What is the volume of the cone?

A 4,625.36 yd
B. 2,876.7 yd
C. 4,258.44 yd
D. 2,787.64 yd​

Answer:

D but see below.

Step-by-step explanation:

It can be factored if you are allowed to use square roots.

(p + 5√5)(p - 5√5)

Usually, you are not allowed to do that. Usually you must be working with whole numbers or rational well behaved fractions.

I think, given the above comment, the answer is D

Answer:

Instructions are below.

Step-by-step explanation:

To calculate the final amount if a given substance, we need to use the following formula:

final amount= initial amount / (2^n)

n= elapsed time / half-life

For 20 years:

n= 20/10= 2

Final amount= 200/(2^2)

Final amount= 50 grams

For 60 years:

n= 60/10= 6

Final amount= 200/ (2^6)

Final amount= 3.125 grams

To calculate the elapsed time it is more complicated:

elapsed time= ln(ending amount/beginning amount) / (-decay constant)

ln= natural logarithm

decay constant= ln(2) / half-life

decay constant= 0.0693

elapsed time= ln(1.03/200) / (-0.0693)

elapsed time= 76.028

Prove:

n= 76.02/10= 7.602

Final amount= 200/(2^7.602)= 1.03 grams

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]

Answer:

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

3204 divided by 36 = 89

36 x 89 = 3204

Answer: 1 1/4feet

Step-by-step explanation:

From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.

The depth of the water after 5 hours will be:

= 5 - 3/4(5)

= 5 - 15/4

= 5 - 3 3/4

= 1 1/4 feet

Answer:

G. [tex] \frac{3.2}{2} = \frac{a}{8} [/tex]

Step-by-step explanation:

Given that figure I and figure II are similar, it follows that the ratio of their corresponding side lengths are equal and the same.

Thus:

[tex] \frac{3.2}{2} = \frac{a}{8} = \frac{8}{5} = \frac{6.4}{b} [/tex]

Therefore, the proportion that must be true is:

✔️[tex] \frac{3.2}{2} = \frac{a}{8} [/tex]

Answer:

Need a picture of the problem.

Step-by-step explanation:

9514 1404 393

Answer:

  78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

  d = 88

  0.0015r^2 +r = 88

  0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

  r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

  r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

Answer:

c

Step-by-step explanation:

bc its c and yea its c ok u get it.

Answer:

I feel like its A because the line deflects at (4,0) I could be wrong

Step-by-step explanation:

Answer:

The probability that the sum of the two numbers on the dice will be greater than 9 is 16.7%.

Step-by-step explanation:

To find the probability of the two fair six-sided dice getting a sum of 9 when thrown, we have to first find all the possibilities and those that are greater than 9.

The total number of possibilities for the outcome of the two dice would be (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1) and so on. Due to every possibility from the first dice branching out into six possibilities for the second dice, we can find the total number of possibilities to be 6 * 6 = 36 possibilities.

Now to find the total number of possibilities with a sum greater than 9. Due to the question asking for a sum of over 9, the possibilities will not include those with a sum of 9 itself. Hence, the only possibilities are when the first dice rolls 4 or more, since 3 + 6 (the maximum that the second dice can roll) is exactly 9.

Listing out all the possibilities, there are: (4, 6), (5, 5), (5, 6), (6, 4), (6, 5) and (6, 6). A total of 6 possibilities will get you a sum of 9 or above.

Finally, to find the percentage, we divide the number of possibilities with their sum over 9 by the total number of possibilities:

[tex]\frac{6}{36} \cdot 100\%[/tex]

[tex]= \frac{1}{6} \cdot 100\%[/tex]

[tex]= 16.7\%[/tex]

Hence, the probability that the sum of the two numbers on the dice will be greater than 9 is 16.7%.

Hope this helped!

The probability that the sum of the two numbers on the dice will be greater than is 1/6

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, two dies are rolled we need to find the probability that the sum of the two numbers on the dice will be greater than 9,

The total outcomes = 36

{[1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4],[2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6].}

Listing out all the possibilities, there are: {(4, 6), (5, 5), (5, 6), (6, 4), (6, 5) and (6, 6)} = 6

Therefore, the probability that the sum of the two numbers on the dice will be greater than 9 = 6/36 = 1/6

Hence, the probability that the sum of the two numbers on the dice will be greater than is 1/6

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ2

Answer:

$8.75

Step-by-step explanation:

It is given that,

Roger sells 23 necklaces at a fair a total of $ 201.25.

We need to find the price of 1 necklace. We can use unitary method to find it.

23 necklaces = $201.25.

For cost of 1 necklace, divide $201.25 by 23 as follows :

[tex]x=\dfrac{201.25}{23}\\\\=\$ 8.75[/tex]

So, the cost of 1 necklace is $8.75.

Answer:

y=-2x

i think this is what your asking for if im wrong im sorry

Step-by-step explanation:

Answer:

y=-2x

the answer is y=-2x

2.5% divide them lol msdibnasdu9brtu4ti8jrentnierbyyu0reyrpeinyrt

Answer:

True

Step-by-step explanation:

Answer:

25.694

Step-by-step explanation:

Answer: A Boston

Step-by-step explanation: i guessed and got it right

Answer:

A non negative ration number is a point between a whole number a a decimal fraction (i.e. 1.25) fractions. any part of a group number or whole. numerator. number above the line of a fraction, showing number of parts of the whole.

Step-by-step explanation:

Answer:

I´m good

Step-by-step explanation:

Answer:

I love myself

and you

Answer:

12-12

Step-by-step explanation:

hope this helps tell me if it's right

Answer:

12 - 12

Step-by-step explanation:

If the temperature was originally 12°C it decreases by 12° then 12 - 12.

From 12:00 midnight to 6:00 am, the  temperature decreased by 12°C. If the original temperature was 12°C.

Question: Which expression can be used to represent this situation?

12:00 midnight temperature = 12 °C.

6:00 am temperature decreased  by 12 °C.

So 12 - 12.

Hope this helps (sorry if I'm wrong)

Answer:

5%

Step-by-step explanation:

1500 * X = 75

X = 75/1500

X = .05 or 5%

Answer:

GCF = 49y³

Step-by-step explanation:

We need to find the GCF of 98y⁴ and 147y³.

Prime factorization of 98y⁴ = 7×7×2×y⁴

Prime factorization of 147y³ = 7×7×3×y³

Common factors are = 7×7y³

= 49y³

Hence, GCF is 49y³

Answer:

{x,y}={  5/9,0}

Step-by-step explanation:

9x - 2y = 5

y = 0

9x - 2•() = 5

9x = 5

x = 5/9

By now we know this much :

   x = 5/9

   y = 0

⇒{x,y} = {5/9,0}

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]9x + 2y = 5[/tex]

solving the equation for y

[tex]9x + 2y = 5[/tex]

Step 1: Add -9x to both sides

[tex]9x+2y+-9x=5+-9x[/tex]

[tex]2y=-9x+5[/tex]

Step 2: Divide both sides by 2

[tex]\frac{2y}{2}=\:\frac{-9x+5}{2}[/tex]

[tex]y=\frac{-9}{2}x+\frac{5}{2}[/tex]

Thus, the value of y is:

[tex]y=\frac{-9}{2}x+\frac{5}{2}[/tex]

If we put y = 0 in the [tex]9x + 2y = 5[/tex]

[tex]9x+\left(0\right)=5[/tex]

[tex]9x=5[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9x}{9}=\frac{5}{9}[/tex]

[tex]x=\frac{5}{9}[/tex]

Thus, the value of x=5/9 at y=0

Answer:

its d

Step-by-step explanation:

i just did it

Answer:

from left to right, including the triangle placed in the rectangle section already; quadrilateral, polygon, quadrilateral, polygon, quadrilateral, rectangle

Answer: 41 (i'm not really sure. but i was trying to help so please don't be mad

Step-by-step explanation:

8 * 4 = 32                           3 * 3 = 9 and 5 * 2 = 10

2 * 2 = 4                                         9 - 10 = -1                

32 + 4 = 36                                   -1 + 7 = 6 + 1 = 7

36 - 2 = 34

                                       34 + 7 = 41

Answer:

Your answer is 15.304

Step-by-step explanation: