The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3

Answers

Answer 1

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

The Two Triangular Prisms Shown Are Similar. What Is The Volume Of The Larger Prism? 36 M2 36 M3 144
Answer 2

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!


Related Questions

Q1 : Gina writes the letters of the word PROBABILITY on separate cards. She picks one card at random. What is the probability that the card Gina selects is:

a) The letter B








b) A vowel











c) A letter before M in the alphabet?​

Answers

Answer:

2/11

4/11

6/11

Step-by-step explanation:

probability the letter B = number of times b appears in the word / total number of alphabets

total number of alphabets = 11

number of times b appears in the word = 2

2/11

a vowel = total number of vowels in the word / total number of alphabets

vowels include = a,e,i,o,u

vowels in the word = a, o, i

total number of vowels in the word = 4

4/11

A letter before M in the alphabet = total number of alphabets before m in the word  / total number of alphabets

letters before m = A, B, C, D, E, F, G, H, I, J, K, L

letters before m in the word = b,a, i , l

number of words before m = 6/11

HELP!

Eric bought 16 ounces of coffee beans for
$14.40. At this rate, how much would 11 ounces
of coffee beans cost?

Answers

Answer:

11 ounces cost 9.90$.  

Step-by-step explanation:

Each ounce cost .90 cents.

Hope this helped!

3 1/7 + 4 3/14 = ?
plz help me ​

Answers

Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
103/14
Decimal Form:
7.35714285

7.35714285

Mixed Number Form:
7 5/14

In one hour, Carla can read 2/8 of her book. How
much of her book will she finish in 3 hours?

Answers

Answer:

Step-by-step explanation:

Carla's reading rate is

 2/8 book

----------------- or 1/4 book/hr.

   1 hr

Then, in 3 hours, she could read 3(1/4 book/hr) = 3/4 book in 3 hrs

DO NOT ANSWER WITH BITLY LINKS! Find the measure of the arc or central angle indicated. Assume that lines that appear to be diameters are actual diameters. Show all your work.

(I've been getting way to many scammy links and downloads, please answer appropriately) Worth 30 points for REAL answers!

Thank you

Answers

Answer:

135°

Step-by-step explanation:

LI = LM+MI = 35+80

PLS HELP
A jewelry company purchases a necklace for $24. If they mark it up 36% to sell it at their store, what is the selling price of the necklace? (If necessary, round to the hundredths)

Answers

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

find the lateral surface area​

Answers

Answer:

At first find the Shaded area of picture

Then calculate area of picture

And find the lateral area

Where will the two lines intersect? y=2x+1 and y=-2x+5

Answers

Answer:

(1, 3)

Step-by-step explanation:

(1,3) is the answer

how do you solve for x

the similarity statement is abc~ xyz​

Answers

Answer:

m<X= 36.87 degrees

Step-by-step explanation:

Since the triangle abc and xyz are similar, hence;

m<C = m<Y

90 = x - 5

Add 5 to both sides

90+5 = x-5+5

95 = x

Swap

x = 95

m<Y = x - 5

m<Y = 95 - 5

m<Y = 90

Find m<X

Using the SOH CAH TOA

Opposite to m<X = YZ = 6

Adjacent = 8

Tan M<X = opp/adj

Tan m<X = 6/8

m<X = arctan(6/8)

m<X= 36.87 degrees

Can someone help me please?

Answers

Answer:

2. 216cm3

3. 748.75

Step-by-step explanation:

Cube v=Bh

To get Base area 9cm x 4cm=36cm2

36cm2 x 6cm=216cm3

Can someone help?????

Answers

Answer:

i can Lol if you will help me after i help you

Step-by-step explanation:

put -6.5 in between -6 and -7. put -8.5 between -8 and -9. -6.5 is > than -8.5. hope this helped and i hope im right.

A 68 kg deer has a momentum of 952 kg-m/s. What is its velocity?

Answers

Answer:

14 m/s

Step-by-step explanation:

1) Which of the numbers is NOT rational?
A) - 5
B)
- - - 중
733
D) 6.3

Answers

Alternative D)6.3 ......

plss help me:((((((((​

Answers

Answer:HI cant really see

Step-by-step explanation:

PLEASE HELP FAST



Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c

Answers

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

Answer:

c=81

Step-by-step explanation:

pls give me banliest

NEED ASAP Which line is parallel to the line y=4x-2?

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope

Standard form of an equation is y = mx + b

Compare;

mx = 4x

m = 4

Since the slope of the given equation is 4, the required equation must also have a slope of 4

Since we are not given an option, we can assume any equation with a slope of 4

y = 4x + 1 will be parallel to the given equation since they both have the same slope

Note that the equation can be different so far they have the slope of 4

Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?

Answers

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2

A daily newspaper sells monthly subscriptions for $15. Each individual copy of the newspaper costs $0.75. In a month that has exactly 30 days, how much could be saved by purchasing a subscription instead of purchasing an individual copy each day?

Answers

Answer:

With the subscription, $7.5 will be saved.

