If a circle has a circumference of 40π and a chord of the circle is 24 units, then the chord is ____ units from the center of the circle

Answer: Yes they both pass through the point

Answer:

Step-by-step explanation:

The answer would be, 25.17.

You need to multiple the total by 0.15 . Then add the answer to the total.

Answer:

$25.17

Step-by-step explanation:

$21.89 multiplied by 0.15 equals $3.28.

You then add the original bill to $3.28 which equals $25.17 for the total cost.

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

Answer:

B

Step-by-step explanation:

If you solve -12-4x>-24, You get this: x<3

when the circle is colored dark (sorry I dont know how to describe this xD)(example, A and C), It means it is ≥ or ≤. When the circle isn't colored in, it is < or > (example: B and D)

Because x<3 has a <, It means that the circle would not be colored. The choices B and D aren't filled.

Now we have to determine which direction it would go. x<3 means that x is less than 3 because x<3 shows that 3 is greater than x. These choices would be ...,-1,0,1, and 2. If you see D, It shows that x is greater than 3 because the direction is going through 4 and 5 which is greater than 3.

Hence, The answer would be B because the direction is going through the numbers that are less than 3.

Hope this helps! =)

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

1(-10-6v)

-10-6v

I think that is the answer for that question

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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Answer: 5 dimes 4 nickels 12 quarters

Step-by-step explanation:

i dont think u need one bro

Beth has 7.5 Dimes, 6.5 Nickel, and 14.5 Quarters.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Total value =$3.70

Let

Nickel = x -1

Dimes =  x

Quarters = x + 7

Every

Nickel = 5 cents

Dimes = 10 cents

Quarters = 25 cents

Total cents = $3.70× 100 = $370

⇒ 5n + 10d + 25q = 370

⇒ 5(x-1) + 10(x) + 25(x+7) = 370

⇒ 5x-5 + 10x + 25x+175  = 370

⇒ 40x + 70= 370

⇒ 40x = 370 - 70

⇒ 40x = 300

Divide both sides by 40

⇒ x= 300/40

⇒ x = 7.5

⇒ Dimes =  7.5

⇒ Nickel = 7.5 -1 = 6.5

⇒ Quarters = 7.5 + 7 = 14.5

Hence, Beth has 7.5 Dimes, 6.5 Nickel, and 14.5 Quarters.

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Expanding the equation gives us the final quadratic equation is 5x^2 - 15x - 30 = 0.

The quadratic equation with roots −3 and 6 can be written in the form:

(x - r1)(x - r2) = 0,

where r1 and r2 are the roots of the equation. Substituting the given roots, we have:

(x - (-3))(x - 6) = 0,

which simplifies to:

(x + 3)(x - 6) = 0.

To include the leading coefficient of 5, we can multiply both sides of the equation by 5:

5(x + 3)(x - 6) = 0.

Expanding the equation gives us the final quadratic equation:

5x^2 - 15x - 30 = 0.

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Answer:

The correct answer is A or 2(x+1/2x)=105

Step-by-step explanation:

3+2(x+1/2x)=105

Answer: the height of the pole is 16.782 meters

Step-by-step explanation: Let us take the height of the pole as "h".

i) Finding the height of the pole:

distance from the pole is 20m.

The angle of elevation is 40°

\(tan(40°) = h/20\)

Multiply both sides by 20:

\(20 * tan(40°) = h\)

\(h ≈ 20 * 0.8391 ≈ 16.782 meters\)

Therefore, the height of the pole is 16.782 meters.

ii) Finding the angle of depression

The angle of depression is the angle formed between the horizontal ground and the line of sight from the point of observation to the foot of the pole.

angle of depression = angle of elevation = 40°

Therefore, the angle of depression of the foot of the pole from the point of observation is 40°.

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Using trigonometric methods, it is determined that the height of the pole is found by using the formula for tangent, and adding the height of the observer. The angle of depression equals the angle of elevation, so both are 40 degrees.

To solve the problem, we use the properties of a right triangle and trigonometric functions. Since we know the angle of elevation and the length of one side, we can find the length of the other side using the tangent function.

For the height of the pole: we know that tan(θ) = opposite/adjacent, so,
tan(40) = height/20
height = tan(40) * 20

Let's denote the observer's height as h=1.54m, so the total height of the pole is height + h.

For the angle of depression: In a right triangle, the angle of depression and the angle of elevation are equal. Therefore, the angle of depression is also 40 degrees.

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Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, \(P (win) =0.8\)

The likelihood of losing round by complementary law

\(P(loss) = 1 -P(win)\\\\\)

            \(=1-0.8\\\\=0.2\\\\\)

Let X be the number of rounds to the first loss played.

Here, \(X \sim Geometric (p=0.2)\)

The PMF of X is the following:

\(P(X=x)=p(1-p)^x\\\\\)

        \(=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....\)

The mean of X is the geometric random variable property, \(E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\\)

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

\(P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\\)

Find the upper bound of \(P (X \geq 10)\)

\(P(X \geq 10) \leq \frac{E(X)}{10}\)

                 \(=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\\)

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500

Answer:

18+6=24

Step-by-step explanation:

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

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Answer: false

Step-by-step explanation:

Answer:

C : 4√2

Step-by-step explanation:

An triangle has two sides of equal right angles

We call the perpendicular side a, the isosceles triangle FGD at G

According to the Pythagorean Theorem

FH = √FG² + GH² = √a²+ a² => a√2 = 8

⇒a = 4√2

The total surface area of the triangular prism is  225  in²

Remember that the area of a rectangle of length L and width W is:

A = L*W

And the area of a triangle of base B and height H is:

A = B*H/2

The areas of the 2 triangular faces is:

A = (4.5 in)*6in/2 = 13.5 in²

And the areas of the 3 rectangular faces are:

Then the total surface area is:

2*(13.5 in²) + 66 in² + 49.5 in² + 82.5 in² = 225  in²

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Answer:

A.

Step-by-step explanation:

Answer:

< EFG

< GFE

Step-by-step explanation:

The letter for the vertex must be in the middle

< EFG

< GFE

<F

Answer:

90 km, N 46° E

Step-by-step explanation:

A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.

Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).

This will be the jet's distance from its starting point.

In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.

The Law of Cosines will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.

In this case, the known angle is 110° (angle B) so we will use the Law of Cosines respective to B.

Substitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).

The distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.

The Law of Cosines with respect to A:

Substitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).

The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.

1. We can say that polygons are similar if similar by comparing their corresponding angles and side lengths.

2. Theorems that can be used to prove that triangles are similar include the angle-angle (AA) similarity theorem, the side-side (SSS) similarity theorem, and the side-angle-side (SAS) similarity theorem.

3. The scale factor is 3

1. You can determine if polygons are similar by comparing their corresponding angles and side lengths. If all corresponding angles are congruent and all corresponding side lengths are proportional, then the polygons are similar.

2. Theorems that can be used to prove triangles are similar include the Angle-Angle (AA) Similarity Theorem, the Side-Side-Side (SSS) Similarity Theorem, and the Side-Angle-Side (SAS) Similarity Theorem.

3. If the preimage of a point is (6,2) and the image is at (3,1) after a dilation about the origin, then the scale factor is found by dividing the corresponding change in x-coordinates by the corresponding change in y-coordinates:

scale factor = (change in x-coordinates) / (change in y-coordinates)

= (6 - 0) / (2 - 0)

= 3

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Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

To calculate the profit, we subtract the cost from the selling price. Mrs. Richardson's cost for arranging the bouquet is $13.67, and she charges the bride $35 for the arrangement.

Profit = Selling Price - Cost

Profit = $35 - $13.67

Profit = $21.33

Therefore, Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

In this scenario, the profit is calculated by subtracting the cost of arranging the bouquet from the selling price. The cost incurred by Mrs. Richardson is $13.67, which includes the expenses for materials, labor, and any other associated costs. On the other hand, the selling price is $35, which is what the bride pays for the arrangement.

By subtracting the cost from the selling price, we find that the profit per arrangement is $21.33. This means that Mrs. Richardson earns $21.33 for each bouquet she arranges for a wedding, after covering her costs.

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Answer:

1391/6 and 1505/6

Step-by-step explanation:

Let x be truck's speed and x+19 be car's speed. Since they are going opposite, we can set up an equation: 3(2x+19)=1448. x= 1391/6

Their monthly income of George is 57,600.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given spends of George from monthly income,

let monthly income be x

spends on food = 5/8 of salary

spends on food = 5x/8

amount left = x - 5x/8 = 3x/8

spends on fees = 1/6 of remainder

spends on fees = 1/6 × 3x/8 = x/16

amount left = 3x/8 - x/16 = 5x/16

spend on contingencies = 2/3 of remainder

spend on contingencies = 2/3 × 5x/16

spend on contingencies = 5x/24

amount left = 5x/16 - 5x/24 = 5x/48

amount left = 6000 = 5x/48

x = (6000×48)/5

x = 57,600.

Hence monthly income is 57,600.

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George's monthly salary is 57600

A fraction represents a numerical value, which defines the parts of a whole. the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction. The top number represents the number of selected or shaded parts of a whole whereas the bottom number represents the total number of parts.

Let monthly salary of George be x.

Given, Money spend on food = 5/8th of salary = 5/8x

Remaining salary = x - 5x/8 = 3x/8

Amount on school fees = 3x/8 × 1/6 = x/16

Remaining amount = 3x/8 - x/16 = 5x/16

Amount on contingencies = 5x/16 × 2/3 = 5x/24

According to the question

5x/8 + x/16 + 5x/24 + 6000 = x

(30x + 3x + 10x) /48 +6000 = x

43x /48 + 6000 = x

x-43x/48 = 6000

48x - 43x = 6000 × 48

5x = 288000

x = 57600

George monthly salary = 57600

Hence, George get a monthly salary of 57600

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Answer:

P (rosemary) = 9/19

Step-by-step explanation:

Given :-

To Find :-

Solving :-

The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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Call the number : x

18 is 30% of x => x : 0.3 = 18

x : 3/10 = 18 => (10/3)x = 18
x = 18 : 10/3 = 54/10 = 27/5

Recheck : 27/5 :3/10 = 270/15 = 18

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

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A Paired t-test evaluates data from dependent samples in which the two treatments are applied to the same individual.

T-test is a statistical statistics mainly use when population variance is unknown and sample size is small.

In Paired t-test , we compare means of two dependent samples . It gives hypothesis examination on difference between of mean.

It uses same items or people in both sample that's why they are also known as dependent t-test

Paired t-test also increases the statistical power of our analysis.

Formula of paired t-test :

\(t = \frac{m}{s/\sqrt{n} }\)  with (n-1) degree

where , m is mean difference

s is standard deviation

n is sample size

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