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The object below is made of six identical rectangular prisms. The overall dimensions of the composite solid are 24 inches (in.) by 24 inches by 6 inches. What is the volume, in cubic inches, of a single prism?
A
16in.3
B
96in.3
C
192in.3
D
576in.3

An equation is formed of two equal expressions. The equation that represents the correct relationship between volume, radius, and height is V=khr².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the volume of a cone, V varies jointly with its height, h, and the square of its radius, r. Therefore, the relationship can be written as,

V ∝ h(r²)

Also, k is the constant of proportionality, therefore, the equation now can be written as,

V = k×h×r²

Hence, the equation that represents the correct relationship between volume, radius, and height is V=khr².

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Answer:

1

Step-by-step explanation:

rise/run = 1/1 = 1

The expression showing the number of students in the drama club the next year is 15+d.

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 that, there are 20 students in a drama club,

5 of them will leave in next year, and d students will join,

We are asked to construct an expression to represent the total number of students in the drama club next year.

So, the present number of students in the club = 20

After next year = 20-5 = 15

After the joining = 15+d

Hence the expression showing the number of students in the drama club the next year is 15+d.

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Answer:

Y=m6-6

Step-by-step explanation:

Original equation for slope-intercept.

Y=MX+B

Substitute given values

X=slope

B= Y-intercept

Given slope:

6

Given y intercept:

-6

Simply plug in given values into the original equation

y=m6-6

Answer:

true

Step-by-step explanation:

Answer:

It can be written as:

(9m)(9m)(9m)(9m)

Step-by-step explanation:

Answer:

individuacion división como quieras

Answer:

B. - 1/12

Step-by-step explanation:

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Answer:

[tex] \frac{2}{3} \\ \\ \frac{2}{2} \\ \\ \frac{4}{3} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

For example 1/1, 2/3 and 4/3

Step-by-step explanation:

There is a great way to generate rational numbers between other rational numbers using:

[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]

So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.

(1+3)/(2+2) = 1/1, so we got our first rational number.

Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2

(1+1)/(2+1) = 2/3

(1+3)/(1+2) = 4/3

We could also look for a number between 1/2 and 2/3 and find

(1+2)/(2+3) = 3/5

And so on, so forth :)

Answer:

Step-by-step explanation:

It is a right triangle, so use the Pythagorean Theorem to solve for x.

x² +  8² = 11²

x² = 11² - 8² = 57

x = √57

Answer:

x = 65

Step-by-step explanation:

straight line = 180 degrees

so

180 - 165 = 25

90 + 25 = 115 degrees

180 - 115 = 65 degrees

so

x = 65

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Answer:

answer are

a.k=13.5;13.5y=x

b.k=1.5;y=1.5x

c.k=1.5;y=1.5/x

d.k=13.5;xy=13.5

Answer:

45.5

Step-by-step explanation:

....................

Answer:

the last one

Step-by-step explanation:

32+26=58

32-26=6

Answer:

The first number is 32 and the second is 26

Step-by-step explanation:

Let the two numbers be represented by x and y

1) x + y = 58

2) x - y = 6

x = 6 + y, we'll use put this in the first equation.

x + y = 58

6 + y + y = 58

6 + 2y = 58

2y = 58 - 6

2y = 52

2. 2

y=26, now let's find x, again use the first equation

x + y = 58

x + 26 = 58

x = 58 - 26

x = 32

Answer:

The slope is 1/3

Step-by-step explanation:

I am going to use points (10,20) and (40,30)

m = rise/run = 10/30

simplify (divide by 10)

1/3

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Answer:

Step-by-step explanation:

9(x + 10 ) -99

9x + 9 × 10-99

9x - 9

Answer:

9(x-1)

Step-by-step explanation:

9(x + 10) - 99​

=> 9x + 90 - 99

=> 9x - 9

=> 9(x-1)

Answer:

m∡BCA = 57°

Step-by-step explanation:

find 'x' by adding all expressions and setting them equal to 360°

9x+1 + tx+12 + 10x-37 = 360

24x = 384

x = 16

Substitute 16 into 10x-37

160 - 37 = 123

m∡BCA is supplemental with 123°, therefore it measures 57°

Answer:

d

Step-by-step explanation:

Answer:

(-4,-4)

Step-by-step explanation:

Delta math

According to graph, the coordinates of the vertex of the parabola are (-4,-4).

"A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped."

"The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form, the vertex will be the minimum (lowest point) of the graph and the maximum (highest point) of the graph.

After analysing the graph, the vertex of the parabola are (-4,-4)

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Answer:

-3x - 2 + 4x - 1 = x - 3

Step-by-step explanation:

open brackets and simplify

Answer:

x−3

Step-by-step explanation:

Hope this helps.

Answer: 0 < x < 5.6

Step-by-step explanation:

The sides of triangle:

Any two sides added together have to be larger than the third side

So:

2.8 - 2.8 < x < 2.8 + 2.8

0 < x < 5.6

Answer:

20, 250

Step-by-step explanation:

just search up surface area of a square pyramid, enter the width, length, and height and it should give you: 20,250

Answer:

Brace girders

As a horizontal link between foundations or pile heads, the braces are dimensioned with the relationship between free span and the height of the beam, L / h <10, preferably 7, but the height should not be less than 40 cm.

Answer: 50 oranges

Step-by-step explanation:

1 kg = 1000 g - 4 kg = 4000 g 4000g/80g= 50 (This gives the number of oranges in the box since each orange weighs 80 grams.)

Answer:

x = -12.57

Step-by-step explanation:

2x + 45 - 56 = 9x + 54 + 23

2x - 11 = 9x + 77

-11 = 7x + 77

-88 = 7x

x = -12.57

Answer:

gj its correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can not have the same x-values but can have the same y-values. Because option B uses 0 as its x-value more than once, option B does not represent a function.

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Answer:

Step-by-step explanation:

1.5ft(12in/ft)(2.54cm/in)=45.72cm