What is the volume of the following triangular prism?

What Is The Volume Of The Following Triangular Prism?

Answers

Answer 1

Answer:

37.8

Step-by-step explanation:

Change 12 mm to 1.2 cm

Then apply the volume rule

Area * height

A = 1.2*7=8.4

H=4.5

Volume 8.4*4.5 =37.8


Related Questions

three friends equally share 1/2 of a pizza. how much of the pizza does each friend get

Answers

1/6 of the entire pizza and 1/3 of the half portion.
Each one of them gets 1/6 of the pizza.

Solution: 1/2 of a pizza x 1/3 friend = 1/6 pizza per friend.

The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marketing department also presents the following demand equation.​X=5,000-500P i.e. P=10-X/500
Furthermore, the financial department provides the following cost equation:​ C(X) = 7, 000 + 2x
Using derivatives Find Marginal cost, Marginal revenue and Marginal profit of the company.

Answers

The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marginal cost of the company is 7000 - 2X  and marginal revenue is 10X - X/250.

What is Marginal Cost?

Marginal cost is an extra cost per unit incurred when an extra unit of output produced or service rendered. Or in other words it can be said that marginal cost is an element of additional unit cost that incurred due to production of goods or services. Some time it is also considering as relevant cost or variable cost.

So in order to compute the transistor manufacturing company's marginal cost, marginal revenue and marginal profit of the company one shall equated the derivative function between them.

In micro economics technical relationship between the said marginal terms is written through derivative function:

Revenue = Price × Quantity Demanded,

Profit Maximize Point where Marginal cost is equal to marginal revenue;

MR = MC,

The marketing department also presents the following demand equation:

X = 5,000 - 500 P

P = 10 - (X ÷ 500), where P is Price and X is quantity demand.

Furthermore, the financial department provides the following cost equation:​

C(X) = 7, 000 + 2x

So the revenue function by the help of substitution method:

X = 5,000 - 500 P

Revenue = Price × Quantity Demanded,

Revenue =  10 - (X ÷ 500) × X

               =  10X - X^2 ÷ 500

Marginal Revenue! = 10X - !2X/500 = 10X - X/250

Marginal Cost =  7, 000 + 2 (5,000 - 500 P)

= 7000 + 10000 - 1000 P

= 17000 - 1000 ( 10 - (X ÷ 500))

= 17000 - 10000 - 2X

= 7000 - 2X

Therefore marginal revenue is revenue or additional earning made by a seller by selling an extra unit. Revenue is earned when extra unit is being sold.

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Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81

Answers

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!

= 2 + 4 = 6 ↔ rational

= 2 * 2 = 4 ↔ rational

= 7 + 9 = 16 ↔ rational

Hope this helps!!

HELP FAST 45 POINTS WILL GIVE BEST ANSWER BRAINLIEST

Answers

Answer:

1343.42 in³

I am sure about this answer because I had this in my syllabus last year.

Answer:

Vtotal = (vol of prism) + (1/2)(vol of cylinder)

volume of prism = 9×10×11 = 990 in^3

volume of cylinder = pi×(5in)^2×(9in)

= 225pi in^3

Therefore, the total volume is

Vtotal = 990 in^3 + (1/2)(225pi in^3)

= 1343.4 in^3

Pls help me desperate for this answer !!


TB ≅ TC


TA ≅ AT

Answers

Answer:

its tb=tc g

Step-by-step explanation:

7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d

Answers

Answer:

C= -5

D = 7

Step-by-step explanation:

[tex] - 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7[/tex]

Please help me please !!!!!

Answers

Answer: D; 2.72

Step-by-step explanation:

solve for n...

5.6 + 1.4n = 2.4n + 2.88 (expanding brackets)

2.72 = 1n

n = 2.72

Answer:

D - It is the n value. Now do the math...

Other Characters (Warning Ahead : SPAM) :

fnewdnfiweashuiashdlhashcjkdahiufchasi

Two number cubes were rolled 10 times, and the sum of each roll was recorded in the table.

Answers

Answer:

pls give a bigger view of the table

Step-by-step explanation:

Randy worked 4 2/9 hours on Sunday. If he
worked a total of 10 1/3 hours on Saturday
and Sunday, how many hours did he work
on Saturday?

Answers

Answer:

6 1/9 hours

Step-by-step explanation:

10 3/9 - 4 2/9 = 6 1/9

PLEASE HELP ME ITS MULTIPLE CHOICE

Answers

Answer:

Step-by-step explanation:

The answer is class D so number 4

Please help, I will mark you brainiest, thank you!!

Answers

8x + 30=110
110-30=80/8=10
Your answer is x = 10

Angelina has taken 27 of the 36 exams she needs to take to become a nurse. What percent of the exams has she taken?

Answers

The percentage of the exam that she has taken is 75%.

What percentage of the exam has she taken?

Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.

Percent of the exams she has taken = (number of exams taken / total number of exams) x 100

Percent of the exams she has taken = (27 / 36) x 100

Percent of the exams she has taken = 75%

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find the quotient if 3.5 is divided by 14

Answers

Answer:

1/4

Step-by-step explanation:

3.5 = 3 1/2 = 7/2

7/2 ÷ 14 = 7/2 × 1/14 = 1/4

The quotient is 1/4

3.5 = 3 1/2 = 7/2

7/2 ÷ 14 = 7/2 × 1/14 = 1/4

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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Write a piecewise-defined function for this graph please!

Answers

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that passes through (-3, 1) and (2, -2) is given as,

(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)

y + 2 = - (3/5)x + 6/5

y = -(3/5)x - 4/5

The equation of the line that passes through (2, -2) and (4, 3) is given as,

(y + 2) = [(3 + 2) / (4 - 2)](x - 2)

y + 2 = (5/2)x - 5

y = (5/2)x - 7

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

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pls help me i will mark brainliest i just need the right answer

Answers

Answer:

A = 34.84

Step-by-step explanation:

6.7 * 5.2 = 34.84

Answer:

38.84

Step-by-step explanation:

l×w=area, so 6.7 times 5.2 is 38.84. Hope this helps :)

80% of 50 children passed a test. How many did not pass? ​

Answers

Answer:

10 children

Step-by-step explanation:

?/50 = 80/100

Multiply 50 by 80 then divide by 100

50 times 80 = 4,000 divided by 100 is 40

40 children passed the test

Now subtract 40 from 50 to get 10

10 children did not pass the test

Solve for d

3/2 = 5d - 1/2

Answers

Answer:

d = 0.4

5*0.4 = 2

2 = 4/2

4/2 - 1/2 = 3/2

Computer the following some, Thanks !

Answers

Answer:

184233

Step-by-step explanation:

651∑n=1 88+0.6(n-1)

651∑n=1 88 + 651∑n=1 0.6(n-1)

(651)(88) + 0.6(651∑n=1 (n-1))

57288 + 0.6((651∑n=1 (n))-(651∑n=1 (-1))

57288 + 0.6((651)(652)/2+(651)(-1))

57288 + 0.6(212226-651)

57288 + 0.6(211575)

57288 + 126945

184233

3) A private golf course offers cart rentals for $22 and a round of golf at $1.35 per hole for non-members. After purchasing a box of golf balls at $14.95 and a bottle of Gatorade for $3.25, your total cost was $64.50. How many holes of golf were you able to complete?​

Answers

Answer:

18 round of golf

Step-by-step explanation:

r = # rounds of golf

(22 + 14.95 + 3.25) + 1.35r = 64.50

40.20 + 1.35r = 64.50

1.35r = 24.30

r = 18

Answer:

18 kkkkkkkkkkkkkkkkkkkk

In the figure shown, AB and CD are parallel. AB and CD are intersected by EH at points F and G, respectively. The measure of LEFA is (x - 5)°, and the measure of ZDGF is (73x - 365) °. What is the measure, in degrees, of ZDGH?

Answers

The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

The diagram is given below.

Then the equation is written as,

∠EFA + ∠DGF = 180°

x - 5 + 73x - 365 = 180°

74x = 550

x = 273/27

Then the measure of the angle ∠DGF is given as,

∠DGF = 73(273/27) - 365

∠DGF = 177.57°

Then the measure of the angle ∠DGH will be calculated as,

∠DGH + ∠DGF = 180°

∠DGH + 177.57° = 180°

∠DGH = 2.43°

The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.

