What is the volume of this triangular prism?

What Is The Volume Of This Triangular Prism?

Answers

Answer 1

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

Answer 2

Answer:

[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]

substitute

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]

remove parentheses:

[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]

reduce fraction:

[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]

simplify multiplication:

[tex]\displaystyle V _{ \text{prism}} = 270[/tex]

hence, the Volume of the given prism is 270cm³


Related Questions

what is 30 tens in hundreds

Answers

Answer:

300

Step-by-step explanation:

each ten is worth 10 so 10x30+ 300

plz mark brainliest

4. Find both solutions by (
:): x^2 + 6x + 5 = 0

Answers

Answer:

x1 = -5 and x-2 = -1

Step-by-step explanation:

hope this helps

Answer:

x = -  1, - 5

Step-by-step explanation:

x^2 = 1/100, what is x​

Answers

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Yuppp there right you got this
Ik youll umderdtsnd this one day

new one i need help with this one

Answers

Answer:

10

Step-by-step explanation:

Correct me if I’m wrong it’s been a while but I think u add 3 + 3 + 2+ 2

Answer:

It is 10

Step-by-step explanation:

In order to do perimeter you need to add each corners value, in this case a to B is one side and A to D is another, in order to get from A to B you have to walk 3 units, so their is our first part, now for the second you need to walk from point a to point D which if you do it will be 4 units.

Now we have 2 numbers, 4 and 3, We still have the other side but it will be the same, so you will do 4+4 and 3+3, in this case it will be 8+6 so the answer should be 14. I might be wrong.

Use the table of trigonometric ratios to find sin 24 degrees

Answers

Answer: 0.40673664307

Step-by-step explanation:

Help me please I don’t understand eee

Answers

None of the above is the answer tell me if I’m right when ur done

£730 is divided between June, Sushil & Fiona so that June gets twice as much as Sushil, and Sushil gets three times as much as Fiona. How much does Sushil get?

Answers

Answer:

Sushil gets $219.

Step-by-step explanation:

With the information provided, you can write the following equations:

It says that £730 is divided between June, Sushil & Fiona, which can be expressed as:

x+y+z=730 (1), where:

x is the amount June gets

y is the amount Sushil gets

z is the amount Fiona gets

Also, the statement indicates that June gets twice as much as Sushil which means that the amount June gets is equal to two for the amount Sushil gets:

x=2y (2)

Besides, you know that Sushil gets three times as much as Fiona which means that the amount Sushil gets is equal to 3 for the amount Fiona gets:

y=3z (3)

Now, you can replace (3) in (1) and (2) and you will have 2 new equations:

x=2(3z)

x=6z (4)

x+3z+z=730

x+4z=730 (5)

You have the following equations:

x=6z (4)

x+4z=730(5)

Next, you can replace (4) in (5) and solve for z:

6z+4z=730

10z=730

z=730/10

z=73

Now, you can replace the value of z in (3):

y=3z

y=3(73)

y=219

Finally, you can replace the value of y in (2):

x=2y

x=2(219)

x=438

According to this, the answer is that Sushil gets $219.

Susan makes $22 per hour in a clerical position. If she works 30 hours per week, what is her gross
weekly income?
$2,640
$500
$600
$660

Answers

select D $660 is the answer

Recently, Caroline purchased a BBQ grill to use this summer. The cost of the grill was $390 and sales tax
in her city is 7.4%. What is the amount of sales tax that Caroline will pay for the grill? Sales tax =
What is the total cost of the grill, including sales tax? Total cost of the grill =

Answers

hi

Sales  taxes  = 390 *0.074 = 28.86  

Total cost :  390+28.86 =  418.86

Pls help and find the area

Answers

Answer:

I don’t know the area but here’s a hint to help you (hint: length x with x height)

Step-by-step explanation:

Fatima told her grand children if i give 2 toffees each of you i am left with 3 toffees.But if i try to give 3 toffees each of you i face a short of 3 tofees.How many grand children does fatima have?

Answers

Answer:

6

Step-by-step explanation:

two equations can be derived from the question

y - 2x = 3 equation 1

y - 3x = -3 equation 2

y = number of toffees

x = number of children

subtract equation 2 from 1

x = 6

Julio says if you subtract 15 from my number and multiply the difference by -2 the result is -36 what's julio's number

Answers

18 x -2 = -36, so i think the number is 33 cause 18+15 is 33

Find the remaining volume of the cube with the cone removed.

Answers

Answer:
D
Step-by-Step explanation:

What is the value of y?

