What is the name of the convex polygon with 35 diagonals?

Answer:

The volume of the pyramid is approximately 25,920,000 cubic feet.

Step-by-step explanation:

The Great Pyramid of Khufu is one of the most famous pyramids in Egypt, located in Giza. Its original height was 146.7 meters (481 feet), but due to erosion and the loss of its outer casing, it now stands at a height of 138.8 meters (455 feet). The base of the pyramid is a square with sides measuring 230.4 meters (755.9 feet).

To find the volume of the pyramid, we can use the formula:

V = (1/3)Bh

where V is the volume, B is the area of the base, and h is the height of the pyramid.

First, we need to convert the dimensions of the pyramid to feet. The height of the pyramid is 455 feet, and the base of the pyramid is a square with sides of 755.9 feet.

The area of the base is:

B = side^2 = (755.9 ft)^2 = 571536.81 sq ft

The volume of the pyramid is:

V = (1/3)Bh = (1/3) × 571536.81 sq ft × 455 ft ≈ 2.592 × 10^7 cubic feet

Therefore, the dimensions of the Great Pyramid of Khufu are approximately 755.9 feet for each side of the base, and 455 feet for the height. The volume of the pyramid is approximately 25,920,000 cubic feet.

Answer:

640.75

Step-by-step explanation:

2563/4 = 640[tex]\frac{3}{4}[/tex] = 640.75

Answer:

the result of 2563/4 is 641 with a remainder of 3. We can also express this as a mixed number:

2563/4 = 640 3/4

Answer:

dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)

Step-by-step explanation:

To find dy/dx by implicit differentiation, we differentiate both sides of the equation with respect to x.

Differentiating 4x + In y=x²y^6 with respect to x, we get:

4 + (1/y) dy/dx = 2xy^6 + 6x^2y^5 dy/dx

Now, we can isolate dy/dx by moving the terms that contain it to one side of the equation, and moving the rest to the other side:

(1/y - 6x^2y^5) dy/dx = 2xy^6 - 4

Dividing both sides by (1/y - 6x^2y^5), we get:

dy/dx = (2xy^6 - 4) / (1/y - 6x^2y^5)

Simplifying this expression, we can write:

dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)

The difference between the number of actual outcomes and the number of expected outcomes is given as follows:

3 outcomes.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities are given as follows:

Hence the composite probability of the two independent events is given as follows:

1/2 x 1/4 = 1/8.

The expected number of outcomes in 40 trials is given as follows:

1/8 x 40 = 5 outcomes.

Hence the difference is of:

8 - 5 = 3 outcomes.

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A name for the marked angle in 2 different ways include the following:

∠UST

∠TSU

In Mathematics and Geometry, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.

Generally speaking, there are different characteristics of a plane and these include the following:

In this scenario, we can reasonably infer and logically deduce that a name for the marked angle is either ∠UST or ∠TSU.

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We can start by multiplying the numerators and denominators separately:

(2x - 2) / 21 * 49 / (1 - x)

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

Notice that (1 - x) = -(x - 1), so we can simplify the expression further:

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

= [(2(x - 1)) / 21] * [49 / (x - 1)]

= [2 * 7] / [3 * (x - 1)]

= 14 / (3x - 3)

Therefore, the simplified expression is 14 / (3x - 3).

The value of x when the tangent intersect is 270 degrees.

The angle theorem between intersecting tangents states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

Therefore,

90 = 1 / 2(x - (360 - x))

90 = 0.5(x - 360 + x)

90 = 0.5(2x - 360)

90 = x - 180

add 180 to both sides of the equation

90 + 180 = x - 180 + 180

x = 270 degrees

Therefore,

x = 270 degrees

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The point prevalence of hypertension among those individuals prescribed the drug is 0.58200

Point prevalence of hypertension among those individuals prescribed the drug

=17620/30276

=0.58200

Option C is correct(0.58200)

The percentage of a population that is afflicted by a specific illness or condition at a particular period is known as point prevalence.

To find out how a disease or condition affects a community, this method is used by epidemiological studies.

For instance, the point prevalence of diabetes in a group would be 5% if studies showed that at a given moment, 5 out of 100 people in that population had the ailment.

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Answer:171

Step-by-step explanation:(15+23)/2*9=19*9=171 so 171 is our answer.

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

To find the intersection points of two functions set the two functions equal to each other, simplify the equation using trigonometric identities, and then solved for the values of x that satisfied the equation. And check the values if the given function is satisfied or not.

