Mathematics High School

What is the volume of this triangular prism?

Answers

Answer 1

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

B The area of the base which is a triangle

h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Related Questions

Find the sum of
−
3
7
and its opposite

Answers

Answer:0

Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

And also

Which words describe an angle measuring 92º?

Answers

Answer:

obtuse

Step-by-step explanation:

It is obtuse because it is greater than 90 degrees!

the other two questions are asking what is the actual length and what is the actual witdh.so yea...

Answers

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

hey I need help please help if you can ty!!! :)))

Answers

Answer:

12.3

Step-by-step explanation:

cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3

What is the degree of the polynomial?

1

2

4

6

Answers

Answer:

The answer is 6.

Step-by-step explanation:

The degree is the largest exponent on the variable. And in this case the answer is 6.

I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.

What is his rate of commission?______% ( Round to the nearest tenth of a percent)

Answers

Answer:

the answer is 10.52547%

Step-by-step explanation:

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.

Answers

This is question a and b equation + 51 12

the question is in the image

Answers

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

The number 3 represents of the class.

Answers

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

Please help me I will give brainliest

Answers

Answer:

2,250 yd^3

Step-by-step explanation:

formula for pyramid is lwh/3

2,250 is the answer
Ik this cause I took the test

Will give brainliest thanks so much!!!

Answers

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong

If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference

Answers

Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

Can someone help me?

Answers

Answer:

Step-by-step explanation:it is the degree of 4

James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)

Answers

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h(x) represent the height of the shot put, when the horizontal distance is x feet.

h(x)= -0.05x² + x + 6

From the graph of h(x):

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

Find out more on equation at: https://brainly.com/question/2972832

Find The Eqn Of Normal To The Curve y= x² - x - 6 at The Point Where It Process x - axis.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

If it passes through x, then let's find x when y = 0

[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]

[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]

Now, plug in the values of x to find slopes of tangents

[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]

[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]

That's all for Aunty ~ hope it helps !

A town population was 6000 people last year. The population this year is expected to increase by 4%. By how many people is the population expected to increase this year?

Answers

4%of6000=240
the pop will increase by 240 people

You can rewrite the trajectory equation as y = -16(x-1)^2 + 19

Answers

I believe the answer is -16x+35

Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.

A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)

Answers

3w(x+y) - 4z(x+y)

Step-by-step explanation:

Hope it helps......

3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B

How to solve this

To factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.

The given expression is 3wx + 3wy - 4zx - 4zy

First, put the terms into pairs.

The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.

Next, separate and remove the terms that are the same from each group.

The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).

This is a summary:

In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.

Learn more about factoring by grouping from

https://brainly.com/question/11919471

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Solve for x. Leave your answer in simplest radical form

Answers

Answer:

x = 2√7

using Pythagoras theorem:

7² + ?² = 9²?² = 81 - 49? = √32? = 4√2

For the bottom part:

x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.

Answers

ANSWER

solution

here,

Correct option is B)

Total age of 40 old students =40×15=600years.

Total age of 40 old and 10 new students =50×15.2=760years

∴ Total age of 10 new students =760−600=160years

∴ Required average age =

160

=16years

Answer:

16 years is the answer

Step-by-step explanation:

My account got deactivated I am about to cry

Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?

Answers

Answer:

Step-by-step explanation:

X = chris's money

2 times chris's money = 2x

someone help, its calc

Answers

Differentiate

[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]

[tex]\\ \rm\rightarrowtail 4x+9[/tex]

Put x=5

f'(5):-

4(5)+920+929

Option C

instantaneous rate can be found by differentiating the function.

Here,

f(x) = 2(x)² + 9(x)

so differentiating:

f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9

So when x = 5,

f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29

convert the angle 3pi/5 radians to degrees

Answers

well, we know that π is 180°, so then what is 3π/5?

[tex]\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]

Whats the rate of change for (0,3) and (2,-5)

Answers

Answer:

[tex]\boxed{\sf{-4}}[/tex]

Step-by-step explanation:

Solve a slope using a rate of change.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

⇒ y2=(-5)

⇒ y1=3

⇒ x2=2

⇒ x1=0

Rewrite the problem down.

⇒ (-5)-3/2-0

Solve.

⇒ -8/2

Divide.

⇒ -8/2=-4

Therefore the slope is -4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

-5x+2<12 please someone help

Answers

Answer:

[tex]\boxed{\sf{x > -2}}[/tex]

Step-by-step explanation:

Put the term x on one side of the equation.

-5x+2<12

Subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]

Solve.

Subtract the numbers from left to right.

⇒ 12-2=10

⇒ -5x<10

Multiply by -1 from both sides.

⇒ (-5x)(-1)>10(-1)

Solve.

Multiply the numbers from left to right.

-5x*-1=5x

10*-1=-10

→ 5x>-10

Divide by 5 from both sides.

→ 5x/5>-10/5

Solve.

Divide the numbers from left to right.

-10/5=-2

[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]x > -2[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5x+2 < 12[/tex]

To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.

[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]

Which means your answer is "x > -2."

Hope this helps.

If ABC~ DEF, what is the scale factor of ABC to DEF?

Answers

Answer:

that would be 1/2 because its the only one that could reduce the numbers.

Step-by-step explanation:

hope this helps,

kleann

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,

SF = 10 / 20

SF = 1 / 2

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

More about the dilation link is given below.

https://brainly.com/question/2856466

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Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.

Answers

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

What is the condition for a solution?

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

To learn more about the solution visit:

https://brainly.com/question/1397278

What is the arithmetic mean of the
following numbers?
8, 10, 8,5, 4, 7,5,10,8

Help

Answers

Answer:

its simple just add all of the numbers and then divide it by the total frequency

Step-by-step explanation:

4+5+5+7+8+8+8+10+10

=65

=8.125

Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

inactivity fee

Step-by-step explanation:

4.
Which point on the number line
represents 0.3?

Answers

It's C promise me it's C.

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