. A solid metallic cylinder of diameter 12 cm and height 15 cm is melted and recast into toys in the shape of a right circular cone mounted on a hemisphere as shown in the figure. If radii of the cone and hemisphere are each equal to 3 cm and the height of the toy is 7 cm, calculate the number of such toys that can be formed.​

Answer:

Step-by-step explanation:

first you have to figure out how much room is in the classroom

then you are going to have measure 2 mters apart of each table

Answer:

Dear user,

Answer to your query is provided below

The fraction of the circuit is (3/14)

Step-by-step explanation:

Explanation of the same is attached in image

Answer:

3/14

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

To solve, you need to create a system of equations.  You will need two variables since you have two numbers.  Create your equations based on the descriptions given in the problem.

The difference of two numbers is 4.

x - y = 4

The sum of the two number is -7.

x + y = -7

Your system of equations is

x - y = 4

x + y = -7

You can solve systems of equations through either substitution or elimination.  You will get the right answer either way.  I will use substitution since that is my preference.

Rearrange the first equation so that it is equal to x.

x - y = 4

x = 4 + y

Plug this x-value into the x in the second equation.  Solve for y.

x + y = -7

(4 + y) + y = -7

4 + 2y = -7

2y = -11

y = -11/2

Use the y-value to solve for x.  You can plug it into either equation and get the right answer.  I will use the first equation.

x - y = 4

x - (-11/2) = 4

x + 11/2 = 4

x = -3/2

Now you have both of the numbers.  Multiply to find the product.

-11/2 × -3/2 = 33/4 = 8.25

The answer is 8.25.

Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Answer:

32

Step-by-step explanation:

because its from edg and it has 32 blox :)))))))))))))))))))

Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Answer:

[tex]x = 4[/tex]

[tex]2x + 2(x + 4) \times \frac{1}{2} = 2(x + 4) \\ 2x + x + 4 = 2(x + 4) \\ 3x + 4 = 2(x + 4) \\ 3x + 4 = 2x + 8 \\ 3x + 4 - 2x = 8 \\ x + 4 = 8 \\ x = 8 - 4 \\ x = 4[/tex]

Answer:

Area of a semi circle is 1/2πr²

r = radius

Area = 1/2 × π × 18²

= 162π

= 508.94km²

Hope this helps.

Answer:

Step-by-step explanation:

[tex]r= 18\\A of semicircle = \frac{\pi*r^{2} }{2} \\A = \frac{3.14 *18^2}{2} \\\\A = \frac{3.14*324}{2} \\\\A = \frac{1,017.36‬}{2} \\A = 508.68[/tex]

Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

The equation having x as a subject is,x=y+5. To make x the subject,we have to rearrange the formula;

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

In any given there are two variable, ones is subject. The given equation is;

y=x-5

Here, y is the subject.

To make x the subject,we have to rearrange the formula;

x=y+5.

Hence, the equation having x as a subject is,x=y+5.

To learn more about the equation, refer to the link;

https://brainly.com/question/10413253

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Answer:

ASA postulate: 1 side, 2 angles equal

Step-by-step explanation:

ASA postulate: 1 side, 2 angles equal

Answer:

840 cm³

Step-by-step explanation:

Cut the prism into two cuboids.

The first cuboid has dimensions of 4 cm × 6 cm × 5 cm

The height is 4 cm, the width is 5 cm and the length is 6 cm.

The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.

The height is 8 cm, the width is 6 cm and the length is 15 cm.

The formula for the volume of the cuboid is l×w×h.

Length × Width × Height

The first cuboid has a volume of:

4 cm × 6 cm × 5 cm

= 120 cm³

The second cuboid has a volume of:

15 cm × 6 cm × 8 cm

= 720 cm³

Add the volumes of the two cuboids.

720 cm³ + 120 cm³

= 840 cm³

The volume of the prism is 840 cm³.

Answer:

V = 840 cm³

Step-by-step explanation:

Let's Divide this prism into two rectangular Prisms

Prism 1:

Volume = [tex]Length * Width * Height[/tex]

V = 15 * 8 * 6

V = 720 cm³

Prism 2:

Volume = [tex]Length * Width * Height[/tex]

V = 4 * 5 * 6

V = 120 cm²

Whole Prism

V = 720+120 = 840 cm³

Answer: 3b minutes

Step-by-step explanation:

Here is the complete question:

It takes b minutes for Sylvia's bathtub to fill with water. How many minutes will it take to fill 3 same size bathtubs? Write your answer as an expression.

From the question, we are informed that Sylva bathtub takes b minutes to be filled with water. To calculate the number of minutes will it take to fill 3 same-size bathtub, we have to multiply the amount of minutes it takes Sylva bathtub to fill with water by 3. This can be mathematically written as:

= 3 × b

= 3b minutes

Therefore, it will take 3b minutes to fill 3 same size bathtubs.

Answer:

the answer is C

Answer:

The answer is C.

Step-by-step explanation:

We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.

The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\

Thus, we have:

[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]

Recall that [tex]i^2[/tex] is simply -1.

Thus, we have:

[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]

We can split this:

[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]

Answer:

yes

Step-by-step explanation:

15.3-7.9=7.4

Answer:

y=ln(x) minus five

Step-by-step explanation:

y=ln(x) five units down

Five units down could mean minus five(-5)

The expression can be written as

y=ln(x)-5

That is,

y=ln(x) minus five

The equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

The function is given as:

y = ln(x)

When translated down by 5 units, the rule of translation is:

(x, y) => (x, y - 5)

So, we have:

y' = ln(x) - 5

Hence, the equation that translates y = ln(x) 5 units down is y' = ln(x) - 5

Read more about transformation at:

https://brainly.com/question/4289712

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Answer:

The answer is option d.

Hope this helps.

Answer:

B

Step-by-step explanation:

Answer:

b:7 was not multiplied by StartFraction 2 over 15 EndFraction.

Step-by-step explanation:b is your answer

Answer:

B - 7 was not multiplied by 2/15

Step-by-step explanation:

just did the assigment gooouuoouudddd luck <3

Answer:

18 liquid quarts ≈ 17 litres

Answer:

18 us liquid quart =17.034 liters

Step-by-step explanation:

1) 1 us liquid quart = 0.946 liter

2) Multiply 0.946 *18 = 17.034

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

Answer:

Perimeter = 20

Step-by-step explanation:

Perimeter = 9 + 5 + 6

Best Regards!

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

Answer:

For an nth term U(n) = a + ( n - 1)d

n = number of terms

a = first term

d = common difference

a = -9

d = -3--9 = -3+9 = 6

U(n) = -9 + (n - 1)6

That's option A.

Hope this helps.

Answer:

Answer is given below with explanations.

Step-by-step explanation:

The first otion is the correct answer.

Taking the power 3 on both sides

It gives the answer 9 .

[tex] {(9}^{ { \frac{1}{3} )}^{3} } = {9}^{ \frac{1}{3} \times 3} = 9 \\ is \: the \: correct \: answer \: justifies \\ the \: above \: equation.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

x = 17

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

5x-18 + 4x+45 = 180

Combine like terms

9x +27 = 180

Subtract 27 from each side

9x+27-27 =180-27

9x =153

Divide by 9

9x/9 = 153/9

x =17