The radius of a circle is increasing at a constant rate of 7 centimeters per minute. At the instant when the radius of the circle is 88 centimeters, what is the rate of change of the area? Round your answer to three decimal places.



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If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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Answer:

55 degrees

Step-by-step explanation:

well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.

hope that helps!

Answer:

2(3/8) + 4/8 + 5/8 + 7/8

= 6/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8

B is correct.

When each ticket costs $2, and the prize for the winner is $50 then the cheerleading squad needs to sell at least 88 tickets to raise $175.

The cheerleading squad wants to raise $175 through their raffle ticket sales.

Each ticket costs $2, and the prize for the winner is $50. We need to determine how many tickets the team needs to sell to reach their fundraising goal.

Let's assume the number of tickets the team needs to sell is 'x'.

Since each ticket costs $2, the total revenue generated from ticket sales can be calculated as 2 * x.

To reach their fundraising goal of $175, the total revenue from ticket sales should be equal to $175.

Therefore, we can set up the equation:

2 * x = 175

Solving for 'x', we divide both sides of the equation by 2:

x = 175 / 2

Simplifying further, we get:

x = 87.5

Since we cannot sell a fractional number of tickets, we round up the value to the nearest whole number.

Therefore, the cheerleading squad needs to sell at least 88 tickets to raise $175.

It's worth noting that selling exactly 87 tickets would only generate $174 in revenue, which is less than the fundraising goal.

Hence, they need to sell a minimum of 88 tickets to reach or exceed their target of $175.

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Answer:

60 +70+8x+2 = 180 by aum of the angles of triangle is 180 degree

Answer:

gago isipin mo, wag puro brainly hahaha

The slope of the secant line PQ can be found by calculating the difference in y-coordinates divided by the difference in x-coordinates between the points P and Q. In this case, when x = 16.1, the slope of PQ can be determined.

To find the slope of the secant line PQ, we need to calculate the difference in y-coordinates and the difference in x-coordinates between the points P(16, 9) and Q(x, √(x) + 5). The slope of a line is given by the formula: slope = (change in y) / (change in x).

Given that P(16, 9) lies on the curve y = √(x) + 5, we can substitute x = 16 into the equation to find the y-coordinate of point P. We get y = √(16) + 5 = 9.

Now, for Q(x, √(x) + 5), we have x = 16.1. Substituting this value into the equation, we find y = √(16.1) + 5.

To find the slope of PQ, we calculate the difference in y-coordinates: (√(16.1) + 5) - 9, and the difference in x-coordinates: 16.1 - 16. Then, we divide the difference in y-coordinates by the difference in x-coordinates to obtain the slope of PQ when x = 16.1.

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There were 204 participants from the three schools

The given parameters are:

X = 12 + Y

X = Z - 18

Girls = Boys + 50

The ratios of the number of boys to girls in the schools are:

1 : 2

1 : 5

2 : 1

This means that:

So, we have:

Boys = 1/3X + 1/6Y + 2/3Z

Girls = 2/3X + 5/6Y + 1/3Z

Substitute the above equations in Girls = Boys + 50

2/3X + 5/6Y + 1/3Z = 1/3X + 1/6Y + 2/3Z + 50

Evaluate the like terms

1/3X + 2/3Y - 1/3Z = 50

Multiply through by 3

X + 2Y - Z = 150

So, we have:

X = 12 + Y

X = Z - 18

X + 2Y - Z = 150

Substitute X = 12 + Y in X = Z - 18 and X + 2Y - Z = 150

12 + Y = Z - 18 ⇒ Y - Z = 30

12 + Y + 2Y - Z = 150 ⇒ 3Y - Z = 138

Subtract Y - Z = 30 from the equation 3Y - Z = 138 to eliminate Z

2Y = 108

Divide by 2

Y = 54

Substitute Y = 54 in X = 12 + Y

X = 12 + 54

X = 66

Substitute X = 66 in X = Z - 18

66 = Z - 18

Solve for Z

Z = 66 + 18

Z = 84

So, the total number of participants from the 3 schools is

Total = X + Y + Z

This gives

Total = 66 + 54 + 84

Evaluate the sum

Total = 204

Hence, there were 204 participants from the three schools

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Answer:

160 \(cm^{2}\)

Step-by-step explanation:

The lateral surface area is the area of the considered plane side of a given figure or shape. To calculate that of a prism, it is the product of the base of a prism and its height.

Thus for the given prism;

lateral surface area = (perimeter of its base) x height

perimeter of the base = 6 + 6 + 2 + 2

                                     = 16

Lateral surface area of the prism = 16 x 10

                                     = 160 \(cm^{2}\)

Therefore, the lateral surface area of the prism is 160 \(cm^{2}\).

Answer:

Vertex is (5,-9)

Step-by-step explanation:

Answer: The vertex is (5,-9).

Step-by-step explanation:

Step-by-step explanation:

the FH seems to be option b.6.0

........

Answer:

5.69 X 4 = 22.76

2.49 X 3 = 7.47

22.76 + 7.47 + 3 = 33.23

33.23/100 X 109.4 = 36.35362

monetary unit round to 2dp

$36.35

Answer:

$36.35

Step-by-step explanation:

Answer:

a.2:7

b.7:9

c.4:5

hope it helps

Explanation -

a. as original ratio is 10/35 , we reduce it to 2:7.

b. as original ratio is 35/45 , we reduce it to 7:9

c. as original ratio is 40:50 , we reduce it to 4:5

Option A, p V q is the correct answer. We can also say it as p union q.

What do you mean by union in mathematics?

The set containing all the elements in a collection of sets is referred to as the union (denoted by ) in set theory. It is one of the fundamental operations that allows sets to be joined together and connected to one another. A union of zero (0) sets is referred to as a nullary union, because it is by definition equivalent to the empty set.

The diagram shown below represents two statements which are p and q.

Here in the diagram,

A covers the region in which only p is true.

B covers the region in which both p and q are true.

C covers the region in which only q is true.

The combine region of A, B, and C covers the region in which either p is true or q is true.

Therefore the region of A, B, and C is the union of p and q. It can be written as p v q or p ∪ q.

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Answer:

B

Step-by-step explanation:

The cash price of the refrigerator is $408.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a new refrigerator has a price of $480.00.

The store will discount the price by 15% if the purchaser pays in cash.

Now, the discount is

15% of 480

= 15/100 ×480

= 0.15×480

= 72

Now, 480-72

= $408

Therefore, the cash price of the refrigerator is $408.

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Answer:

x=100 if im correct

Step-by-step explanation:

Answer:

D (3/2

Step-by-step explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)

Answer:

see below

Step-by-step explanation:

A. reflection across the Y-axis (all the points are the same distance from their corresponding point)

B. BC and KL, CD, and LM; when the points are reflected those are the line segments they create.

C. BCD and KLM; same as above

a) Elaine has a greater angular velocity than Tori, Elaine has the greater angular velocity.

b) Tori has a greater centripetal acceleration than Elaine, Tori is experiencing greater centripetal acceleration.

c) Both Elaine and Tori would experience the same centripetal acceleration during their cool-down run, regardless of their angular velocities

a. Angular velocity is defined as the rate of change of angular displacement. It is given by the formula:

ω = v / r

where ω is the angular velocity, v is the tangential velocity, and r is the radius of the curve.

For Elaine: ω = 4.2 m/s / 17.3 m = 0.242 rad/s

For Tori: ω = 4.6 m/s / 34.6 m = 0.133 rad/s

Since Elaine has a greater angular velocity than Tori, Elaine has the greater angular velocity.

b. Centripetal acceleration is the acceleration directed towards the center of the circular path. It is given by the formula:

a = ω^2 * r

where a is the centripetal acceleration, ω is the angular velocity, and r is the radius of the curve.

For Elaine: a = (0.242 rad/s)^2 * 17.3 m = 0.099 m/s^2

For Tori: a = (0.133 rad/s)^2 * 34.6 m = 0.622 m/s^2

Since Tori has a greater centripetal acceleration than Elaine, Tori is experiencing greater centripetal acceleration.

c. The centripetal acceleration remains the same regardless of the angular velocity. It only depends on the radius of the curve. Therefore, both Elaine and Tori would experience the same centripetal acceleration during their cool-down run, regardless of their angular velocities.

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Answer:

6 r10

Step-by-step explanation:

If you do 215 divided by 32 you get 6.71875 so i just rounded your answers and got B) if not be its D)

Answer:

C

Step-by-step explanation:

If you doubled an unknown number and subtract 1 and then square the answer to get 64, the unknown number is 4.5.

Given the following data:

To find an unknown number:

In this exercise, you're required to solve for an unknown number while performing some arithmetic operations such as multiplication, subtraction and square.

Translating the word problem into an algebraic expression, we have;

Doubling the unknown number, we would multiply by 2:

\(2n\)

Subtracting 1 from the above and squaring, we have:

\((2n-1)^2 = 64\\\\2n-1=8\\\\2n =8+1\\\\2n=9\\\\n=\frac{9}{2}\)

n = 4.5

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A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

The construction to this question is attached to this answer for more clarifications.

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Empirical likelihood estimation can be enhanced by incorporating auxiliary summary information with different covariate distributions through the use of weighted estimation. This can lead to more accurate parameter estimates in situations where the covariate distributions vary.

Empirical likelihood estimation is a statistical method used to estimate parameters in a model based on observed data. It is often used when the underlying distribution is unknown or difficult to specify.

When auxiliary summary information with different covariate distributions is available, it can be incorporated into the empirical likelihood estimation process.

To do this, we can first estimate the parameters of the auxiliary covariate distribution using the available summary information. Then, we can use these estimated parameters to construct weights for the empirical likelihood estimation.

These weights take into account the differences in the covariate distributions and help improve the accuracy of the parameter estimation.

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1/5

you take 1/4÷ 1 1/4 and you get 1/5

The given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.

The term "17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine" appears to be a chemical compound or a steroid compound. However, without additional information or context, it is challenging to provide an accurate description or explanation for this specific compound.Chemical compounds are typically described using a combination of systematic names, common names, or molecular formulas. These names are based on standardized nomenclature systems developed by scientific organizations.

In this case, the given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.To provide a more detailed explanation, it would be helpful to have the systematic name, molecular formula, or additional information about the compound's structure, properties, or usage. With these details, it would be possible to provide a more accurate and informative description of the compound.

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Answer:

is 11

Step-by-step explanation:

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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Answer:

5

Step-by-step explanation:

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