Answers

y + 35 = ( y ) + ( y - 31 )

y + 35 = 2y - 31

Add both sides 31

y + 35 + 31 = 2y - 31 + 31

y + 66 = 2y

Subtract both sides y

y - y + 66 = 2y - y

y = 66

Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?

Answers

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

A single card is drawn from a standard 52 card deck.

Work out the probability of choosing "a spade"

Answers

Answer: [tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

A standard 52 card deck includes spades, clubs, hearts, and diamonds.

13 card of each category is present

So, there are 13 spades present in the deck

Probability is the ratio of favorable to the total outcomes.

[tex]\therefore P=\dfrac{13}{52}\\\\\Rightarrow P=\dfrac{1}{4}[/tex]

Find the volume and surface area of a rectangular box 3 ft by 1.2 ft by 6 ft The volume is 21.621.6 cubic feet. ​(Round to the nearest tenth as​ needed.) The surface area is nothing square feet. ​(Round to the nearest integer as​ needed.)

Answers

Answer:

Volume = 21.6 ft³

Area = 58 ft²

Step-by-step explanation:

(1)

Applying,

V = lwh......................... Equation 1

Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.

From the question,

Given: l = 3 ft, w = 1.2 ft, h = 6 ft.

Substitute these values into equation 1

V = 3×1.2×6

V = 21.6 ft³

(2)

Applying

A = 2(lw+lh+wh)............. Equation 2

Where A = surface area of the box

Also substituting into equation 2

A = 2[(3×1.2)+(3×6)+(1.2×6)]

A = 2(3.6+18+7.2)

A  = 2(28.8)

A = 57.6 ft²

A = 58 ft²

Solve the equation:

3x - 5 = -26​

Answers

Answer:

x = -7

Explanation:

Move the constant to the right-hand side and change its sign:

3x = -26 + 5

Calculate the sum:

3x = -21

Divide both side of the equations by 3:

Therefore, the answer will be x = -7

Answer:

[tex]3x - 5 = - 26 \\ \\ = > 3x = - 26 + 5 \\ \\ = > 3x = - 21 \\ \\ = > x = - \cancel\frac{ - 21}{3} \\ \\ = > x = - 7[/tex]

Hope This Helps You ❤️

find the volume of the cone above in terms of pi

Answers

192 pi
good luck :))))

AADE and AABC are similar. Which best explains why the slope of the line between

points A and D is the same as the slope between points A and B?

The triangles are similar, so the sides are proportional:

AE = AC and DE = BC. Therefore, De = BC, so the slope of

AD is the same as the slope of AB.

Points A, D and B are on the hypotenuses of similar triangles.

Therefore, AD = AB, so the slope of AD is the same as the

slope of AB

The triangles are similar, so the sides are proportional:

DE = BC. Therefore, the slope of AD is the same as the slope

of AB

AE C

The triangles are similar, so the sides have equal lengths.

Therefore, AD = DB, so the slope of AD is the same as the

slope of AB

Answers

Answer:

(c) The triangles are similar, so the sides are proportional:  DE = BC. Therefore, the slope of AD is the same as the slope  of AB

Step-by-step explanation:

Given

See attachment for proper format of question

Required

Why is the slope between A and D the same

From the question, we understand that:

[tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex] are similar

This implies that similar sides are proportional.

i.e.

[tex]AD \to AB[/tex]

[tex]AE \to AC[/tex]

[tex]DE \to BC[/tex]

Slope (m) is calculated as:

[tex]m = \frac{Rise}{Run}[/tex]

So, the slope of [tex]\triangle ADE[/tex] is:

[tex]m = \frac{DE}{AE}[/tex]

Slope of [tex]\triangle ABC[/tex] is:

[tex]m = \frac{BC}{AC}[/tex]

Since the triangles are similar, then:

[tex]m = m[/tex]

i.e.

[tex]\frac{DE}{AE} = \frac{BC}{AC}[/tex]

Hence, (c) is true

please help ill give brainlist!​

Answers

Answer:

[tex]y = 12 \tan(30 \degree ) \\ y = 6.92[/tex]

[tex]x = \frac{12}{ \cos(30 \degree) } \\ x = 13.8[/tex]

[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]

Name 4 fractions that are between 1/5 and 1/7

Answers

Answer:

21/240, 22/140, 23/140, 24/140

Step-by-step explanation:

7 and 5 have a common multiple of 140 and

140/7=20  20/140

140/5=28  28/140

21-27 are all numbers b/w 20 and 28

Answer:

21/140, 22/140, 23/140, 24/140

7 and 5 = common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.