Step-by-step explanation:

Giving the following information:

A daily newspaper sells monthly subscriptions for $15. Each copy of the newspaper costs $0.75.

First, we need to calculate the total cost of buying 30 newspapers individually:

Total cost= 0.75*30

Total cost= $22.5

Difference= 22.5 - 15= $7.5

With the subscription, $7.5 will be saved.

Add (5x3+7x−8)+(2x3−5x2−x+3).

Answers

Use one of the algebra calculators

in 6 hours heather reads 30 chapters of a book what is her rate in chapters per hour​

Answers

Answer:

5 chapters per hour

Step-by-step explanation:

30chapters/6hours = 5 chapters/hour

Help me plz !!!!! ):$$:):!:!!::

Answers

Answer:

9x - 13 = y

Step-by-step explanation:

big brain

Please help! 90 x 120 = ? divided by 2

Answers

90 x 120 = 10800

10800/2 = 5400

Answer:

21600=x

Step-by-step explanation:

so this is the problem:

90x120=x/2

first, you can multiply 90 and 120 to get 10800.

then, your equation looks like this

10800=x/2

you can multiply both sides by 2

2(10800)=(x/2)(2)

then, you get this

21600=x

hope this helped!!!

Find the volume of the following
square pyramid.
26 cm
20 cm
20 cm

Answers

I think the volume is 3,400

Just look it up on socratic

f(3) = 12 for a geometric sequence that is defined

recursively by the formula f(n) = 0.5 ∙ f(n – 1), where

n is an integer and n > 0.

Write the equation in explicit form.



Answers

Answer:

[tex]f(n) = 96 * 0.5^n[/tex]

Step-by-step explanation:

Given

[tex]f(3) = 12[/tex]

[tex]f(n) = 0.5 * f(n-1)[/tex]

Required

Write as an explicit function

When n = 3, we have:

[tex]f(3) = 12[/tex]

[tex]f(3) = 0.5 * f(3-1)[/tex]

[tex]f(3) = 0.5 * f(2)[/tex]

Substitute: [tex]f(3) = 12[/tex]

[tex]12 = 0.5 * f(2)[/tex]

Solve for f(2)

[tex]f(2) = 12/0.5[/tex]

[tex]f(2) = 24[/tex]

So, we have;

[tex]f(3) = 12[/tex]

[tex]f(2) = 24[/tex]

Since it is a geometric sequence, calculate the common ratio (r)

[tex]r = \frac{f(3)}{f(2)}[/tex]

[tex]r = \frac{12}{24}[/tex]

[tex]r = 0.5[/tex]

Calculate the first term using:

[tex]r = \frac{f(2)}{f(1)}[/tex]

Solve for f(1)

[tex]f(1) = \frac{f(2)}{r}[/tex]

[tex]f(1) = \frac{24}{0.5}[/tex]

[tex]f(1) = 48[/tex]

The explicit function is then calculated as:

[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp

[tex]f(n) = 48 * 0.5^{n-1[/tex]

Split the exponent

[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]

[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]

[tex]f(n) = 96 * 0.5^n[/tex]

what is the number of distinguishable permutations of the letters in the word, POTATO

Answers

Answer:

720

Step-by-step explanation:

Potato has 6 letters

6!/2!×2!

6×5×4×3×2/2×2

A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'

Answers

The answer is c i done it

Find the output y when the input x is -5
y=?

Answers

Answer: y=7

Step-by-step explanation: looking at the graph when x is -5 y= 7

Need help ASAP please help

Answers

It is B because we wanna find what line goes over the dots better.

A bag contains to White blocks and one red block and 3 purple blocks what is the sample space of picking a block from the bag

Answers

Answer:

1/36

Step-by-step explanation:

Probability is the likelihood of chance that an event will occur. Mathematically,

Probability = expected outcome/total outcome

If a bag contains two white blocks, one red block and 3 purple block

Total outcome = 2+1+3= 6

Probability that white ball is selected = 2/6

Probability that red ball is selected = 1/6

Probability that white ball is selected = 3/6

Probability of picking a ball is 2/6 × 1/6 × 3/6

Probability of picking a ball = 6/216

Probability of picking a ball = 1/36

PLS HELP
and explain if you can :3

Answers

Answer:

12, 6, 4, 3, 12/7

Step-by-step explanation:

so for each column, you would substitute the number for a in the equation. for example, substituting 2 for a will make the equation 2/2 + b = 12. we now need to isolate b. 2/2(2/2 + b) = 12(2/2) makes the new equation b = 24/2, or b = 12.

Answer:

11,10,9,8,5

Step-by-step explanation:

look at the table.

they are giving you what a equals.

for example: in the table, it says a is 2. SO you put that into the equation you are given.

[tex]\frac{a}{2}[/tex] + b = 12 substitute "a" which we know is 2 into the equation

[tex]\frac{2}{2}[/tex] + b = 12  NOW you solve for b

first, divide 2 by 2 which equals 1

THEN subtract 1 by 12 giving you 11. The equation should look like this

b = 11

11 can then go under 2 on the table.

Do this for the rest of the answers.

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