What is the volume of the triangular prism?

Answers

Answer 1

Answer: This is the formula to find the volume of a triangular prism. V=1/4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4


Related Questions

Round the price to the nearest dollar.
crackers $1.28

Answers

Answer:

$1

Step-by-step explanation:

You only round up when the number next to the number they are asking is 5 or higher

Answer:

$2

Step-by-step explanation:

You do not want to bring $1 to buy crackers because you wouldn't have enough and you would go home with no crackers.

You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?

Answers

Answer:

18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Step-by-step explanation:

Given that the container [tex]a[/tex] has 20% concentrated cleaner

and container [tex]b[/tex] has pure water which has 0% cleaner.

Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.

So,

[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]

As the total amount of the final solution= 40 gallons

So, [tex]x+y=40\cdots(ii)[/tex]

Using the value of equation (ii) in equation (i), we have

9% of 40 = 20% of x

[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]

[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]

[tex]\Rightarrow x=18[/tex] gallons.

From equation (ii),

18+y=40

[tex]\Rightarrow y=40-18=22[/tex] gallons.

Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

If f(x)=2x^3+4x^2, find f(-3)

Answers

Answer:

f(-3) = -18

Step-by-step explanation:

f(x)=2x^3+4x^2, find f(-3); let's rewrite

f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x

f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents

f(-3) = 2(-27) + 4(9); multiply and add

f(-3) = -54 + 36 = -18

The value of the function  f(x) = 2x³ + 4x² at f(-3) is - 18.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 2x³ + 4x².

Now, The value of the function f(-3) can be obtained by replacing

x with - 3.

Therefore, f(-3) = 2(-3)³ + 4(-3)².

f(-3) = 2×-27 + 4×9.

f(-3) = - 54 + 36.

f(-3) = - 18.

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You only have to answer 7,8 but if you want you can do 9 and 10

Answers

Answer:

#7) x = 3

#8) x = 9

Step-by-step explanation:

# 7

Well AOB + BOC = AOC so...

4x - 1 + 2x + 15 = 8x + 8 (collect like terms)

6x + 14 = 8x + 8 (subtract 8 on each side)

6x + 6 = 8x (subtract 6x on both sides)

6 = 2x (divide by 2 on both sides)

3 = x

#8

COD + BOC = BOD so..

8x + 13 + 3x - 10 = 12x - 6 (collect like terms)

11x + 3 = 12x - 6 (add 6 on both sides)

11x + 9 = 12x (subtract 11x on both sides)

9 = x

Hope this helps!!

78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)

Answers

Answer:

Answer is

13000

Step-by-step explanation:

78÷0.6%=13000

What is the congruence statement?

Answers

Triangle JPA is congruent to triangle TVS

Answer:

triangle pjl is congruent to it's by side side side theorem

Is 2 greater than -9

Answers

Answer:

yes

Step-by-step explanation:

any positive number is greater than a negative

who can solve |x-4| = 21

Answers

Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

Answer:

the answer is 25 or -17

i need help with this

Answers

Answer:

Hey there..Sorry but, I don't know the answer to this..! Wish I could help.

Answer: -4 1/4x + 2
Explanation: Start by making the denominators equal to each other, and to do so multiply 2 at the numerator and denominator of the fraction 3/4. That gives you 11/8 and then you combine like terms for 11/8 and 5. That gives you 6 3/8. Subtract.

Write 0.15 as a fraction in simplest

Answers

Answer: 3/20 also known as 15%  Hope this helps Have a great night

Step-by-step explanation:

Ruby's family took a road trip to Mount Rushmore. Ruby slept for the last 476 miles of the trip. If the total length of the trip was 700 miles, what percentage of the total trip had they traveled when Ruby fell asleep?

Answers

700 - 476 =

 700

+476

______

 1176


32%

Explanation

700 - 476 = 224
I googled 224 is what percent of 700

do all of the digits in 8.88 have the same value? and explain why.

Answers

Answer:

No

Step-by-step explanation:

Mitochondria is the powerhouse of the cell

Question 12 pts
Line a passes through the points (-2, 3) and (4, 6), line b passes through the points (0, 2) and (2, 3). Are these lines parallel?

Group of answer choices

No, they are not parallel

Yes, they are parallel because their slopes are negative reciprocals

Yes, they are parallel because they have the same slope

Not enough information to answer

Flag this Question
Question 22 pts
Write an equation for the line that passes through the point (4, -1) and is parallel to the line y = 2x - 5.

Group of answer choices

LaTeX: y-1=2\left(x-4\right)y − 1 = 2 ( x − 4 )


LaTeX: y+1=2\left(x-4\right)y + 1 = 2 ( x − 4 )


LaTeX: y+1=5\left(x-4\right)y + 1 = 5 ( x − 4 )y + 1 = 5 ( x − 4 )


LaTeX: y-1=5\left(x-4\right)y − 1 = 5 ( x − 4 )y − 1 = 5 ( x − 4 )


Flag this Question
Question 32 pts
Write an equation for the line that passes through the point (-2, -4) and is perpendicular to the line y = 3x - 2.

