What is the volume of this prism?

Answer:

Step-by-step explanation:

[tex](x-3)^2+(y-8)^2 = 25[/tex]

The equation of circle: (x - 3)² + (y - 8)² = 25

An equation of circle with center (h, k) and radius 'r' is,

(x - h)² + (y - k)² = r²

For given example,

a diameter of circle = 10 units

So, the radius would be (r) = 10/2

r = 5 units

And the center (h, k) = (3, 8)

So, the equation of the circle would be,

⇒ (x - 3)² + (y - 8)² = 5²

⇒ (x - 3)² + (y - 8)² = 25

Therefore, the equation of circle: (x - 3)² + (y - 8)² = 25

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Answer:  5(13.5-4.5)

5(9)

=45

Answer:

You were right the correct option is

- a > - b

Answer:

36

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

4x – 3y = 17

x = 2

4(2) - 3y = 17

8 - 3y = 17

-3y = 9

y = -3

Answer:

y= -3

Step-by-step explanation:

if x =2, substitute

4(2) - 3y = 17

8-3y = 17

(add 3y to both sides)

8= 17 + 3y

(subtract 17 from both sides)

8-17=3y

-9= 3y

(divide both sides by 3)

-9/3=y

y= -3

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

i think it is 60 cm2

Step-by-step explanation:

The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

percentage, a relative value indicating hundredth parts of any quantity.

The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.

The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.

The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.

Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.

r = (18,000/20,000) - 1 = -0.1

So the percent change per year is -10%, which means that statement A is true.

Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

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Answer:

[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]

Volume without holes = 3 x 6 x 11 = 198 cubic inches.

Calculate volume of one hole:

3.14 x 0.5^2 x 3 = 2.355 cubic inches

There are 3 holes: 3 x 2.355 = 7.065

Subtract volume of the holes from the brick:

198 - 7.065 = 190.935 cubic inches.

Rounded to the nearest tenth: 190.9 cubic inches.

Answer:

190.9 inches^3

Step-by-step explanation:

First of all we have to find the total volume:

V = dimension 1 x dimension 2 x dimension 3

V = 3 x 6 x 11 = 198 inches^3

now we have to find the volume of the cylinders:

V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3

the cylinders are three so:

V = 2.355 x 3 = 7.065 inches^3

at least we have to subtract this value at the total volume:

V= 198 - 7.065 = 190.935 = 190.9 inches^3

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer:

? where's the question

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helps : )

Answer:

All the four statements are true , which are -

(A) The subset contains contains of all the outfits that have grey slacks .

(B)  The subset contains contains of all the outfits that have grey slacks and red tie .

(C) The subset contains contains of all the outfits that have grey slacks and blue shirt .

(D)  The subset contains contains of all the outfits that do not have black slacks .

Step-by-step explanation:

We are given with Outfit 2 , 4 and 6

Outfit 2 -   Blue     grey     red

Outfit 4 -   White    grey     red

Outfit 6   - Black     grey    red

(A) Since only 2,4, and 6 contain grey slacks, and no other outfit contains grey slacks, those are the subsets that contain grey slacks. Thus , this statement is true .

(B) Just outfits 2, 4, and 6 have grey slacks and a red tie, proving the statement. Other clothes do not include grey slacks and a red tie; they may include a red tie but not both grey slacks and a red tie. Hence , the statement is true .

(C) Since the outfit 2 has grey slacks and a blue shirt, the statement is correct; no other outfit has both grey slacks and a blue shirt. Therefore , this statement is also correct .

(D) The argument is correct since all of the subsets contain grey slacks and no black slacks.

Hence , all the options A , B , C , D are correct and describes the subset .

The given question is incomplete , the complete question is attached here -

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = [tex]\frac{384}{512}[/tex] = [tex]\frac{288}{384}[/tex] = [tex]\frac{216}{288}[/tex] = [tex]\frac{3}{4}[/tex] , then recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex] : a₁ = 512

Answer:

1. 48$

2. 72$

3. Positive

4. Every 5 hours, his earnings increase by 24$.

Step-by-step explanation:

All information gathered is from looking at the graph :)

Answer:

The answer is 338 yw please give brainliest id really appreciate it :) ty

Step-by-step explanation:

Answer:

6.4 mins

Step-by-step explanation:

Answer:

⇒ 5/2 min

Step-by-step explanation:

Hong sing total song = 4

Every song takes time = 5/8min

4 song total takes

time = 4×5/8= 20/8

5/2 min

hope it helps..

have a great day!!

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

Answer:

(6x + 7y)(6x - 7y)

Step-by-step explanation:

36x² - 49y²

= (6x)² - (7y)²

= (6x + 7y)(6x - 7y)

In this question we used the identity-

a² - b² = (a + b)(a - b)

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

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Answer:

I believe it has infinite solutions

Step-by-step explanation:

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

Answer:

Percent markup is 200%

Step-by-step explanation:

The cost of each stylus is

[tex]\frac{400}{200} = 2[/tex] dollars

The selling price of each stylus is $6

Percent markup  =

(Selling price - cost price)/cost price *100

[tex]\frac{6-2}{2} *100\\2*100\\200[/tex]%

Percent markup is 200%

What is the value of this expression when c = -4 and d = 10 ? [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) where c = -4 and d = 10

The value of the expression [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

[tex] \frac{1}{4} [/tex] { (-4)³ + (10)² }

[tex] \frac{1}{4} [/tex] ( -64 + 100 )

[tex] \frac{1}{4} [/tex] ( 36 )

[tex] \frac{1}{4} [/tex] × 36

[tex] \bf = \: 9 \: ( Answer ) [/tex]

Answer:

Yes you are correct good job:D

Step-by-step explanation: