What is the volume of the following triangular prism?



780 in 3
900 in 3
450 in 3
180 in 3

Answer:

a) 3n+5

b) n+16

c) [tex]\frac{n-9}{2}[/tex]

d) [tex]\frac{x-u}{x+u}[/tex]

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

Answer:

C ≈ 31.4 ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 10 = 10π ≈ 31.4 ft ( to the nearest tenth )

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]

Answer: the chance that a given event will occur

Step-by-step explanation:

When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.

Angle DAB = 360 - 90-90 -155 = 25

Answer: 25 degrees,

Answer:

I got u, maybe.

In a triangle, all angles add up to 180, so it might be 180, you already got 155.

Step-by-step explanation:

The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³

The volume of a cone can be represented as follows:

volume = 1 / 3 πr²h

where

Therefore,

r  = 3 1 / 2 cm = 7 / 2 cm

h = 24 cm

Hence,

volume = 1 / 3 × π  × (7 / 2 )² × 24

volume of a cone = 1 / 3 × π × 49 / 4 × 24

volume of the cone = 1 / 3 × π × 1176 / 4

volume of the cone =  1176 / 12 π

volume of the cone = 98π

volume of the cone =  307.72 cm³

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The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1

From the graph, we have the following features:

Next, we calculate the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{1 + 1}{1 - 0}[/tex]

m = 2

The inequality is then calculated using:

y < mx + b

This gives

y < 2x - 1

Hence, the inequality that describes the graph is y < 2x - 1

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Answer:

q=-5

Step-by-step explanation:

8q+6=4q-14

Remove q from one side

8q+6=4q-14

-4q    -4q

4q+6=-14

Remove 6 from both sides

4q+6=-14

    -6   -6

4q=-20

Divide 4 to isolate q

4q/4=-20/4

q=-5

The number line with the number 4/3 graphed can be seen at the end of the answer.

A number line is something that we use to show the order of the numbers.

Here, we want to show the number 4/3.

Notice that we can write this as:

4/3 = 3/3 + 1/3 = 1 + 1/3

So we need to identify the 1 in the number line, and then move 1/3 to the right.  Below you can see a image where the number 4/3 is graphed on the shown number line.

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Answer:

Step-by-step explanation:

45÷8 = 5.625

Answer:

630 word

10.5 minute: 10×60+0.5×60=600+30=630 second

60 word 60second

? word 630 second

?=630

Step-by-step explanation:

630 words !?! Because 10.5×60=630

If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.

A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.

A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.

Then the volume of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

where r is the radius and h is the height of the cylinder.

We have

h = 3 ft

r = 1 ft

Then the volume of the cylinder will be

Volume = π x 1² x 3

Volume = π x 3

Volume = 9.4247

Volume ≅ 9.43 cubic ft

Then the volume of the cylinder will be 9.43 cubic feet.

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

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ - 1 \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {i}^{2} \times 25} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 5i[/tex]

so, correct choice is D

[tex] \sqrt{ - 25} [/tex]

The equivalent value from the given options.

[tex] \sqrt{ - 25} [/tex]

[tex] = \sqrt{ - 1\times 25} [/tex]

[tex] = \sqrt{ {i}^{2} \times 25 } [/tex]

[tex] = 5i[/tex]

Therefore, the correct answer is option D

Hey ! there

Answer:

Step-by-step explanation:

The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.

For finding integers we are assuming them . So ,

Solution : -

According to question ,

So ,

[tex] \dashrightarrow \qquad \: x + x + 1 = 195[/tex]

Step 1 : Adding like terms ( x and x ) on left side :

[tex] \dashrightarrow \qquad \: 2x + 1 = 195[/tex]

Step 2 : Subtracting 1 on both sides :

[tex] \dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1[/tex]

Simplifying it ,

[tex] \dashrightarrow \qquad \: 2x = 194[/tex]

Step 3 : Dividing with 2 on both sides :

[tex] \dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }[/tex]

On further calculations , We get :

[tex] \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar[/tex]

We know that ,

✰ Therefore , first number is 97 .

✰ Therefore , second number is 98.

Verifying : -

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

Therefore , our solution is correct .

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

                Two consecutive integers have a sum of 195. Find the integers

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The integers are 97 and 98.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                 If integers are [tex]\textbf{consecutive,}[/tex] they stand right next to each other.