Group of answer choices

LaTeX: y+4=-\frac{1}{3}\left(x+2\right)y + 4 = − 1 3 ( x + 2 )


LaTeX: y+4=\frac{1}{3}\left(x+2\right)y + 4 = 1 3 ( x + 2 )


LaTeX: y-4=-\frac{1}{3}\left(x-2\right)y − 4 = − 1 3 ( x − 2 )


LaTeX: y-4=\frac{1}{3}\left(x-2\right)y − 4 = 1 3 ( x − 2 )


Flag this Question
Question 42 pts
Write an equation for the line that passes through the point (-1, 5) and is perpendicular to the line LaTeX: y=-\frac{1}{2}x-6y = − 1 2 x − 6

Group of answer choices

LaTeX: y-5=2\left(x-1\right)y − 5 = 2 ( x − 1 )


LaTeX: y-5=-2\left(x-1\right)y − 5 = − 2 ( x − 1 )y − 5 = − 2 ( x − 1 )


LaTeX: y-5=-2\left(x+1\right)y − 5 = − 2 ( x + 1 )y − 5 = − 2 ( x + 1 )


LaTeX: y-5=2\left(x+1\right)y − 5 = 2 ( x + 1 )


Flag this Question
Question 52 pts
Write an equation in standard form for the line that passes through the point (3, -4) and is parallel to the line LaTeX: y=\frac{1}{2}x+8y = 1 2 x + 8

Group of answer choices

LaTeX: x-2y=7x − 2 y = 7


LaTeX: x-2y=-16x − 2 y = − 16x − 2 y = − 16


LaTeX: x-2y=11x − 2 y = 11


LaTeX: x-2y=14

Answers

Answer:

tour answer should be no they are not be parellel

Step-by-step explanation:

Answer:

tour answer should be no they are not be parellel

Step-by-step explanation:

Solve : 2/3+(x)=3
A)-4/3
B)-7/3
C)4/3
D)7/3

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2/3+x=3

Step 1: Subtract 2/3 from both sides.

x+ 2 /3 − (2/3 )=3−(2/3)

You'll end up with 7/3 :D

have a great day! :D))

A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 9, 16, 11, 19, 4, 10, 15, 19

Answers

Answer:

So what's your Question.

I think The Mean ????

Step-by-step explanation:

So it is Add all the Values which is 103

Divide it by no. of Values which is 8

You'll get 12

Which is Mean !!!!

Simplify: 2(5+3x) + (x + 10)

Answers

Answer:

= 20 + 7x

Step-by-step explanation:

2(5+3x) + (x + 10)

10 + 6x + (x + 10)

= 20 + 7x

The simplified expression is 20+7x.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given:

2(5+3x) + (x + 10)

Now, simplifying

10 + 6x + x +10

=10 + 10 + 6x + x

=20 + 7x

Hence, the simplified expression is 20+7x

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can someone please help? i would really appreciate it :)

Answers

Oh this is easy it’s the same angles for the figure to the right to shape is just turned a different way just put the correct degrees in the the right angles

Write a linear equation in point-slope form of the line that has a slope of
and passes
through the point (3,-2).

Answers

Answer: (y+2)+=15(x+3) or (y+1)+15(x-2)

Step-by-step explanation:

Work out the length x pls ​

Answers

Answer:

~17.67

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

7.5^2+16^2=c^2

~17.67

Answer:

Step-by-step explanation:

We use pythagorus theorem which is; a²+b²=c²

(16cm)²+(75/10cm)²=x²

256cm²+225/4cm²=x²

1249/4cm²=x²

√1249/4cm²=√x²

312.25cm=x

use a single digit times a power of 10 to estimate the number 0.00007264

Answers

Answer:

0.0007264

Step-by-step explanation:

I think it is right but if not I am so sorry! Hope this helps!

Help needed. Only 1-5 is needed help on plz and ty

Answers

Answer:

number 5 is y= 3    7-3=4x4=16

Step-by-step explanation:

Solve the quadratic equation 3x^2+8x=30 by completing the square.

Which expression correctly represents the solutions of the equation?

4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3

Answers

I think the second one

Answer:

B

Step-by-step explanation:

im bad at explaining this :(

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above

Answers

Answer:

The answer is B

Step-by-step explanation:

PLS HELP FIND ANGLE MEASUREMENTS

Answers

Answer:

From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36

So,

x = 72

y = 36

At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option has the lesser price per ticket.

Answers

Answer:

The 10 dollars for 25 tickets

Step-by-step explanation:

Please help. It’s due today

Answers

Answer:

There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)

Step-by-step explanation:

There is no question there

what is 1983917481724869826846164619/1816498646149816496416461984628+28319727847124798-274812987198463861294=?​

Answers

Answer:

-2.7478467e+20

Step-by-step explanation:

Ty google :3

1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?

Answers

B) I can’t read this.
This is the weirdest thing I’ve ever seen

Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)

Answers

Answer:

I think its 'r= 15/7=0.467'

Step-by-step explanation:

What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)

Answers

Step-by-step explanation:

Hey there!

Note: Use double point formula for finding the eqaution which passes through two points.

Given;

The points are; (1,-3) and (3,1).

Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]

Put all values.

[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]

Simplify it.

[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]

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

[tex]y + 3 = 2x - 2[/tex]

[tex]y = 2x - 2 - 3[/tex]

[tex]y = 2x - 5[/tex]

Therefore, the eqaution is y = 2x-5.

Alternative:

Steps:

Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.

Formula:

Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)

The points are; (1,-3) and (3,1).

Now;

Slope= (1- (-3))/(3-1)

= (1+3)/2

= 2

Again;

Using one-point formula.

(y+3) = 2(x-1)

y+3= 2x-2

y = 2x -5

Therefore, the equation is y = 2x-5.

(You can follow up any method you want)

Hope it helps....

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