A game of chance has a spinner with five equal sized sections. The results of 625 spins are shown below.


For which color is the experimental probability closest to the theoretical probability? Use the drop down menus to explain your answer.


(Brown,Orange,Yellow,Green,Purple) The experimental probability is (22.72%, 18.88%, 21.92%, 19.52%) and the theoretical probability is (10%, 25%, 20%)


For which color is the difference between the theoretical probability and experimental probability greatest? Use the drop down menus to explain your answer.


Brown,Green,Yellow,Orange,Purple) The experimental probability is (16.96%, 22.72, 18.88%, 21.92%) and the theoretical probability is (25%, 10%, 20%).

Answers

Answer:

https://e-eduanswers.com/mathematics/question176807332

Step-by-step explanation:

The eqution of the diagonal of a parallelogram is 3y=5x +k. The two opposite vertices of a parallelogram are the points (1,-2), (-2,1).Find the value of k

Answers

Answer:

[tex]k = 1[/tex]

Step-by-step explanation:

Given

[tex]3y = 5x + k[/tex]

Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]

Required

Find k

First, calculate the midpoint of the opposite points.

[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]

This gives:

[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]

[tex](x,y) = 0.5(-1,-1)[/tex]

Open bracket

[tex](x,y) = (-0.5,-0.5)[/tex]

The equation [tex]3y = 5x + k[/tex] becomes:

[tex]3 * -0.5 = 5 * -0.5 + k[/tex]

[tex]-1.5 = -2.5 + k[/tex]

Solve for k

[tex]k = 2.5-1.5[/tex]

[tex]k = 1[/tex]

Josh is a car salesman. He gets an annual salary of $45,000 plus a commission, C, of $250 for every car he sells. Which equation represents Josh's total annual salary, S?

A. S=45,000+250C
B.S=45,000−250C
C. S=45,000C+250
D. S=45,000C−250

Answers

Since he has an annual salary, the salary stays the same, making it the y intercept.
As for 250, it goes to every car he sells, making it the slope
S = y + mc (y = y intercept, m = slope)
Plug in the values to see

Solution: A. 45,000 + 250C

Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6​

Answers

Answer:

None

Step-by-step explanation:

6÷9=0.666...

9.1÷6=1.5166..

6.1÷9=0.6777...

54 is 54

9÷6=1.5

So none are equal

Answer:

the answer is 6 × 1/9

Step-by-step explanation:

6÷ 9 = 0.666

9 × 1/6 = 1 1/2

6 × 1/9 = 2/3 same as 0.666

54 = 54

9/6 = 1.5

What are the first three terms of the sequence defined by the recursive function an = an-1-(an-2-4), when a5 =-2 and a6 = 0?
-14, 14,- 4
6, 10,8
-2 0,2
2, 8, 10​

Answers

Answer:

6, 10 and 8

Step-by-step explanation:

Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?

a6 = a5 - (a4 - 4)

0 = -2  - (14 - 4)

2 = - (a4 - 4)

-2 = a4 - 4

a4 = -2 + 4

a4 = 2

a5 = a4 - (a3 - 4)

-2 = 2  - (a3 - 4)

-2-2 = - (a3 - 4)

-4 = -(a3 - 4)

4 = a3 - 4

a3 = 4+4

a3 = 8

Also

a4 = a3 - (a2 - 4)

2 = 8 - (a2 - 4)

2-8 = - (a2 - 4)

-6 = -(a2 - 4)

6 = a2 - 4

a2 = 6+4

a2 = 10

a3 = a2 - (a1 - 4)

8 = 10 - (a1 - 4)

8-10 = - (a1 - 4)

-2 = -(a1 - 4)

2 = a1 - 4

a1 = 2+4

a1 = 6

Hence the first 3 terms are 6, 10 and 8

Answer:

C. 6, 10, 8

Step-by-step explanation:

i took the test

hello please help i’ll give brainliest

Answers

the answer is living

Answer:

Living

Step-by-step explanation:

R=( − 2 , 2 ) , ( 2 , − 2 ) , ( − 4 , 4 ) , ( 4 , − 4 ) is r a function?

Answers

Answer:

Step-by-step explanation:

The four inputs (x-coordinates) are {-2, 2, -4, 4}.  No input appears more than once.  Therefore this seet of points represents a function.

she had a shoe box full of 5 cents 6 cents and 7 cents what totals could she make and what totals were impossible

Answers

18 cents I’m sorry if I’m wrong
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