]

A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:

[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex]  [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]

We kindly invite to check this question on prisms: https://brainly.com/question/8828506

If The Legs Of Each Triangular Base Are 5 Cm And 3 Cm And The Height Of The Prism Is 4 Cm, Whatare The

Related Questions

16.
Identify the axis of symmetry of the parabola.

A. x = -2

B. x = 1

C. x = -3

D. x = -1

Answers

Answer:

i don't know

Step-by-step explanation:

A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)

Answers

Answer:

C(x)=2400 - 80x

Step-by-step explanation:

since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x

If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

Answers

hmm let's do that with synthetic division, Check the picture below.

Solve the given problem using Venn Diagram. Show your solution

A group of 50 students went on a tour in Palawan province Out of 50 students, 24 joined the trip to Coron; 18 went to Tubbataha Reef, 20 visited El Nido: 12 made a trip to Coron and Tubbataha Reef 15 saw the Tubbataha Reef and El Nido, 11 made a trip to Coron and El Nido: 10 saw the three tourist spots.

1. How many students went to Coron only?
2. How many students went to Tubbataha Reef only?
3. How many joined the El Nido trip only? 4. How many did not go to any of the tourist spot?

(Please kindly help me. I have answered this problem, but it seems not to be correct.)​

Answers

[tex] \red{ \rule{40pt}{555555pt}}[/tex]

Rest of the options

Answers

The answer is D, the last one

Is x = 1 a function?

Answers

Yes x = 1 is a function.
Hope this helps :(

Answer:

Yes

Step-by-step explanation:

It is a constant linear function, which is in fact a function.

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

20% of 50. Mathmethics

Answers

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

         

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile
How many students will a team need to complete the race? Circle the correct number below

Answers

Answer:

9 students

Step-by-step explanation:

If 1 student runs a 3rd we need 3 students to run 1 mile.

Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.

3 x 3 = 9

They will need 9 students I hope this helps have a great day :)

y’all please help me

Answers

I think it is 2 but I really don’t know

What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50

Answers

Answer:

Maybe 9 oz, if I’m wrong sorry! D:

If the amount of fruit increases by 40%, what percent of the original amount do you have?

Answers

Answer:

First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.

Step-by-step explanation:

MTH208 Graded Assignment Unit 5 Test, Part 2. Relationships of Right Triangles, Including Trigonometry
(Score for Question 3:
of 5 points)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
А
30
14 cm
B
Answer:


PLEASE HELP do. Not comment just to get points.

Answers

Answer: 14 cm

Step-by-step explanation: A right triangle is an isosceles triangle.

what is the absolute value for 115 and 15

Answers

They are the same because it only affects negative numbers. If it is a negative number then it is the same number just positive.

What is equivalent to 6 + 3 x 9 - 4

Answers

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

Answer the following questions.
(a) What percent of 80 is 44?
(b) What number is 45% of 40?

Answers

Answer:

a. 55%

b. 22

Step-by-step explanation:

Answer:

[tex]a)55[/tex]

b) 18

Step-by-step explanation:

→ Set up an for part a

[tex]\frac{80x}{100} =44[/tex]

→ Multiply both sides by 100

[tex]80x=4400[/tex]

→ Divide both sides by 80

[tex]x = 55[/tex]

→ Multiply both numbers together for part b

45 × 40 = 1800

→ Divide the answer by 100

1800 ÷ 100 = 18

If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.

Answers

50%=100%/2

26*2 = 52

Original price is 52 dollas

Answer:

52

Step-by-step explanation:

please mark brainlest

Can someone please help me

Answers

Answer:

Answer for question 16 $24.64

Answer:

$3.36

17. 31%

18 $ 24.50

Step-by-step explanation:

28 x 0.12 = $3.36

17. 484 - 333.96 = 150.04

What percentage is 150.04 of 484

X/100 = 150.04/484 (% / 100 = is/of)

= 31%

8. 35 x 0.30 = 10.50

$35 - $10.50 = $24.50

At a local corner store, the cost of a bag of chips at the corner store is $1.30, and the
cost of a banana is $1.40. What would it cost to get 4 bags of chips and 5 bananas?
What would it cost to get a bags of chips and y bananas?
Total cost, 4 bags of chips and 5 bananas:
Total cost, x bags of chips and y bananas:
Submit Answer
attempt 2 out of a problem 1 out of maxi

Answers

Answer:

1- 12.20$

2- 1.30$ + 1.40y$

3- 1.3x + 1.4y

Step-by-step explanation:

input unknown values using x and y

find the measure of ∠A.

Answers

Answer:

68 degrees

Step-by-step explanation:

Supplementary angles have sum 180°

5x+27+5x-7=18010x+27-7=18010x+20=18010x=160x=16

<A=

5(16)+2780+27107°

dur rn help pls ))))))))))

Answers

Answer:

A is correct good luck bud

Step-by-step explanation:

study the visual fraction below. Is it A,B,C, or D?

