What is the surface area of the pyramid?

Answer:

250

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180 r=0.026 t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

The radius of the sphere is 9 centimeters.

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

So,

surface area of the sphere = 4πr²

324π cm² = 4πr²

Simplifying,

r² = 324π/4π

r² = 324/4

r² = 81

r = 9

Therefore, the radius is 9 centimeters.

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Answer:

∠x = 60°

Step-by-step explanation:

first:

∠a = 60° was given

the sides on each side of ∠a are equal so their opposite angles are equal also.

The sum of the interior angles of any triangle is 180°

The angles opposite ∠a are (180° - 60°)/2 = 60° each

Second:

∠b = 60° was given

so the angles opposite ∠b are also 60° each

Third:

the 2 angles opposite x are both 60° each because they are both vertical angles to 60°

That leaves ∠x  to be 180° - 60° - 60° = 60°

The volume of the can based on mentioned radius and height of can is 471 inches³.

Volume of cylinder is defined the capacity or amount of fluid that can be held in the object. The mentioned object is can which is cylindrical in shape.

Use the below mentioned formula to calculate the volume -

V = πr²h, where V is volume, r is radius and h is height.

Keep the values in formula to find the value of volume of cylinder

V = 3.14×5²×6

Next step is to perform multiplication on Right Hand Side of the equation

V = 471 inches³

The obtained volume is already rounded off. Thus, the volume of the can is 471 inches³.

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A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.

A probability distribution links each outcome of a random variable or process with its probability of occurrence.

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.

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The ratios are not equivalent.

Therefore , the solution of the given problem of probability comes out to be  P =0.286(approx).

Probability is the likelihood or potential for something to event.  For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.

Here,

Given : S = {9,10,11,12,13,14,15}

If A is a subset of S, A could be {14,15}.

If a subset A represents the complement of spinning a number greater than 13, its sample space is A = {14,15}.

Thus,

To find the probability that it will land on number greater than 13

P = likelihood of event / total no of events

=> P = 2/7

=> P = 0.2857

=> P =0.286(approx)

Therefore , the solution of the given problem of probability comes out to be  P =0.286(approx).

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Answer: (2x+6y)^2 = (2x+6y)(2x+6y) = 4x^2 +12xy + 12yx + 36y^2 = 4x^2 + 24xy + 36y^2

So the result of (2x+6y)^2 is 4x^2 + 24xy + 36y^2

Answer:

LCD = 24xyz

Step-by-step explanation:

Answer:

24

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

$400

Step-by-step explanation:

If $16 will be spent, then you should do 320/16=20 to find out how many times people are donating. Since that answer what 20, they need people to give 20*20=400 oo be able to raise enough money fOr playground equipment

The admission fee for the zoo and for the state park is given as follows:

For the zoo, the costs are divided as follows:

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

The table is given by the image presented at the end of the answer.

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Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.

There are few basic steps to be followed while solving any mathematics problem:

1. Read and understand the problem.

2. Identify what is given and what is needed to solve the problem.

3. Choose an appropriate strategy to solve the problem.

4. Carry out the strategy.

5. Check your answer to make sure it is correct.

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Answer:

This is super simple! No need to worry.

Step-by-step explanation:

Just add the two results from the aquarium and amusement park for both the teacher and the students!

Soooo it'd look something like this lol

8 + 32 = 40 students were polled

5 + 5 = 10 teachers were polled

Answer:

Step-by-step explanation:

Converting 0.632 to a fraction, Step-by-Step

Step 1:

The first step to converting 0.632 to a fraction is to re-write 0.632 in the form p/q where p and q are both positive integers. To start with, 0.632 can be written as simply 0.632/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.632, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.632/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.632/1 each by 1000:

\frac{0.632 × 1000}{1 × 1000} = \frac{632}{1000}

1×1000

0.632×1000

​

=

1000

632

​

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

\frac{632}{1000} = \frac{79}{125}

1000

632

​

=

125

79

​

Answer:

A: x<7/12

Step-by-step explanation:

I hate math too :)

The sign wouldn't be flipped cause you don't have to divide, and 5/6 - 1/4 is 7/12. Hope this helps

Answer:

c = √52

Step-by-step explanation:

applying pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' the hypotenuse.

Substitute values:

6² + 4² = c²

c² = 36 + 16

c² = 52

c = √52

Answer:

Hmmmm. Mr. McGill seems a little lost.

At first, I thought he might have divided both sides by 21 (to get 2x on the left), but look what happens on the right side of the equation!

[tex]42x=163\\\\2x=54\,\, 1/3[/tex]  (not 3, for sure)

I think Mr. McGill needs to take the class you're in!

Answer:

c = 110-degrees

b = 70-degrees

Step-by-step explanation:

for c:

linear pair which means it equals 180-degrees

70 + c = 180 *subtract 70 from both sides*

c = 110

for b:

vertical angles are equal

b = 70-degrees

Answer:

30 i think

Step-by-step explanation:

9514 1404 393

Answer:

  x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

Answer:

400= 2 x 2 x 2 x 2 x 5 x 5 = 2/4 x 5/2

Answer:

12 ft^2

Step-by-step explanation:

If you split up the 4 triangles you would have 8 right triangles

To solve for 1 right triangle you use the formula : 1/2 • l • h

1/2 • 1 • 2 = 1

Since there’s 8 right triangles you do:

8 • 1 = 8

Now the inner shape (a square):

2 • 2 = 4

Add up the areas:

8 + 4 = 12

The correct option for the given linear equation is option (B).

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The given equation is y =20x + 35

       y = total amount of money

       x = number of months the customer has been renting the storage unit

A) If x = 355

        y = 20 * 355 + 35 = $7135

    This is not the correct option.

B) If x = 16

      y = 20*16 + 35 = $355

     This is the correct option.

C) if x = 320

      y = 20 * 320 + 35 = $6435

      This is not the correct option.

D) If x = 16

       y = 20*16 + 35 = $355

      This is not the correct option.

Therefore the correct option for the given linear equation is option (B).

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Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

On solving the provided question, we can say that - by the prime factors we have x^2 + 1 +2x = X= -1, -1

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

here we have the equation,

[tex]x^2 + 1 + 2x\\[/tex]

(x+1)(x+1)

x = -1, -1

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Answer:

B

Step-by-step explanation:

We have to look at the full dot

An expression to represent the sum of their ages is as follows.

g = 14 + L

If the ratio of the ages of X and Y is p:q and their sum is X, then the following formula can be used to calculate Y's age: Age of Y = Y/Total Ages x Total Ratios. Age of Y = (p+q) q x A.

Assume that L is Louannel's sister's age, m is Mark's age, and g is Gregory's age.

Gregory's age difference with his cousin Mark, who is 20 years older (m).

∴ g = 20 + m            .............(1)

Also given that Mark is 6 years younger than his sister Louanne(L)

∴ m = L - 6                ............(2)

Now, substituting m = L - 6 from (2) in (1),

∴ g = 20 + L - 6

∴ g = 14 + L

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Answer: Based on the survey results, we can calculate the number of ice cream cones to sell for each flavor by multiplying the percentage of the flavor by the total number of ice cream cones to be sold.

Mint: 10% of 300 ice cream cones = 0.1 * 300 = 30 ice cream cones

Strawberry: 25% of 300 ice cream cones = 0.25 * 300 = 75 ice cream cones

Chocolate chip: 15% of 300 ice cream cones = 0.15 * 300 = 45 ice cream cones

Vanilla: 50% of 300 ice cream cones = 0.5 * 300 = 150 ice cream cones

So, based on the survey results, you should sell 30 ice cream cones of Mint flavor, 75 ice cream cones of Strawberry flavor, 45 ice cream cones of Chocolate chip flavor, and 150 ice cream cones of Vanilla flavor.

It's worth mentioning that the sum of the percentages provided, 10+25+15+50 = 100%. Which means that it is a proper survey and the total number of ice cream cones you expect to sell is equal to the survey results.

Step-by-step explanation:

Based on the survey results flavors sold at the sporting event are, 30 mint ice creams, 75 Strawberry icecreams, 45 Chocolate chip icecreams, and 150 Vanilla icecreams.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The number of different types of ice creams can be obtained as follows,

10% - Mint.

= (10/100)×300.

= 30.

25% - Strawberry.

= (25/100)×300.

= 75.

15% - Chocolate chip.

= (15/100)×300.

= 45.

50% - Vanilla.

= (50/100)×300.

= 150.

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