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i need help for this quizzz hurry plz

Answers

Answer:

Step-by-step explanation:

b: left arrow with filled in dot

c: right arrow with filled in dot

d:  left arrow with NO filled in dot

PLEASE HELP! FOR 10 POINTS. CLASSIFY THE TRIANGLE ON ANGLE AND SIDE LENGTH, WHAT IS THE ANSWER AND HOW CAN I SOLVE IT? SHOW UR WORK OR EXPLAIN THANKS

question classify the triangle based on the angle measured and side length

Answers

Answer:

Right Isosceles triangle

Step-by-step explanation:

The Square on the triangle represents a right angle

An Isosceles triangle is a triangle that has 2 sides equal and 1 a different length

triangle has area 16 m ^2
. List all the possible positive integers that could
represent the lengths of its base and height.

Answers

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

Defining a triangle

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

Given :

Triangle area = 16[tex]m^{2}[/tex]

Thus,

To find the possible base and height of the triangle.

The base can be given by 4 m,16

and height be = 8m or 2m

vice-versa

height = 4m ,16mand base =8m,2m

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

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Answer:

see below

Step-by-step explanation:

given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,

ar() = 1/2 * base* height

substitute the respective values,

16m² = 1/2* b * h

b*h = 32

now here we need to list out all the possible factors of 32 as ,

1 *32

2 *16

4*8

8*4

16 *2

32*1

therefore, all the possible lengths of heights and bases are ,

b = 1m , h = 32m b = 2m , h = 16mb = 4m , h = 8mb = 8m , h = 4mb = 16m , h = 2mb = 32m , h = 1m

and we are done!

-Rishabh

Which table represents the function y = 2x + 4?

Answers

Answer:

I believe the answer is C, however I'm not completely sure. Let me know if I can fix it! I'm not 100% sure, I'm sorry if it's wrong!

Step-by-step explanation:

I hope this helps, please remember to give five stars, press the heart, and mark brainliest. If you need any more help, please let me know!

*optional* amos: tealyn337

8x +1 =7x +5

Please help me

Answers

Answer:

x = 4

Step-by-step explanation:

i. 8x + 1 = 7x + 5

ii. 8x - 7x = 5 - 1

iii. x = 4

Operation research is the application of which methods to arrive at the optimal solution to the problems?

Answers

Answer:

BEDMAS

Step-by-step explanation:

first: inside the bracket.

second: exponent

third and fourth :division or multiplication. Wich come first.

last :addition or subtraction. Wich come first .

Can someone help me please
Find the solution to the system of equations.
y=-2x+7
y=5x-7

Answers

Let's solve your system by substitution.
y
=

2
x
+
7
;
y
=
5
x

7

Step: Solve
y
=

2
x
+
7
for y:
y
=

2
x
+
7

Step: Substitute

2
x
+
7
for
y
in
y
=
5
x

7
:
y
=
5
x

7

2
x
+
7
=
5
x

7

2
x
+
7
+

5
x
=
5
x

7
+

5
x
(Add -5x to both sides)

7
x
+
7
=

7

7
x
+
7
+

7
=

7
+

7
(Add -7 to both sides)

7
x
=

14

7
x

7
=

14

7
(Divide both sides by -7)
x
=
2

Step: Substitute
2
for
x
in
y
=

2
x
+
7
:
y
=

2
x
+
7
y
=
(

2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)

Answer: x=2 and y=3

***** 6. A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9 minutes and one lasting 6 minutes. At what what time did the movie finish​

Answers

According to the given conditions in the question, the movie did finish at 8:15pm exactly.

What is the average  movie length in hollywood?

The average movie length of movies in hollywood is  around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.

How are movies helping to improve world economy?

The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.

The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.

So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,

105 + 15 = 120 mins

Which is equal to 2 hrs, so the movie finished at 8:15 pm.

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calculate the total area of the walls of a hospital ward 5m long, 4m wide and 2 and half metres high


Answers

Answer:

40

Step-by-step explanation:

6. Which expression is equivalent to 22 ?​ HURRY HELP FAST

Answers

Answer: 22+(-3)

Step-by-step explanation:

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