What is the volume of the cone below?

A. 112 units3
B. 5671 units 3
C. 16811 units 3
D. 3367 units3

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

The area of a circle can be found using:

[tex]a=\pi r^{2}[/tex]

We have the circumference, but we need the radius. Circumference can be found using:

[tex]c=2\pi r[/tex]

We know the circumference is 16[tex]\pi[/tex], so we can substitute that in for c

16[tex]\pi[/tex] =2[tex]\pi[/tex] r

We need to solve for r, or the radius. To do this, divide both sides by 2[tex]\pi[/tex]. This will get r by itself.

16[tex]\pi[/tex] /2[tex]\pi[/tex] =2[tex]\pi[/tex] r/2[tex]\pi[/tex]  

8=r

Now we know the radius, and can substitute it into the area formula

[tex]a=\pi r^2[/tex]

Substitute 8 in for r

[tex]a=\pi 8^2[/tex]

[tex]a=64\pi[/tex]

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is [tex]64\pi[/tex]

Answer:

The solved problem is in the photo. Hope it helps.

The value of a, b, and c is 25, -20, and 4 respectively. Then the value of the expression will be 41.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

If (5x - 2)² = ax² - bx + c.

Then the value of the expression will be a + c²

Open the bracket, then we have

(5x - 2)² = 25x² - 20x + 4

Then the value of the a, b, and c will be

a = 25, b = -20, c = 4

Then the value of the expression a + c² will be

→ 25 +4²

→ 41

More about the Algebra link is given below.

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Answer:

3/7

Step-by-step explanation:

The net change of Franklin's account is 10.

Subtraction is a fundamental arithmetic operation that involves finding the difference between two numbers. It is denoted by the minus sign (-). To subtract one number from another, align the digits according to place value and subtract each column, starting from the rightmost column

To find the net change of Franklin's account, we need to evaluate the expression |35| - |-25|.

The absolute value of 35 is 35, and the absolute value of -25 is 25.

Subtracting these values, we have 35 - 25 = 10.

Therefore, the net change of Franklin's account is 10.

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Hope this will help u....

Answer:

0

Step-by-step explanation:

2x+4

x= -4/2

x= -2

2(-2)+4

-4+4

= 0

Answer:

25 and 30

Step-by-step explanation:

because one angle measures 280 and the other 25 you add it.

280 + 25 = 305

Since there is 360 degrees in a quadrilateral you subtract

360 - 305 = 55

the other 2 measures are in the ratio of 5:6

So add those to ratios 5 + 6 = 11

55/11 = 5

multiply it by the ratio

5 * 5 = 25

5 * 6 = 30

Answer:

7

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

[tex]-2x+6x-8=12\\4x-8=12\\4x=20\\x=\frac{20}{4}\\ x=5[/tex]

Answer:

8 = 104 - 3x

Step-by-step explanation:

Answer:

A U C = {2,3,5,6,7,9,11}

Step-by-step explanation:

A = {2,3,5,6,7,9,11}

C = {3,5,6,7}

The union of two sets is a set that has every element that belongs to one or the other set.

A U C = {2,3,5,6,7,9,11}

Answer:

A. -8, infinity

Step-by-step explanation:

2020 edg

Using quadratic function concepts, it is found that the function is decreasing over the interval (-8, infinity).

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient, determining the behavior of the function as follows.

In this problem, the equation is given by:

[tex]f(x) = -(x + 8)^2 - 1[/tex]

Hence the coefficients are a = -1 < 0, h = -8, k = 1, meaning that the function is decreasing over the interval (-8, infinity).

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

x = -1, x = 3  (B)

Step-by-step explanation:

25ˣ=5ˣ²⁻³

Can be simplified to:

5²ˣ=5ˣ²⁻³

2x=x²-3

x²-2x-3=0

(x-3)(x+1)

x = -1, x = 3

Plz mark my answer as brainiest

Answer:

B  x=-1   x=3

Step-by-step explanation:

25^x = 5 ^ (x^2 -3)

Replace 25 by 5^2

5^2^x = 5 ^ (x^2 -3)

We know that a^b^c = =a^(b*c)

5^(2x) = 5 ^ (x^2 -3)

The bases are the same so the exponents must be the same

2x = x^2 -3

Subtract 2x from each side

2x-2x = x^2 -3 -2x

0 = x^2 -2x-3

Factor

0 =(x-3) (x+1)

Using the zero product property

x-3 =0       x+1 =0

x=3             x=-1

The probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black is approximately -18.6167.

To find P(NOT B | A), we want to calculate the probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black.

First, let's find the probabilities of events A and B:

Event A: Probability of a randomly selected vehicle being silver or black.

Event B: Probability of a randomly selected vehicle being a car or a truck.

From the table, we can find the probabilities of A and B:

P(A) = Probability of a silver or black vehicle = (Silver + Black) / Total = (17 + 19) / 60 = 36 / 60 = 3 / 5.

P(B) = Probability of a car or a truck = (Car + Truck) / Total = (819 + 358) / 60 = 1177 / 60.

Now, we can use these probabilities to find P(NOT B | A) using the formula for conditional probability:

P(NOT B | A) = P(A AND NOT B) / P(A)

To find P(A AND NOT B), we need to find the probability of a vehicle being silver or black (A) AND not being a car or a truck (NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Now, we already have P(A) and P(B), so we can calculate P(A AND B):

P(A AND B) = P(A) * P(B) = (3/5) * (1177/60)

Now, subtract P(A AND B) from P(A) to get P(A AND NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Finally, we can calculate P(NOT B | A):

P(NOT B | A) = P(A AND NOT B) / P(A)

Plug in the values:

P(NOT B | A) = (P(A) - P(A AND B)) / P(A)

Calculate the values:

P(NOT B | A) = ((3/5) - ((3/5) * (1177/60))) / (3/5)

Simplify the expression:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

Now, perform the calculations:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

P(NOT B | A) = (3/5) * (1 - 19.6167) / (3/5)

P(NOT B | A) ≈ (3/5) * (-18.6167) / (3/5)

P(NOT B | A) ≈ -18.6167

for such more question on probability

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The area of the rhombus is a rational number, specifically 5/12, which can be expressed as a fraction. Therefore, we can conclude that when d1 is a terminating decimal and d2 is a repeating decimal, the area of the rhombus can be expressed as a rational number.

When d1 is a terminating decimal and d2 is a repeating decimal, we can conclude that the area of the rhombus can be expressed as a rational number.

To see why, consider the formula for the area of a rhombus: A = (1/2)d1d2. If d1 is a terminating decimal, it can be expressed as a finite fraction.

For example, if d1 = 1.25, then d1 can be expressed as 5/4. If d2 is a repeating decimal, it can be expressed as an infinite series of the form:

d2 = a + b/10 + c/100 + ...

where a, b, c, etc. are digits. We can express this as a fraction by multiplying both sides by a power of 10 which eliminates the repeating decimal. For example, if d2 = 0.666..., we can multiply both sides by 100 to get:

100d2 = 66.666...

Subtracting d2 from both sides, we get:

99d2 = 66

So, d2 = 66/99, which can be simplified to 2/3.

Substituting these values into the formula for the area of the rhombus, we get:

[tex]A = (1/2)(5/4)(2/3)\\= 5/12[/tex]

So, the area of the rhombus is a rational number, specifically 5/12, which can be expressed as a fraction. Therefore, we can conclude that when d1 is a terminating decimal and d2 is a repeating decimal, the area of the rhombus can be expressed as a rational number.

Learn more about rational numbers here:

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The volume of a sphere with a radius of 5 inches is 523.6 cubic inches.

To find the volume of a sphere, you can use the formula V = (4/3)πr³, where V represents the volume and r represents the radius.

In this case, the radius is given as 5 inches. So we substitute 5 into the formula:

V = (4/3)π(5)³

Simplifying the expression:

V = (4/3)π(125)

Finally, we calculate the volume:

V = 523.6 cubic inches

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Answer:

A

Step-by-step explanation:

Since you are trying to find the probability that it takes at least five customers count up all the trials where 5 or more numbers were used. Put that number over the total number of trials (15). The correct answer is  4/15

The probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is approximately [tex]53.33\%[/tex]

The correct probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is the number of trials where it took at least [tex]5[/tex] customers to find a chocolate ice cream buyer divided by the total number of trials.

Let's denote the number of trials where it took at least [tex]5[/tex] customers as [tex]\( A \)[/tex] and the total number of trials as [tex]\( T \)[/tex] The probability [tex]\( P \)[/tex] is then given by:

[tex]\[ P = \frac{A}{T} \][/tex]

From the given data, we have:

[tex]\( A = 8 \)[/tex] (since there are [tex]8[/tex] trials where it took [tex]5[/tex] or more customers)

[tex]\( T = 15 \)[/tex] (since there are [tex]15[/tex] trials in total)

Now, we can calculate the probability:

[tex]\[ P = \frac{8}{15} \][/tex]

This is the probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream.

To express this probability as a percentage, we multiply by [tex]100[/tex]

[tex]\[ P(\%) = \frac{8}{15} \times 100 = \frac{800}{15} = 53.33\% \][/tex]

Answer:

This is the completed table:[tex]\left[\begin{array}{ccccccccccc}trapezoids&1&2&3&4&5&6&10&18&n\\perimeter&10&16&22&28&34&40&64&112&6n+4\end{array}\right][/tex]

for the words and graph please see below and the attached image.

Step-by-step explanation:

Notice that every time you add a trapezoid in the given fashion (attached to the right of the previous figure) yo are adding a net of 6 units (2+4) to the total perimeter (which started in the first figure as 2+2+2+4 = 10).

We can then write the following values to complete the given table:

1 trapezoid , gives perimeter = 1*4 + 3*2 = 10

2 trapezoids, give perimeter = 2*4 + 4*2 = 16

3 trapezoids, give perimeter = 3*4 + 5*2 = 22

4 trapezoids, give perimeter = 4*4 + 6*2 = 28

5 trapezoids, give perimeter = 5*4 + 7*2 = 34

6 trapezoids, give perimeter = 6*4 + 8*2 = 40

10 trapezoids, give perimeter = 10*4 + 12*2 = 64

n trapezoids, give perimeter = n*4 + (n+2)*2 = 4n + 2n + 4 = 6n + 4

Now, given this general relationship for "n" trapezoids, one can find the number of trapezoids that render a perimeter = 112, as required in the table:

6n + 4 = 112

then 6n = 112 - 4 = 108

then n= 108/6 = 18

so 18 trapezoids give a perimeter of 112 (to complete that missing value in the table).

Now, we can plot a general function of similar form of that we got for a collection of n trapezoids but using "x" instead of "n" and having clear in our mind that the values we want to use are only positive integers greater than zero to represent the number of trapezoids:

f(x) = 6x +4

See attached image were the actual valid points are marked as blue dots.

Answer:

The point is (-2, -3)

Step-by-step explanation:

Given function:

[tex]f(x)= (x+2)^2-3[/tex]

For: [tex]f(x)=y[/tex] and [tex]x=-2[/tex]

[tex]f(-2)= (-2+2)^2-3\\f(-2)= (0)^2-3\\f(-2)= -3\\[/tex]

∴[tex]y=-3; x=-2[/tex]

Answer:

*4

Step-by-step explanation:

Answer:

4

6x9=54=(6*5)+(6*4)

Step-by-step explanation:

6x9=54=(6*5)+(6*4)

6x9=54

54 is the number you are trying to get

6*5= 30

so now you need something to add up to 54

6*4=24

24+30=54

We can see here that the area of the sidewalk surrounding the circular garden is approximately 216.66 ft².

To find the area of the sidewalk surrounding the circular garden, we need to calculate the difference between the area of the larger circle and the area of the smaller circle.

The radius of the circular garden is given as 10 ft. The radius of the garden plus the sidewalk is equal to the sum of the radius of the garden and the width of the sidewalk. Since the width of the sidewalk is 3 ft, the radius of the larger circle (including the sidewalk) is 10 + 3 = 13 ft.

Now, let's calculate the area of the larger circle using the formula A = πr², where A represents the area and r represents the radius. Substituting the values, we have A = 3.14 × (13)² = 3.14 × 169 = 530.66 sq ft.

Next, we calculate the area of the smaller circle (just the garden) using the same formula. A = 3.14 × (10)² = 3.14 × 100 = 314 sq ft.

Finally, we subtract the area of the smaller circle from the area of the larger circle to find the area of the sidewalk. 530.66 - 314 = 216.66 sq ft.

Therefore, the area of the sidewalk surrounding the circular garden is approximately 216.66 square feet.

The complete question is:

A sidewalk that is 3 ft wide surrounds a circular garden with a radius of 10 ft. What is the area of the side walk? use pi=3.14

Answer:the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did it!

Answer:

The real answer is 1286

Step-by-step explanation:

81x16=1296

(16 is the common difference)

1296-10=1286

Answer:

$80

Step-by-step explanation:

25% is 1/4 of a whole with 75% of the cost left over, so $60 is 1/3 of the price. divide 60 by 3=$20, $20 discounted, original price $80

Answer: 24

Step-by-step explanation:

Lowest common multiple means the lowest number that can be divisible by 8,12,3

Looking at this, let's pick 8&3 first

8×3=24

12×3=36

12×8=96

Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

Step-by-step explanation:

4, 9, 16, 25, 36,49

there are 6 perfect squares from 4 to 50

Answer:

Perfect squares from 4 to 50 are 4, 9, 16, 25, 36, and 49 .

So there are 6 perfect squares.

Step-by-step explanation:

2 * 2  =  4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

Answer:

A≈49.86

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B because an admission is a constant.

Answer:

C=1.50x+12

Step-by-step explanation:

1 ride with admission is $13.50

2 rides with admission is $15.00

3 rides with admission is $16.50

4 rides with admission is $18.00

It's $1.50(x) difference between each total cost(c) letting us know that is the cost for 1 ticket meaning it cost $12.00 for admission.

Answer:

0.9 ≈ 90%

Step-by-step explanation:

60% = 60/100

150% of 60% = 150/100 * 60/100

= 9000/10000

= 0.9 ≈ 90%