What is the volume of the following triangular prism?
4.5 cm
12 mm
7 cm
3.5 cm 3
18.9 cm 3
12 cm
13
37.8 cm 3

Answers

Answer 1

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

When you have the prism's base area ([tex]b_{a}[/tex]) you just have to multiply:

[tex]b_{a}*h=V[/tex]

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)


Related Questions

If a/b=b/c,then what is b²?​

Answers

Given:

The equation is

[tex]\dfrac{a}{b}=\dfrac{b}{c}[/tex]

To find:

The value of [tex]b^2[/tex].

Solution:

We have,

[tex]\dfrac{a}{b}=\dfrac{b}{c}[/tex]

On cross multiplication, we get

[tex]a\times c=b\times b[/tex]

[tex]ac=b^2[/tex]

[tex]b^2=ac[/tex]

Therefore, the value of [tex]b^2[/tex] is [tex]ac[/tex].

If you spin the spinner 20 times, how many 5’s? please help

Answers

Answer:

4 times you divde 20 and 5 and its 4

Step-by-step explanation:

Answer:

Its 4 Fives

Step-by-step explanation:

If its wrong i'm sorry

2. A bicycle trail is 65 miles long. Rashid
has already ridden 30 miles. How
many more miles does he need to
ride to reach the end of the trail?

Answers

Answer:

35 more miles

He need 35 miles more

word problem for 2 +(-8)=-6

Answers

Answer: Jessie goes to a gas station, she has $2 on her credit card. She sees a pack of gum, gatorade, and a snicker. Both the snicker and gatorade cost $4 each. The gum costs $2. She buys its, which leaves her with $-6 on her card.

Step-by-step explanation:

find the slope of a line that passes through the points (-2,6) and (8,4)​

Answers

Answer:

tatagagffgfgsfgsdfhsfhsetywe6

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

Please help! I don't wanna fail!

Answers

Answer:

32.55

Step-by-step explanation:

Pleas Help Due Tomorrow

must SHOW WORK

Answers

Answer:

42 degrees

Step-by-step explanation:

180-138 = 42

angles 1, 2, and 5 are all 139 degrees

angles 7, 3, 4, and 6 are 42 degrees

Answer:

42°

Step-by-step explanation:

in the attached image. hope this helps!

Lisa can run 4 more miles than Marlie. Marlie can run twice as many miles as Amy. Amy can run 3 miles. How many miles can Lisa run?

Answers

Lisa - 10 Miles
Marlie - 6 Miles
Amy - 3 Miles

26.6 is what percent of 53.2?

Answers

Answer:

Step-by-step explanation:

26.6/53.2 = 0.5 = 50%

26.6 is 50% of 53.2

If you know this could you help me?

Answers

Answer:

Equation : y = -0.5x − 8

Step-by-step explanation:

because i grabbed two points and plugged them in im not very good at explaining but im 99% sure thats right

Solve w=9x + 5y, for y

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

y=1/5w-9/5x

Step-by-step explanation:

pla help asap giving 15 points serious people only​

Answers

Answer:

3b+17

Step-by-step explanation:

First you distribute

=(3)(b) + (3)(4) + 5

=3b + 12 + 5

Then you combine the like terms:

=3b + 12 + 5

=(3b) + (12 + 5)

=3b + 17

Answer:

3b+17

Step-by-step explanation:

3(b+4)+5

3b+12+5

3b+17

I need helping factoring 5p^2-6p-8=0​

Answers

Answer:

p= -4/5 or p=2

Step-by-step explanation:

Factor left side of equation.

(5p+4)(p−2)=0

Set factors equal to 0.

5p+4=0 or p−2=0

Which equals :

p= -4/5 or p=2

Which polygon appears to be regular?

- Figure A
- Figure B
- Figure C
- Figure D

Answers

Answer:

D

Step-by-step explanation:

Hope this helps! h.a.n.d! (have a nice day.)


Determine if the sequence is arithmetic or geometric. Then, find the common difference or common ratio.
-30, -40, -50, -60, ..

Answers

Answer:

Arithmetic.

d = -10.

Step-by-step explanation:

There is a common difference of -10 so it is arithmetic.

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.
the results will be the same.
the horizontal method will be correct when the polynomials have no more than three terms.
the results will never be the same.

Answers

Answer:

The result will always be the same

Step-by-step explanation:

The complete sentence is,

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the results will be the same. the vertical method will be correct only when the polynomials have no more than three terms.

What are polynomials?

A polynomial is a mathematical equation made up of coefficients and indeterminate that can only be solved using the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

A polynomial exists as an expression consisting of indeterminate and coefficients, that concern only the processes of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Vertical addition exists as s procedure of adding where the numbers are lined up in columns according to their place values. Likewise, vertical subtraction exists as a method of subtracting where the numerals exist lined up in columns according to their place values.

To know more about polynomials refer to :

https://brainly.com/question/1000323

#SPJ2

i really need help please

Answers

Answer:

25

Step-by-step explanation:

PLEASE HELP QUICKLY❗️❗️❗️

Answers

Answer:

C

Step-by-step explanation:

Can I have Brain List

Answer:

a

Step-by-step explanation:

I’m a 6th grader I need help on this

Answers

Answer:

whats the question? I don't see anything.

The average distance from the Sun to Mars is 22,793, 910,000,000 centimeters.

The conversion factors between centimeters and four other units of measure are shown below.

9.46. 10^17 cm = 1 light-year
1.50.10^13 cm = 1 astronomical
1 . 10^5 cm = 1 kilometer
1. 10^2 = 1 meter

For the distance to be expressed as x units of measure, where 1 < x < 10, which unit of measure must be used?

A Light-years
B) Astronomical units
C)Kilometers
D) Meters​

Answers

D would be the correct answer

If a box of wheat crackers contains 6 servings and has a total of 420 calories. Find the number of calories in 1 serving.

Answers

Step-by-step explanation:i think you have to divide then mulitiply

Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, V, of the doll t after purchase.

Answers

Answer:

V = 450 + 0.025t

Step-by-step explanation:

What we know is that Marilyn purchases a doll for $450 dollars, and the value will increase by 2.5% each year. Now that we know this, this means we need an addition equation. We know 450 is being add to the 2.5% increase so the equation is V = 450 + 0.025t. (I put 2.5% as a decimal (0.025))

The equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

What is compound interest?

Compound interest is an interest accumulated on the principal and interest together over a given time period. The compound interest is calculated, after calculating the total amount over a period of time, based on the rate of interest, and the initial principal.

Formula of Compound Interest

 [tex]A = P (1+\frac{r}{100} )^{n}[/tex]

Where,

A = Final amount

P = Initial principal

r = Rate per annum

n = Time in years

According to the question

Marilyn purchases a doll for = $450

i.e, Initial Principal (P) = $450

Doll's value will increase each year by =  2.5%

i.e, Rate per annum = 2.5%

Value (V) of the doll after purchase = Final amount (A)

(t)  = Time in years (n)

Now, Formula of compound interest  

[tex]A = P (1+\frac{r}{100} )^{n}[/tex]

Substituting the values in formula

[tex]V = 450 (1+\frac{2.5}{100} )^{t}[/tex]

[tex]V = 450 (1+{0.025}{} )^{t}[/tex]

[tex]V = 450 ({1.025}{} )^{t}[/tex].

Hence, equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]

To know more about compound interest here:

https://brainly.com/question/14295570

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What percent is represented by the shaded area?

Answers

Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

Drew bought gifts for $140. Sales tax is 5.75%. How much tax did he pay?

a
$220.50
b
$80.50
c
$8.05
d
$148.05

Answers

Answer:

its c! :) I hope this helped you:)

d = 6 ft what is the circumference ​

Answers

Answer:

18.84955592 or 6pi

Step-by-step explanation:

PLS HELP ASAP! 10 POINTS!!

Answers

Answer:

1920

Step-by-step explanation:

14 × 8 × 10 = 1120

10 × 10 × 8 = 800

1120 + 800 = 1920

The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops. Price(dollars)
3. 6.50
7. 12.50
11. 18.50
What is the fee per stop?

Answers

I believe the answer is 2.16

What is m∠1?............

Answers

the answer is 148

hope that helped lol

simple question struggling abit :)

Answers

a. x=7 b. y=12 c. f=11/2

Find the area of the following shape:​

Answers

Answer:

Multiply them

Step-by-step explanation:

use the strategy

hiii sorry to be annoying but i have to answer a question so i can ask another question
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