Answers

Answer: B

Step-by-step explanation: the pic shows this

B

you can see it on the pic btw

Consider 2 1/2 divided by 1/4 write a real world problem for the division.Create a model or write an equation for the division.Find the quotient for the real world problem.Find the quotient.

Answers

Answer:

Step-by-step explanation:

How many 1/4 kg bread loaves can be made from 2½ kg of dough?

2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10

The number of puffs made by 2½ kg of dough will be 10.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The problem is given below:-

How many 1/4 kg puffs can be made from 2½ kg of dough?

The number of the puffs will be calculated as:-

2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10

Therefore, the number of puffs made by 2½ kg of dough will be 10.

To know more about an expression follow

https://brainly.com/question/21446512

#SPJ5

X^+17x+72=12 factoring quadratic equation

Answers

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is +60

Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5

x2 - 12x - 5x - 60

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-12)

Add up the last 2 terms, pulling out common factors :

5 • (x-12)

Step-5 : Add up the four terms of step 4 :

(x-5) • (x-12)

Which is the desired factorization

Equation at the end of step

1

:

(x - 5) • (x - 12) = 0

STEP

2

:

Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Solving a Single Variable Equation:

2.3 Solve : x-12 = 0

Add 12 to both sides of the equation :

x = 12

Supplement : Solving Quadratic Equation Directly

Solving x2-17x+60 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-17x+60

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0

or y = -12.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-17x+60

Axis of Symmetry (dashed) {x}={ 8.50}

Vertex at {x,y} = { 8.50,-12.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 5.00, 0.00}

Root 2 at {x,y} = {12.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving x2-17x+60 = 0 by Completing The Square .

Subtract 60 from both side of the equation :

x2-17x = -60

Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4

Add 289/4 to both sides of the equation :

On the right hand side we have :

-60 + 289/4 or, (-60/1)+(289/4)

The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4

So adding to both sides we finally get :

x2-17x+(289/4) = 49/4

Adding 289/4 has completed the left hand side into a perfect square :

x2-17x+(289/4) =

(x-(17/2)) • (x-(17/2)) =

(x-(17/2))2

Things which are equal to the same thing are also equal to one another. Since

x2-17x+(289/4) = 49/4 and

x2-17x+(289/4) = (x-(17/2))2

then, according to the law of transitivity,

(x-(17/2))2 = 49/4

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-(17/2))2 is

(x-(17/2))2/2 =

(x-(17/2))1 =

x-(17/2)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x-(17/2) = √ 49/4

Add 17/2 to both sides to obtain:

x = 17/2 + √ 49/4

Since a square root has two values, one positive and the other negative

x2 - 17x + 60 = 0

has two solutions:

x = 17/2 + √ 49/4

or

x = 17/2 - √ 49/4

Note that √ 49/4 can be written as

√ 49 / √ 4 which is 7 / 2

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = -17

C = 60

Accordingly, B2 - 4AC =

289 - 240 =

49

Applying the quadratic formula :

17 ± √ 49

x = —————

2

Can √ 49 be simplified ?

Yes! The prime factorization of 49 is

7•7

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 49 = √ 7•7 =

± 7 • √ 1 =

± 7

So now we are looking at:

x = ( 17 ± 7) / 2

Two real solutions:

x =(17+√49)/2=(17+7)/2= 12.000

or:

x =(17-√49)/2=(17-7)/2= 5.000

Two solutions were found :

x = 12

x = 5

Step-by-step explanation:

please mark my answer in brainlist

HELPPP PLEASE!!!!!!
HELP!!!!!!!

Answers

Answer:

4 pounds

Step-by-step explanation:

when you match it on the graph it corresponds to 4

steps

match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4

Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?

Write your answer in simplest form

Answers

how many pounds does he feed his dogs for each meal?

At a store, 4 shirts cost $25 and 6 shirts cost $37.50.

Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?

Answers

Yes, each shirt is $6.25.



A 4-digit number is made up of different odd digits.
Write the greatest possible number that it can be?



Answers

Answer:

9753

Step-by-step explanation:

Which of the following correctly describes the graph?

Answers

Answer:

C is correct

Step-by-step explanation:

The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.

CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIST IF YOU GET IT RIGHT

Answers

3rd option: A middle school student it more likely to own a phone than an elementary school student

geometry:PLEASE HELP MEEEEEE

Answers

Answer:

5

Step-by-step explanation:

Normally the two diagonals of a kite meet at a right angle. That information should not be withheld from you. Otherwise, you are just guessing.

You must assume then that <STP also = 90o

14x + 20 = 90            Subtract 20 from both sides

14x = 90 - 20             Combine

14x = 70                     Divide both sides by 14

14x/14 = 70/14

x = 5

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