Find the volume of the cone.
13 cm
r= 9 cm

Answer:

c = 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√169= √c²

13 = c

Answer:

Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.

Answer:

98 ft²

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

Want points

Answer:

8

Step-by-step explanation:

2*1*4=8

Answer:

A, C, and D

Step-by-step explanation:

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Answer:

[tex]\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i[/tex]

[tex]\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}[/tex]

[tex]\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}[/tex]

Step-by-step explanation:

1) The sum of a series of the cubes of numbers 'i' is given as follows;

Sₙ = n/2 × (1st term + Last term)

∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2

It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;

Sₙ = (n·(n + 1)·(2·n + 1))/6

It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;

Sₙ = (n·(n + 1)/2)²

Therefore, we have;

[tex]\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c[/tex]

[tex]\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b[/tex]

[tex]\sum\limits_{i=1}^{n} c = c \cdot n = d[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a[/tex].

Answer:

c, b, d, e, a

Step-by-step explanation:

Answer:

Reduced fee for each additional round will be $5.

Step-by-step explanation:

Let the reduced fee for each additional round played = $x

Charges for one round = $13

If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x

Since, Tom paid $43 for 6 rounds,

13 + 6x = 43

6x = 43 - 13

6x = 30

x = 5

Therefore, reduced fee for each round will be $5.

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

Answer:

i think the answer to this question is 2.461

Step-by-step explanation:

For a semicircle, the total perimeter includes half of the circumference + the diameter.

The half circumference is given by 2 pi r / 2

So the perimeter of 19.02 = 2pi r/ 2 + 2r

The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².

As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:

r = 18 inches / 2 = 9 inches

The height of the cylinder is given as 4 inches.

To find the total surface area of a cylinder, we can use the following equation:

Total Surface Area = 2πrh + 2πr²

Now we can substitute the values into the equation to find the total surface area:

S = 2π(9)(h) + 2π(9)²

Therefore, the required equation is S = 2π(9)(h) + 2π(9)².

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Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.

Answer:

Step-by-step explanation:

they want you to recognize that it's a linear relationship

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer:

I.  most probably

Hope it helps!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's like this Loving ,    62.90 / 330 = 0.1906...

so she paying about 19 cents per mile  :)

Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

Answer:

AED 18.85

Step-by-step explanation:

Given that:

Radius, r = 1cm

Length = height, h = 12

Cost per cm³ = AED0.50

VOLUME OF CYLINDER = pi * r² * h

Volume = 3.14 * 1² * 12

Volume = 37.699 cm³

Cost per cm³ = AED 0.5

TOTAL COST :

AED 0.5 * 37.699

= AED 18.849

= AED 18.85

Answer:

hope this helps you out ask me if you need more help

Answer:

so first you would find out the whole equation after you plug in x and it would be

y=8-6

y=2

so the answer is A. 2

The value of y is 2.

The correct option is (A).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equation is: y = 8 – 2x.

So, when x=3

y= 8-2*3

 =8-6

 = 2.

Hence, the answer is A. 2

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Answer:

24

Step-by-step explanation:

Here is the complete question

Priscilla has some grapes that she wants to give to her friends. She wants to give 1/4 of a kilogram of grapes to each friend. If Priscilla has 6 kilograms of grapes, to how many friends can she give grapes?

Number of friends she can give grapes to = total kilograms / kilogram she wants to give to each friend

6 ÷[tex]\frac{1}{4}[/tex]

6 x 4 = 24 friends

Answer:

240

Step-by-step explanation:

360 minus 120 degree give 240 degree

Answer: 60

Step-by-step explanation:

120/2= 60

Answer:

450

Step-by-step explanation:

i think thats right

Answer:

6-   D

4-   A

3-   A

Step-by-step explanation:

Answer:

6. = D

4. = A

Step-by-step explanation:

6. 2(2.5)= 5

4(2.5)= 10

6(2.5) =15

9(2.5) is not 21 its 22.5

4. 125÷5 = 25

Answer: 6

Step-by-step explanation:

The area of the triangle EDF is 6 in².

Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.

Given that, two triangles are similar, ABC and EDF,

We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.

Therefore,

ar(ΔABC)/ar(ΔEDF) = (2/4)²

24/ar(ΔEDF) = 1/4

ar(ΔEDF) = 6

Hence, the area of the triangle EDF is 6 in².

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