Find the surface area of each polyhedron. Explain your reasoning clearly.

The radius of the cone is 7 feet

The given parameters are:

Surface Area, A = 216π

h = 8/3r

The surface area of a cone is:

[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]

Factor out r

[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]

Evaluate the exponent

[tex]216\pi = \pi r(r + r * 2.85)[/tex]

Evaluate the sum

[tex]216\pi = \pi r(3.85r)[/tex]

Divide both sides by pi

[tex]216 = 3.85r^2[/tex]

Divide both sides by 3.85

[tex]56.10 = r^2[/tex]

Take the square roots of both sides

r = 7 (approximately)

Hence, the radius of the cone is 7 feet

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Answer:

The radius is about 9 feet.

Hope this helps!

Step-by-step explanation:

Answer:

he purchased 12 pencils

Step-by-step explanation:

1.24x12=14.88

14.88-20= 5.12

also this kid i knew has the same pfp

Answer:

C

Step-by-step explanation:

[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]

Now you may reduce the fraction

[tex] = {5}^{5} [/tex]

Answer:   The fifth number is 5

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 12 1/2x10 1/3=20

Step-by-step explanation:

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

Hence the answer is 61....

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

Answer:

centre = (- 3, 2 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius )

(x + 3)² + (y - 2)² = 64 ← is in standard form

with centre (- 3, 2 )

Answer:

[( 4² + 5 + 3 × 4 )] × 3

= ( 4 × 4 ) + 5 + 3 × 4 × 3

= 16 + 5 + ( 3 × 4 × 3 )

= 16 + 5 + ( 12 × 3 )

= 16 + 5 + 36

= 21 + 36

= 57

Answer:

99

Step-by-step explanation:

pemdas states:

PARENTHESIS

EXPONENTS

MULTIPLICATION/DIVISION (left to right)

ADDITION/SUBTRACTION (left to right)

the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation

3*4 = 12

then add 12 to 5

12 * 5 = 17

(4^2 + 17) * 3 is what you have left

the next thing you do is the exponent

4^2 is 4*4 or 16

then add 16 to 17

16 + 17 = 33

then at the end

you multiply it by 3

33 * 3 = 99

your answer is 99

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

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The functions in ascending orders are:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.

Note that in the above such as 3x, 3x + 8, the  functions in ascending orders as it start with the function that has it least value.

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Answer:

14.375 Or 115/8

Step-by-step explanation:

since 8 7/8 = 71/8 and 7 5/6 = 47/6 and 2 1/3 = 7/3

then 71/8 + ( 47/6 - 7/3) = 115/8

Answer:

80

Step-by-step explanation:

8 different colors multiplied by 10 different patterns

Answer:

the answer to your question is pyramid

Step-by-step explanation:

C. Midpoint

The average is the distance of the line divided by 2

Answer:

60

Step-by-step explanation:

please

that is the solution

Answer:8 miles

Step-by-step explanation:

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

#a

#b

Answer:

Approximately 6 cups

Step-by-step explanation:

One pint is equal to 2.402 cups. Multiplied by 2.5, that gives you 6.00475. The final answer (6 cups) is rounded.

Length be x

width be x-5

So

Area=Length×Breadth

Or

If x turned y

Option C

Option A can be true as per commutatI've property

Option B is true

Answer:

y² - 5y = 750

750 - y(y - 5) = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

Substituting the given values into the formula and rearranging in different way:

Equation 1

⇒ 750 = y(y - 5)

⇒ y(y - 5) = 750

⇒ y² - 5y = 750

Equation 2

⇒ 750 = y(y - 5)

⇒ 750 - y(y - 5) = 0

Equation 3

⇒ 750 = y(y - 5)

⇒ y(y - 5) - 750 = 0

⇒ y² - 5y - 750 = 0

⇒ y² - 30y + 25y - 750 = 0

⇒ y(y - 30) + 25(y - 30) = 0

⇒ (y + 25)(y - 30) = 0

Answer- 200m

: Right now Sam is 200m far from her starting point

Answer: I think it might be 10y

2

+39y+35

Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.

hope this helps!

♥ Chen was here

Answer:

10y^2 + 39y +35

Step-by-step explanation:

First distribute (2y+5)(5y+7)-

2y(5y + 7 )+ 5(5y + 7) This turns into:

10y^2 + 14y + 25y +35

Now combine the like terms (14y+25y)

You should get 10y^2 + 39y + 35 which is your final answer. :)

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

slope

[tex] = \frac{3 - 2}{3 - 0} [/tex]

[tex] = \frac{1}{3} [/tex]

Thus, the equation of the graph is y= ⅓x +2.

a) 2338 ≡ 42 • 55 + 28 ≡ 28 (mod 55)

b) We want to find a such that

23a ≡ 1 (mod 55)

Use the Euclidean algorithm:

55 = 2 • 23 + 9

23 = 2 • 9 + 4

9 = 2 • 4 + 1

⇒   1 = 9 - 2 • 4

⇒   1 = 9 - 2 • (23 - 2 • 9) = 5 • 9 - 2 • 23

⇒   1 = 5 • (55 - 2 • 23) - 2 • 23 = 5 • 55 - 12 • 23

Solve for a :

5 • 55 - 12 • 23 ≡ 1 (mod 55)

⇒   -12 • 23 ≡ 1 (mod 55)

⇒   a ≡ -12 ≡ 43 (mod 55)

Answer:

s = 3, j = 14

Step-by-step explanation:

The full perimeter is 35.

The given sides we have are 7, 2, 4, 5, and the two missing ones.  We will call the two missing ones j and s. (according to your drawing.)

-

The side with the number 7 on it is equal to the side with the number 4 and s.

Can you see that?  Even if it's not a direct side, it is under it. (if you can't see that comment below.)

-

Now since we know that we can make an equation:

7=4+s

Subtract 4 on both sides.

3=s.

We now have the length of s, which is 3.

-

Since we now know what s is, we can add them all up once more.

3+5+7+2+4=21

You said the full perimeter is 35.  This means j has to be 35-21, which is 14.

-

This drawing is not drawn to scale, I assume you are drawing this for practice.

-

Good luck on your test!

Answer:

no i cannot help you

Step-by-step explanation:

thats good

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

⟹ x = -2

Using it's concept, it is found that there is a 0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Thus, the probability of milk then white is given by:

[tex]p = \frac{5}{12} \times \frac{6}{23} = \frac{30}{12 \times 23} = 0.1087[/tex]

0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

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