Mathematics High School




Find the volume of the triangular prism in the picture shown. Round your answer to the
nearest tenth. *

1: 167
2:77.3 yd
3: 77 yd²

Find The Volume Of The Triangular Prism In The Picture Shown. Round Your Answer To Thenearest Tenth.

Answers

Answer 1

Given:

A figure of a triangular prism.

Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

[tex]V=Bh[/tex]              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]

[tex]B=2\times \dfrac{29}{3}[/tex]

[tex]B=\dfrac{58}{3}[/tex]

Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get

[tex]V=\dfrac{58}{3}\times 4[/tex]

[tex]V=\dfrac{232}{3}[/tex]

[tex]V=77.33...[/tex]

[tex]V\approx 77.3[/tex]

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

Related Questions

Can someone help me please?

Answers

Answer:

(0, -10), (2, 0), (-2, -50)

Step-by-step explanation:

Plug in numbers for the x and solve for it

I will start with 0

y = 5(0 - 1)^2 - 5

y = 5(-1) - 5

y = -5 - 5

y = -10

2

y = 5(2 - 1)^2 - 5

y = 5(1) - 5

y = 5 - 5

y = 0

-2

y = 5(-2 - 1)^2 - 5

y = 5(-9) -5

y = -45 - 5

y = -50

You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.

Find the missing sides

Answers

Answer:

choice b)

h = 13

g = 18.38 or 13sqrt 2

Step-by-step explanation:

tan 45 = h/13

1 = h/13

h = 13

cos 45 = 13/g

0.7071 = 13/g

g = 18.38

8/9 times 45 in simplest form

Answers

Answer:

40

Step-by-step explanation:

8/9 x 45 = 8 x 5 = 40

Hope that helps!

Answer:40

Step-by-step explanation:

Please help will give Brainliest

Answers

The answer is C

Hope this helps

What's the answer to 1.6(2.5-10)+8.2=???

Answers

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

Please help me
The sales tax for an item was $25.20 and it cost $420 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

25.20/420= .06. 6% sales tax

Answer:

25.20/420=.6=6%

Step-by-step explanation:

Find the value of x.​ Will give brainliest

Answers

Step-by-step explanation:

[tex] \frac{ \sin(38) }{15} = \frac{ \sin(68) }{x} \\ x = \frac{15 \sin(68) }{ \sin(38) } = 22.58 = 22.6[/tex]

Part B Isabella's mother sells the peas and gets $3 for each square foot. So, multiply your answer from Part A by 3 to calculate how much money Isabella's mother made.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the solution to part A (or part A itself) is not given. To solve this, I will assume a value to the supposes solution to part A.

From the question:

1 square foot is sold at $3.

This implies that:

p square foot will be sold at $3p.

So, total sales can be calculated using:

[tex]Total = 3p[/tex]

Now assume that p is 10 square feet (from part A).

The total will be:

[tex]Total = 3*10[/tex]

[tex]Total = \$30[/tex]

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

6 of the squares/tiles

Solve - 9m-4+2m= -9-7m+5, and interpret the results.

Answers

Here is your answer boy

What is the slope of the line that goes through the points (12, 5) and (7, 2)

Answers

Answer:

3/5

Step-by-step explanation:

5-2 = 3

12-7 = 5

3/5

What is the probability of rolling a 2 or 6 on a six-sided number cube?

Answers

Answer:

likely .

Step-by-step explanation:

Answer:

2 out of 6 chance

Step-by-step explanation:

Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh

Answers

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

Help me guys

4. Find x.​

Answers

Answer:

found the x

it is sideways

it is 10x2

Step-by-step explanation:

2x + 1

89°

and 10x2

Decide if the answer to 9/9x 7 is less than, greater than, or more than equal to 7.

Answers

Answer:

Equal to

Step-by-step explanation:

Answer:

9/9 X 7 Equals to 7

Step-by-step explanation:

9 divided by 9 is 1.

1 X 7 = 7.

7=7 so the answer is Equal to

can someone please help me with this?

Answers

The answer is 3y=-9x-6

Find the value of x if b=8 and a=6

Answers

Answer:

x = 10

Step-by-step explanation:

Using the Pythagorean theorem:

8² + 6² = x²

64 + 36 = x²

x² = 100

x = 10

Simplify 4.510.
a 4.51


b 1

Answers

Answer:

a

Step-by-step explanation:

Answer:

4.51

Step-by-step explanation:

i need more letters ksksksks

6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
A)22 cm
B)66 cm
C)198 cm
D)288 cm

Answers

Answer:

D 288cm

Step-by-step explanation:

6x4x12 = 288cm

Which expression represents
60
6060 divided by the product of
4
44 and
3
33?
Choose 1 answer:
Choose 1 answer:

Answers

6060 divided by the products

Answer:

6060 divided by the product of 4

Step-by-step explanation:

whats the gcf of 36 and 96??? suoer confused on this one too :(

Answers

Answer:

12! Hope this helped

Step-by-step explanation:

. Graham bought 45 bags of potatoes. Each bag weighed exactly 4pounds.How many pounds of potatoes did he buy?

Answers

multiply 45 by 4
=180 pounds of potatoes

when mark was 2 years old his parents invested 2,000 in a money market account with annual average interest rate of 8% after 15 years how much money will he have in the account

Answers

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

I bought four bags of cotton candy for $1.50 each and two soft drinks for 90 cents each. What was my change from a ten dollar bill

Answers

Answer:

Your change is $2.20

Step-by-step explanation:

4 x $1.50 = $6

2 x $.90 = $1.80

$6 + $1.80 = $7.80

$10 - $7.80 = $2.20

So it's $2.20. Have a nice day :D

Answer:

$2.20

Step-by-step explanation:

4 bags of cotton candy

$1.50 x 4 = $6.00

2 soft drinks

$0.90 x 2 = $1.80

$6.00 + $1.80 = $7.80

$10.00 - $7.80 = $2.20

HELP PLEASE

x^2-2x-5

Answers

Step-by-step explanation:

the answer for this question is -6x

The answer for this question is is -6x

Which figure can be formed from the net?

Answers

first option ,, it will be the first option

Answer:

the answer is the bottom right one.

Step-by-step explanation: I took the k12 test

Someone pls help. Write the equation in standard form

Answers

Answer:

Step-by-step explanation:

Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).

Therefore, equation of the quadratic relation will be in the form of,

y = a(x - 5)(x - 6)

For (0, 30),

30 = a(0 - 5)(0 - 6)

30 = 30a

a = 1

Therefore, equation will be,

y = (x - 5)(x - 6)

y = x² - 11x + 30

y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30

y = (x - 5.5)²+ 30 - 30.25

y = (x - 5.5)² - 0.25 [Standard form}  

b). Vertex → (-4, -7) and passes through a point (-2, 1)

Vertex form or standard equation of the quadratic relation is,

y = a(x - h)² + k

Here, (h, k) is the vertex

Therefore, equation will be,

y = a(x + 4)² - 7

Since, (-2, 1) lies on this relation

1 = a(-2 + 4)² - 7

a(2)²- 7 = 1

4a = 8

a = 2

Equation will be,

y = 2(x + 4)²- 7

hat is the slope and y-intercept of the linear function?

y = -8x + 2

Answers

Answer:

-8

Step-by-step explanation:

Okay so in y=mx+b equations like this one, m is the slope, so whatever number before x is the slope

please help me! :(
i'll mark you brainliest <3 20 point
(maths)

Answers

Answer: a) 4 b) you could make up to 8 liters

Step-by-step explanation:

Answer:

See Below! :)

Step-by-step explanation:

The answer to a is just 1.5 x 8

The answer to b is no

Hope this Helps! :D

Wayne spends 1/6th of an hour walking his dog. How much time does Wayne spend walking his dog in a week? *

Answers

Answer:

10 minutes

Step-by-step explanation:

This is somewhat of a trick question and also incomplete.

Assuming he walks his dog 1/6th of an hour each week, he walks his dog 10 minutes per week.

If this is incorrect please tell me the complete question

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