Example:- 7 and 8. 7 and 8 are consecutive integers because they stand right next to each other.

Now, let the integer be n.

The integer next to n is 1 greater than n, or n+1.

So we set up the following equation:-

[tex]\bigstar{\fbox{n+n+1=195}[/tex]

[tex]\textsf{\underline}}[/tex]Add the n's:-

[tex]\Longrightarrow[/tex] [tex]\sf{2n+1=195}[/tex]

Subtract 1 on both sides:

[tex]\sf{2n=195-1}[/tex]

[tex]\sf{2n=194}[/tex]

Divide by 2 on both sides:-

[tex]\bigstar{\fbox{n=97}[/tex]

Now that we've found the first integer, finding the second integer is easy, because we can subtract the first integer from the sum of both integers:-

195-97=98

So the second integer is 98.

Quick Check:-

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

The difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

The expression is given as:

[tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex]

Factor the denominators of the expressions:

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}[/tex]

Apply the difference of two squares to x² - 9

[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

Hence, the difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]

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Answer:

A

Step-by-step explanation:

on Edge 2022

Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

The sum of the given expression will be equal to -12.

Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.

The solution of the given expression will be:-

= [  3  -  8  ]  +  [  4   -  5  -  6  ]

= [  -5  ]  +  [  -7  ]

= [  -12  ]

Therefore the sum of the given expression will be equal to -12.

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Answer:

daylilies - $12; ivy - $7

Step-by-step explanation:

one way to answer this question is by using two equations

first write your let statements

let d be daylilies and let i be ivy

7d + i = 91

7d + 3i = 105

then you can subtract the equations

you get -2i = -14

then divide eveything by -2

i = 7

ivy costs $7

lastly plug this into an equation

7d + 7 = 91

7d = 84

d = 12

daylilies cost $12

Let's learn the relationship

So Area is directly proportional to length

The Garden B has largest area

But hang on this is incorrect it's rectangle other side might be too long .

We can calculate also

For garden A

Area

LB

For garden B

Area

Surprisingly assumption at first turned right

Garden A has highest area not Garden B

Answer:

Garden A

Step-by-step explanation:

Formula

(where w is the width and l is the length)

Given:

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(25 + l)

⇒ 120 = 50 + 2l

⇒ 2l = 70

⇒ l = 35 ft

Therefore, the dimensions of Garden A are:

Area = w × l

⇒ Area of Garden A = 25 × 35

                                  = 875 ft²

Given:

Using the formula for the perimeter to calculate the missing side length:

Perimeter = 2(w + l)

⇒ 120 = 2(w + 50)

⇒ 120 = 2w + 100

⇒ 2w = 20

⇒ w = 10 ft

Therefore, the dimensions of Garden B are:

Area = w × l

⇒ Area of Garden B = 10 × 50

                                  = 500 ft²

As 875 > 500, Garden A has the largest area.

Answer: The answer would be A. A flower being pink and a flower being a rose are independent of each other.

Step-by-step explanation:took the test and it was correct on edmentun!!

Answer:

y=8

Step-by-step explanation:

SR=2×SG

AND SG=GR

3y-16=2×4

3y-16=8

3y=8+16

3y=24

y=8

Answer:

-1

Step-by-step explanation:

To solve the problem, it is suggested to use a number line.

~Please look at image attached

We know the following:

Statement: 5 units to the right of -6.

Therefore, we know the following:

Ending point: -6 + 5 = -1

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Answer: Binomial

Step-by-step explanation: There are two variables here, x and y. 5x^4y^8 is a binomial since it involves 2 variables.

Answer:

Monomial

Step-by-step explanation:

A monomial is 1 term. 5x4y8 is one term, and nothing is getting added to it.

Answer:

x = 6

Step-by-step explanation:

(-6, 2), (6, 2), (3, 1), (6, 1)

Answer:

Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Step-by-step explanation:

Chocolate Chunks:

Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.

Peanuts:

Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.

As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Answer:

27.5

Step-by-step explanation:

<DAC is an inscribed angle that subtends a half circle, so m<DAC = 90°.

Triangle DAC is a right triangle.

CD = 30

AD = 12

(AC)² + (AD)² = (CD)²

(AC)² + 144 = 900

AC = √756

AC = 27.5