What expression represents the volume of this prism as a product of the area of its base and its height?


Drag a number to each box to complete the expression.

1 2 3 4 8 9 12

[ ] x [ ] cubic units

Answer:

1 1/4

Step-by-step explanation:

5/4 = 1.25

As you can see 1 is the whole

1 divide by .25 = 4

Thus, 1 1/4

[tex]\frac{5}{4}=1\frac{1}{4}[/tex]

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1.25 is the quotient when 5 is divided by 4.

A division is a process of splitting a specific amount into equal parts.

In division, the dividend( the number being divided) is divided by the divisor (the number you are dividing by) to get the quotient (the result of the division).

In this case, the dividend is 5 and the divisor is 4.

So, 5 divided by 4 is equal to 1.25:

Five divided by four equal to one point two five.

5 ÷ 4 = 1.25

Hence, 1.25 is the quotient when 5 is divided by 4.

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Answer:

26% of 346 is 89.96

Step-by-step explanation:

346 ÷ 100 = 3.46

3.46 × 26 = 89.96

Answer:

48 feet

Step-by-step explanation:

The rug is a square so that means that the sides are going to be the same length. 12*12 = 144 so the lengths of the sides are 12 feet. 12+12+12+12 = 48

hope this helped! :)

Answer:

I might be wrong but I believe the answer is 48 ft.

Step-by-step explanation:

Answer: 60 degrees

Step-by-step explanation:

By using what we know about intersecting lines, we will see that:

When two lines intersect, 4 angles are formed. There are two properties that these angles have.

a) We know that ∡5 = 47°

And 7 is not adjacent to 5, then 7 has the same measure:

∡7 = 47°

b) 6 and 5 are adjacent, then we must have that:

∡5 + ∡6 = 180°

47° + (2x - 5)° = 180°

That is the equation we need to solve to get the value of x.

c) To solve the linear equation we need to isolate x, let's do that:

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69.

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Answer:

[tex]625 = 10x \\ x = 625 \div 10 \\ = 62.5[/tex]

Answer:

Given

Let number of students who have a pet denoted by "X" And number of students who do not have a pet denoted by "Y"

Step-by-step explanation:

Ratio of students who have a pet = [100 - (X/Y * 100)]

Ratio of students who have a pet = [100 - (30/47 * 100)]

Ratio of students who have a pet = [100 - (67.8)]

Ratio of students who have a pet = 36.2

Answer:

25% a b i dont know

Step-by-step explanation:

Answer:

5 x 2 ( 3 x + 2 )

Step-by-step explanation:

Answer:

A = 2

B = -1

C = 3

remainder= 19

Step-by-step explanation:

A(x+1)³ + B(x+1)² + Cx + 22 =

A(x³ + 3x² + 3x + 1) + B(x² + 2x + 1) + Cx + 22 =

Ax³ + (3A + B)x² + (3A + 2B + C)x + (A + B + 22) =

2x³ + 5x² + 7x + 23

→

A = 2

3A + B = 5 → 3(2) + B = 5 → B = 5 - 6 → B = -1

3A + 2B + C = 7 → 3(2) + 2(-1) + C = 7 → C = 7 - 6 + 2 →

C = 3

remainder :

(2x³ + 5x² + 7x + 23 )/ (x² + 2x + 1) =

(2x³ + 5x² + 7x + 23 )/ (x + 1)²

→

(x + 1)² = 0 → x = -1

2(-1)³ + 5(-1)² + 7(-1) + 23 = -2 + 5 - 7 + 23 = 19

Answer:

x = 28

Step-by-step explanation:

(x + 9)° + (2x + 5)° + (3x - 2)°= 180°

(6x + 12)° = 180°

[tex]6x=180-12[/tex]

[tex]x =\frac{168}{6} =28[/tex]

Hope this helps

Answer:$56

Step-by-step explanation:

x/700 = 8/100

(8)700 = 5,600

5,600/100 = 56

Answer:

C ≈ 26.73 m

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 8.51 ≈ 26.73 m ( to 2 dec. places )

The ratio of students that got A to students that got B is an illustration of comparison

The number of students that got A in the test is 8y/x

The ratio of the student is given as:

A : B = y : x

8 students got B in their final test.

