if r=5 and h=3cm what is the volume of the cone (assume pi =3.14

Answers

Answer 1

Answer:

should be 78.5

Step-by-step explanation:

the formula for volume of a cone is V = pi^2 x H/3

so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5


Related Questions

graph of a function, f(x), has zeros at - 3, and 5. Which of
following is a factor of f(x)?
(2x - 3)
(2x + 3)
(3x + 2)
(x + 5)



Answers

The function is a quadratic function, and none of the given options is a factor of the graph of the function

How to determine the factor?

The zeros of the function are given as:

-3 and 5

This means that:

x = -3 and x = 5

Rewrite as:

x + 3 = 0 and x - 5 = 0

Multiply both equations

(x + 3)(x -5) = 0 * 0

This gives

(x + 3)(x -5) = 0

Express as a function

f(x) = (x + 3)(x -5)

The above means that the factors of the function are (x + 3) and (x -5)

Hence, none of the given options is a factor of the graph of the function

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How to Solve 1.5 kg : 350kg

Answers

30/7

Step-by-step explanation:

1.5kg : 350g

1kg = 1000g

So, 1.5kg = 1500g

1500g : 350g

1500/350 = 30/7

The answer is 30/7.

please help and explain.

Answers

answer : -40/41

steps:

soh cah toa

sin is soh

meaning opposite/hypotenuse

opposite is 9 and

hypotenuse is 41

now you can treat it like a triangle and use the pythagorean theorem

a^2 + 9^2 = 41^2

a^2 + 81 = 1681

a^2 = 1600

a = 40

in soh cah toa

cos is adjacent/hypotenuse so

cos is 40/41

its in quadrant 2 so its negative

-40/41

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Pls help me with them I will give brainilist

Answers

Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

Use the Commutative Property of
Multiplication to write a related
number sentence.
4 X 5 = 20

Answers

Answer:

5*4= 20

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

4*5 = 20

We can change to order and the result is still the same

5*4= 20

Answer:

so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5

Step-by-step explanation:

can someone please help me

Answers

The matrix expressions are:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

How to solve the matrix expression?

The rule for matrix product states that:

If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.

Then, the dimension of the product matrix is: m by p

Using the above rule, we have:

Expression 1:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

By comparison, we have:

12a + 7c = 2

5a + 3c = 3

12b+ 7d = -1

5b + 3d = 2

Using a graphing tool, we have:

a = -15, b = -17, c = 26 and d = 29

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expression 2:

[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

By comparison, we have:

6.75a + 3b = 8

-9a - 4b = 5

Using a graphing tool, the system of equation has no solution

Hence, the matrix expression cannot be solved

Expression 3:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

By comparison, we have:

-2a + 3b = 6

3a + 5b = 8

Using a graphing tool,

a = 3 and b = 4

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

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if you work 8 hours every two days, how many hours will he work in 7 days

Answers

Answer:

28 hours for 7 days

Step-by-step explanation:

8/2 =

4

4 hours for 1 day

1 x 7 =

7

7 x 4

28

28 for 7 days

Answer:

I would say the answer is 28

Step-by-step explanation:

In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.

Mulitply 4*7

or

2 days: 8 hrs

4 days: 16 hrs

6 days: 24 hrs

7 days: 28hrs

Is X/3=5+3y/4 a linear equation

Answers

Answer:

Yes

Step-by-step explanation:

Linear Equations

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

What is a Linear Equation?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

which term describes where the three angle bisecters of a a triangle intersect

Answers

the incenter. it forms a circle

Answer:

The incenter....

Step-by-step explanation:

The point at which all three of the angle bisectors of a triangle meet is known as the incenter

dont confuse it with the circumcenter and the centroid.

i hope this helps!!!

I need help, please and thank you

Answers

Answer:

1 and 1/12

hope this helped

Please help Geometry

Answers

Answer:

the answer is x=16

Step-by-step explanation:

trust me bro

Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.

What was the cost of one book in dollars and cents?

Answers

82-2.20=79.80
79.80/7=11.40
One book cost $11.40

Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

Katrina had $138.72 in her checking account. she wrote checks to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. how much does katrina have in her account now?

Answers

$151.34
You subtract $45.23 and $18.00 from $138.72 and then add $75.85 to the sum of that and get $151.34 as your answer.

How much money is 66 2/3% of $48.00

Answers

Answer: $32

Step-by-step explanation:

The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.

A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.

Which of the following is a true statement regarding the information shown in the histogram?

T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.

Answers

Answer:

Its a categorical variable

Step-by-step explanation:

I took the test on edge

Answer:

T-shirt size is a categorical variable.

Step-by-step explanation:

I used chatopenai.com

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

x ≈ 17.5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

Answer: x= 17.5

Explanation:
9^2 + 15^2= 81 + 225 =306
And the square root of 306 is 17.49 and you ask for it to be rounded to the nearest tenth so it will be 17.5.


What is the shortest distance between the line y = 3x + 5 and the
point (0,0)? Round your answer to nearest tenth.


I NEED A FAST ANSWER PLS

Answers

Answer:

1.6 to nearest tenth.

Step-by-step explanation:

This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).

Equation of that line:

Slope = -1/3  so we can write:

y - 0 = -1/3(x - 0)

So its y = -1/3 x,

The point where it intersects with  the given line is now found:

-1/3x = 3x + 5

10/3 x = -5

x = -5 *3/10 =  -1.5.

- and the y coordinate = 3(-1.5) + 5 = 0.5.

So the point is (-1.5, 0.5)

and the required distance = √((-1.5)^2 + 0.5^2)

=  1.58

= 1.6 to nearest tenth.

Can someone help me with this one math problem?
Convert 32.8% to a fraction in simplest form and a decimal.

Answers

Answer:

Step-by-step explanation:

32.8 = 164/5

= 32/4/5

as a fraction

To convert the decimal 32.8 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

32.8 = 32.8/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

32.8

1

= (32.8 × 10)

(1 × 10)

= 328/10

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,

(328÷2)

(10÷2)

= 164/5

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10

is also equal to 32/4 /5

when expressed as a mixed number.

Which equation is equal to y = 2x + 3 ?
the options are
y + 3 = 2x

y - 3 - 2x = 0

2x + y = 3

y + 2x = -3

Answers

The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

How to determine the equal equation?

The equation is given as:

y = 2x + 3

Subtract 3 from both sides

y - 3 = 2x

Subtract 2x from both sides

y - 3 - 2x = 0

The above means that the equation y - 3 - 2x = 0 is equal to the equation  y = 2x + 3

Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

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The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.

Answers

Answer:

It will become 64 times larger

Step-by-step explanation:

Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)

Answers

Answer:

2ft 2ft

Step-by-step explanation:

2ft,2ft,2ft,2ft

In a 75-minute study period, Ling needed to finish a research paper she spent 3/5 of the time finishing her paper how much time did she have left to complete her history homework?

Answers

30 minutes :) I know this by adding 15 5 times to get 75. 3 times 15 is 45 plus 30 equals 75. Hope this helps. :) good luck on the test or assignment

Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes​

Answers

Answer:

C' (- 25, 5 )

Step-by-step explanation:

since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5

C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )

i need help with this

Answers

The answer is C your welcome

please help i’m failing pre calc!!!

Answers

Linear function : y = x + 4

Exponential function : y = 4.5 e^(0.144 x)

Power function : y = 4.5 x^0.415

The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base and height of the tiangle?

Answers

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

I need an equation for the line

Answers

Answer:

Y = -(1/3)X

Step-by-step explanation:

Extract two points

P1(6; -2) P2(-6; 2)

Now:

Y=mX+n. n=0 (interception with Y axis) exis)

Y=mX +0. m= (y2-y1) / (x2-x1)

m= (2+2) / (-6-6)

m= -(1/3)

Y=-(1/3)X

9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.

Answers

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

Scale factor

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

First similar triangle

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Second similar triangle

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

Choosing a scale factor

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.

We can make an infinite amount of other similar triangles just by changing the scale factor.

Which shape is always a parallelogram

Answers

Answer:

A Square, Rectangle, and a Rhombus

Step-by-step explanation:

I think that is all of them.

Select all right angles

Answers

Answer:

The right angles are B,D,E,and F

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