Here we have

The functions y = cos 2x and y = 1 - sin²x  

And the interval 0 ≤ x ≤ π

To find the x-values where the graphs of the functions y = cos 2x and y = 1 - sin² x intersect over the interval 0 ≤ x ≤ π,

We need to set the two functions equal to each other and solve for x.

So, we have:

cos 2x = 1 - sin² x

Using the identity cos 2x = cos²x - sin² x, we can rewrite this as:

cos²x - sin² x = 1 - sin² x

On Simplifying, we get the:

cos² x = 1

Taking the square root of both sides, we have:

cos x = ±1

Since we're only considering the interval 0 ≤ x ≤ π,

the possible values of x are:

x = 0, π/2, π

Now, we need to check which of these values of x satisfy the original equation:

For x = 0, cos 2x = cos 0 = 1 and 1 - sin² x = 1 - sin² 0 = 1,

So they intersect at x = 0.

For x = π/2, cos 2x = cos π = -1 and 1 - sin² x = 1 - sin² (π/2) = 0,

So they don't intersect at x = π/2.

For x = π, cos 2x = cos 2π = 1 and 1 - sin² x = 1 - sin² π = 1,

So they intersect at x = π.

Therefore,

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

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Answer: -13 + -17 x -187/11

Step-by-step explanation:

The formula for the circumference of a circle :

circ = pi * d      <======you need to remember this

circ = pi * 5.52 mm = 17.34 cm

For the given problem, the correct answer is: "Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz."

In the given problem,

It is claimed by cereal manufacturer that the average weight of the cereal in its packets is 14 oz. To test this claim , we may use a hypothesis test in which the null hypothesis (H0) is that the cereal in the packets has a mean weight of 14 oz and the alternative hypothesis (H1) iwill be that it does not.

Assume we run the test and get a result that causes us to reject the null hypothesis (H0). This indicates that we discovered an evidence to support the alternative hypothesis (H1), which states that the average weight of the cereal in the packets is not 14 oz.

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The solution is :

So, you need 3 days approximately.

Here, we have,

We will use Chain Rule to solve this question.

According to Chain Rule, the work efficiency remains constant.

• WWF×TWWF×T= Constant

• Here W = Work Done, WF = Workforce, T = Time.

Let the number of days needed be 'x'.

Applying Chain Rule,

10×9×6= 15×12×(x)

Or, x=3x=3 day

So, you need 3 days approximately.

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Answer:  

Step-by-step explanation:

Add the exponents [tex]x^{2} x^{9} = x^{11}[/tex]

Answer:

D - 37 degrees

Step-by-step explanation:

Sin = opp / hyp

Cos = adj / hyp

Tan = opp / adj

Tan(x) = 29/38

~37.34 degrees

Answer:-8 and 2

Step-by-step explanation:

graph it

The graph of the system is on the image at the end, there we can see that it has no solutions.

The two linear equations are:

y = (1/2)*x - 6

y = (1/2)*x - 4

First we can see that the two lines are parallel, thus, the lines never do intercept, so that is enough to know that the system of equations has no solutions.

We can graph both of the lines in the same coordinate axis and we wil see that the lines never intercept, as you can see in the graph at the end of this answer.

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

Monthly Payment = Loan Amount × [Interest Rate / (1 - (1 + Interest Rate) ^-Term)]

Plugging in the values provided, you get:

Monthly Payment = 23,215 × [0.0499 / (1 - (1 + 0.0499) ^-60)]

Monthly Payment = $451.02

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment × Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid = (451.02 × 60) - 23,215

Total Interest Paid = $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

What is payment?

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

[tex]Monthly \: Payment \: Loan \: Amount × \: [Interest \: Rate \: / \: (1 - (1 + \: Interest \: Rate) ^{-Term})][/tex]

Plugging in the values provided, you get:

Monthly Payment [tex]23,215 [0.0499/(1 - (1+ = 0.0499) ^{-60})][/tex]

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid (451.0260) - 23,215

= Total Interest Paid $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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The bones were approximately 19,070 years old at the time they were discovered.

We can involve the recipe for remarkable rot to take care of this issue, which relates the underlying measure of a substance to the sum staying after a specific time has passed:

[tex]N = N_{0} * e^{-kt}[/tex]

where N is the amount remaining after time t, N₀ is the initial amount, k is the decay constant, and e is the mathematical constant approximately equal to 2.71828.

We are aware that carbon-14 has a half-life of 5750 years, which indicates that half of the initial amount will have decomposed within 5750 years. As a result, the following equation can be used to determine the decay constant:

log(2)/t(1/2) = k

where ln(2) is the natural logarithm of 2, and t(1/2) is the half-life of carbon-14 in years.

Substituting the given values, we have:

log(2)/5750 = k

k = -0.000120968

Now we can use the fact that the bones have lost 82.5% of their carbon-14 to find how much time has elapsed since they were alive. Let N₀ be the initial amount of carbon-14, and let N be the amount remaining, which is 17.5% of N₀:

N = 0.175*N₀

We can use the formula for exponential decay to relate N to N₀:

[tex]N = N_{0} *[/tex] [tex]e^{-kt}[/tex]

Substituting the given values, we have:

[tex]0.175*N_{0} = N_{0}[/tex] * [tex]e^{-0.000120968t}[/tex]

Dividing both sides by N₀, we get:

[tex]0.175 = e^{-0.000120968t}[/tex]

Taking the natural logarithm of both sides, we get:

log(0.175) = -0.000120968t

Solving for t, we have:

t = log(0.175)/(-0.000120968) = 19,070.27 years

Therefore, the bones were approximately 19,070 years old at the time they were discovered.

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The perimeter of the regular polygon is approximately 61.2 m

The area of the regular polygon is approximately 282.8 m²

From the question, we are to determine the perimeter and area of the given polygon.

The given polygon is an octagon.

Consider the right triangle drawn in the octagon. The length of a side of the regular octagon is twice the length of the base of the right triangle.

Let the base of the right triangle be b.

In the triangle, the measure of the angle close to the center of the octagon is 22.5° (That is, (360° / 2) ÷ 2).

From SOH CAH TOA,

We can write that

sin (22.5°) = b/10

b = 10 × sin (22.5)

Length of a side of the octagon = 2 × 10 × sin (22.5)

Thus,

Perimeter of the octagon = 8 × 2 × 10 × sin (22.5)

Perimeter of the octagon = 61.2293

Perimeter of the octagon ≈ 61.2 m

Area of the octagon,

Area of a regular octagon = (Perimeter × Apothem) / 2

|Apothem|² = 10² - (10 × sin (22.5))²

|Apothem|² = 100 - 14.64466

|Apothem|² = 85.35534

|Apothem| = √85.35534

|Apothem| = 9.2388

Thus,

Area of the octagon = (61.2293 × 9.2388) / 2

Area of the octagon = (565.68525684) / 2

Area of the octagon = 282.8426

Area of the octagon ≈ 282.8 m²

Hence,

The area is 282.8 m²

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Answer:

The answer is 8 6/11

Answer:

  B.  7

Step-by-step explanation:

You want the value of b from the choices {5, 7, 8, 10} that will satisfy both inequalities ...

You are asked to find the answer by substitution. This means you put the offered value of 'b' into the inequality where 'b' is, then simplify and see if you have a true relation.

In the first inequality, this is ...

  2·5 -8 > 5

  10 -8 > 5

  2 > f . . . . . . . false — not a solution

In the first inequality, this is ...

  2·7 -8 > 5

  14 -8 > 5

  6 > 5 . . . . . . True

In the second inequality, we have ...

  3·7 -13 < 9

  21 -13 < 9

  8 < 9 . . . . . . True — this is the solution you want

The choice b = 7 satisfies both inequalities.

__

Additional comment

We generally find it easier to compare to zero, rather than some constant. In the attached, we evaluated the left-side expressions ...

The first inequality is true for b = {7, 8, 10}. The second inequality is true for b = {5, 7}. The only value of b that satisfies both inequalities is b=7.

You will notice we also find it easier to try all the choices at once, rather than retype the calculator input for each one.

Answer:

3. 2(π)(4)

Step-by-step explanation:

The expression for the circumference of a circle is 2πR.

The R stands for the radius which is 4.

Hope this helps...

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The answer is 44 houses, none of the given options match the number of three-story houses.

To find the number of three-story houses in the neighborhood, we need to subtract the number of one-story and two-story houses from the total number of houses:

50 - 5 - 1 = 44

So there are 44 three-story houses.

Therefore, the answer is 44 houses. None of the given options match the number of three-story houses.

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The statement that correctly compares the centers of the distributions is this: D. The mean of East Hills HS is greater than the mean of Southview HS.

The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:

East Hills HS

25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4

= 875

Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25

Mean = 875/25

35

Southview

25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2

= 725

Frequency = 2 + 6 + 9 + 6 + 2 =25

Mean = 29

So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.

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The correct option is hydrofluoric acid used to make anti-depressant medications would be considered an industrial good as it is used in the production.

And industrial good is something that is used to produce something, here the only option that directly says that is used in a production is the first one.

The other 3 options would be called consumer goods, as these are directed thowards consumers, not industries.

Then the correct option is the first one, "hydrofluoric acid used to make anti-depressant medications"

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