So, the ratio becomes

A : 8 = y : x

Express the ratio as a fraction

[tex]\frac A8 = \frac yx[/tex]

Multiply both sides by 8

[tex]A = \frac{8y}x[/tex]

Hence, the number of students that got A in the test is 8y/x

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Answer:

see below ( i am not sure about the answers)

Step-by-step explanation:

positive

negative

negative

positive

(8,9)

Step-by-step explanation:

5=2+X/2

10-2=X

8=X

7=5+y/2

14=5+y

14-5=y

y=9

(8,9)

In order for a triangle to be considered a right triangle, one of the sides must be 90°. In this case, the triangle is not because none of the three sides equals 90°

Answer:

She receives 108.33% ( or $108.33)

Step-by-step explanation:

Tara receives $108.33 because 13/12 into a percentage =108 times 100

which = 108.33.That's all there is to it! Hope you have a great day.

Answer:

so is this a question?

Step-by-step explanation:

Please explain what you are asking thank you.

Answer:

By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.

Hope it helps..

The length of [tex]CD[/tex] is 2.

Since [tex]CD[/tex] is tangent to the circle, then [tex]AD\perp CD[/tex]. Then, the triangle [tex]ABD[/tex] is right angled. Thus, the length of [tex]CD[/tex] is found by Pythagorean theorem:

[tex]AC = \sqrt{AD^{2}+CD^{2}}[/tex]     (1)

If we know that [tex]AB = 1.5[/tex], [tex]BC = 1[/tex] and [tex]AD = 1.5[/tex], then the length of [tex]CD[/tex] is:

[tex]CD = \sqrt{AC^{2}-AD^{2}}[/tex]

[tex]CD = \sqrt{2.5^{2}-1.5^{2}}[/tex]

[tex]CD = 2[/tex]

The length of [tex]CD[/tex] is 2. [tex]\blacksquare[/tex]

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Answer:

8/10, 12/15, 16/20 and so on

Step-by-step explanation:

4x2/5x2 = 8/10
4x3/5x3 = 12/15
4x4/5x4 = 16/20 and so on

Answer:

The option which is:

On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).

Step-by-step explanation:

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

Given:

f(x) = x²

g(x) = (x-5)² + 1

By comparing [ the translation from f(x) to g(x) ] with the rules of translation

We can deduce that g(x) is the image of f(x) by translation 5 units right and 1 unit up ( rules 1 and 4)

See the attached figure which represent the graph of f(x) and g(x)

As shown g(x) goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10)

y = 27

21 / 3 = 7

7 * 4 = 28

28 - 1 = 27

Answer:

Step-by-step explanation:

4.0/5

7

The graph of f(x) = x in a straight line passing through the origin (0,0) and  at an angle of 45 degrees to the x axis. It increases from left to right.

Reflection in the x axis  will convert all positive values of f(x) to negative values of f(x)  and vice versa.  

g(x)  = - x     and is a striaght line passing through origin  at angle of 45 degrees but the slope descends from left to right.

The reflection of function f(x) = x² across the x-axis is given by,

g(x) = -(x - 0)² + 0.

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Given that,

Function: f(x) = x²

Desired reflection function: g(x)

Reflection of f(x) across the x-axis gives g(x)

Need to find g(x) in the form a(x - h)² + k, where a, h, and k are integers.

To find the reflection across the x-axis of the function f(x) = x²,

Negate the function's y-values.

So, for g(x), the reflection of f(x) across the x-axis,

g(x) = -f(x)

g(x) = -x²

To write this in vertex form, complete the square. Let's begin:

g(x) = -x²

g(x) = - (x²)

g(x) = -1 (x²)

Now, to complete the square,

Take half of the coefficient of x, square it, and add it inside the parentheses:

g(x) = -1(x²)

Taking half of the coefficient of x, we get -1/2.

Squaring it gives 1/4.

Adding this inside the parentheses, we have:

g(x) = -1(x² + 1/4)

To maintain symmetry,

Write the expression inside the parentheses as a perfect square:

g(x) = -1(x² + 1/4)

g(x) = -1(x²  + (1/2)²)

Now, factoring out the -1, we get:

g(x) = -(x²+ (1/2)²)

Finally, we can rewrite this expression in the form a(x - h)² + k:

g(x) = -(x - 0)² + 0

Hence, the reflection of f(x) = x² across the x-axis is given by,

g(x) = -(x - 0)² + 0.

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Answer:

Approximately 25.48

Step-by-step explanation:

V = πr²h

V=πr2h=π·1.32·4.8≈25.4846

V ≈ 25.48

Answer:

Each person can get 3 3/4 cookies.