The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie

Answer:

ya pretty sure it's perspective

Step-by-step explanation:

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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The percentage of students that use the internet for more than 402 minutes =  16%

Percentage

Percentage, often referred to as percent, is a fraction of 100. Percentage means "per 100," and denotes part a total amount. For example, 45% represents 45 out of 100.

calculate the percentage-

The empirical rule states that

68% of the population lies within 1 standard deviation of the mean

95% of the population lies within 2 standard deviations of the mean

99.7% of the population lies within 3 standard deviations of the mean

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

The percentage will be illustrated in this:

P(X > 402) = P(X > 30 + 1 × 102)

= (1-0.68) / 2

= 0.32/2

= 16%

The percentage of students that use the internet for more than 402 minutes =  16%.

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9514 1404 393

Answer:

  the correct choice is marked: n°

Step-by-step explanation:

Vertical angles are congruent, so ∠3 = ∠1 = n°.

There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

47.5

Step-by-step explanation:

47.5=100%

57=120%

The input value is 47.5 when the output is 57.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

When the output is 120%, the input is 100%.

And the output is 1.2 times the input.

So, we have the output 57.

To find the input number:

Use division process,

The required number = 57 /1.2

The required number = 47.5.

Therefore, the number is 47.5.

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The measure of angle O in the given parallelogram is equal to 105°.

As given in the question,

Given parallelogram LMNO,

As shown in the attached diagram we have,

Measure of angle L = ( x + 40 )°

Measure of angle O = (3x)°

In the parallelogram LMNO,

LM is parallel to NO .

LO is the transversal.

∠MLO and ∠NOL are interior angles and are supplementary.

m ∠MLO + m ∠NOL = 180°

⇒ ( x  + 40 )° + ( 3x )° = 180°

⇒ 4x° = 180° - 40°

⇒x = 140° / 4

⇒ x = 35°

Measure of ∠O = 3x°

                          = 3(35°)

                          = 105°

Therefore, the measure of  ∠O  in the parallelogram LMNO with the given conditions is equal to 105°.

The complete question is :

What is the measure of angle O in parallelogram LMNO?

Diagram of parallelogram LMNO is attached.

m∠O = ?

a. 35°        b. 75°               c. 105°           d. 155°

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Answer: 105 degrees

Step-by-step explanation:

edge 2023, (Proving a Quad. is a Parallelogram)

Answer:

22 divided 5 I would think

Step-by-step explanation:

Answer:

its 60 bc 6-2÷180

4÷180=45

The decimal representation of 1/6 is 0.166666..., where the 6 repeats indefinitely. This can be written as 0.16 recurring or 0.1¯6.

The decimal number equal to 1/6 is 0.166666... when rounded to a certain number of decimal places.

When we divide 1 by 6, the result is a recurring decimal where the digit 6 repeats indefinitely.

This indicates that the division does not yield a terminating decimal. To represent this repeating pattern, we often use a bar notation.

In this case, the bar is placed above the digit 6, indicating that it repeats infinitely. So, the decimal equivalent of 1/6 is commonly expressed as 0.1¯6, or as 0.1666... when rounding to a specific number of decimal places.

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Marcus will have \(1\frac{7}{8}\) feet as left-over.

It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.

Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.

• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.

• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.

The left-over computation is as follows:

= \(8 - \frac{27}{8} - \frac{11}4}\)

= \(\frac{256-108-88}{32}\)

= \(\frac{60}{32}\)

= \(\frac{15}{8}\) or \(1\frac{7}{8}\) feet

Marcus will have \(1\frac{7}{8}\) feet as left-over.

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Answer:

a= 4,3

b=1,2

c=-3,4

d=-1,2

e= -2,-1

f= -4,-3

g=1,-2

h=4,-1

k=-3,0

The function represents the distance when he uses g gallons on a highway.

The given function is:

If we want to find how far does all drives if he uses 4 gallons of gas, we need to replace g=4.

Then:

Hence, he will be 120 miles away if he uses 4 gallons of gas.

The system of inequality of the situation is y = 2x and x + y ≥ 45 and the possible number of candy bars Sierra sold are 15, 16 and 17

From the question, we have the following parameters that can be used in our computation:

Represent Sierra with x and Breanna with x

Based on the readings from the question, we have the following inequalities

y = 2x

x + y ≥ 45

Substitute y = 2x in x + y ≥ 45

So, we have

x + 2x ≥ 45

Evaluate

3x ≥ 45

Divide by 3

x ≥ 15

This means that the number of candy bars Sierra sold are at least 15

The possible numbers are 15, 16 and 17

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The figures are similar by SAS (Side-Angle-Side) similarity.

Similar figures have the same corresponding angle measures and proportional side lengths.

The figure similarity criteria are:

From the given diagram, we can see that the bases of the two figures are not equal to each other but they have equal corresponding angles.

Thus, going by the criteria for similarity of figures, we can conclude that the two figures are similar by SAS since the lengths of each side of the triangle are of equal proportion.

1.8/1.8 = 6.66/6.66 = 4/4 = 8.4

So the answer will be;

Side - Angle - Side ( SAS), similarity

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In a standard 52-card deck, there are 20,358 ways to pick an (unordered) subset of 6 cards that contains at least one Ace, at least one King, at least one Queen, and at least one Jack.

When selecting a subset of 6 cards from a standard 52-card deck, the main objective is to ensure that the subset contains at least one Ace, one King, one Queen, and one Jack. To calculate the number of ways this can be achieved, we can break it down into steps.

Step 1: Select one Ace, King, Queen, and Jack

There are 4 ways to choose one Ace, 4 ways to choose one King, 4 ways to choose one Queen, and 4 ways to choose one Jack.

Step 2: Select two additional cards from the remaining 48 cards

After selecting one Ace, one King, one Queen, and one Jack, we are left with 48 cards. To complete the subset of 6 cards, we need to choose two more cards from this remaining set. The number of ways to select two cards from 48 is calculated using combinations, denoted as "48 choose 2," which is equal to 1,128.

Step 3: Multiply the results

To determine the total number of ways, we multiply the results of each step. Therefore, the total number of ways to pick an (unordered) subset of 6 cards that contains at least one Ace, one King, one Queen, and one Jack is 4 * 4 * 4 * 4 * 1,128 = 20,358.

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we can determine the number of positive integers less than 1000 that are divisible by either 7 or 11 without double counting.

The rule used to find the number of positive integers less than 1000 that are divisible by either 7 or 11 is the principle of inclusion-exclusion.

The principle of inclusion-exclusion allows us to calculate the total count of elements that satisfy at least one of multiple conditions. In this case, we want to find the count of positive integers less than 1000 that are divisible by either 7 or 11.

To apply the principle of inclusion-exclusion, we first find the count of positive integers divisible by 7 and the count of positive integers divisible by 11. Then, we subtract the count of positive integers divisible by both 7 and 11 (to avoid double counting) from the sum of the two counts.

In mathematical notation, the rule can be expressed as:

Count(7 or 11) = Count(7) + Count(11) - Count(7 and 11)

By applying this rule, we can determine the number of positive integers less than 1000 that are divisible by either 7 or 11 without double counting.

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Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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Answer: function

Step-by-step explanation: To determine whether the relation shown here

is a function, remember that a relation is a function if each x term

corresponds to exactly one y term.

In the data set show, each x term, -2, 9, 1, 3, and 10 appears only once.

This means that each x term corresponds to exactly one y term.

So yes, the relation is a function.

Answer:

-17/9

Step-by-step explanation:

You need to add 7 to both sides.

-9x - 7 = 10

-9x -7 + (7) = 10 + 7

-9x             = 17

Then both sides for (-9)

-9x/(-9) = 17/(-9)

          x = -17/9

The curve of intersection between the cylinder x^2 + y^2 = 1 and the plane y + z = 2 is a circle lying on the plane y + z = 2. The parametric equations for this curve are x = cos(θ), y = sin(θ), and z = 2 - sin(θ), where θ is the parameter representing points on the circle.

To find the parametric equations for the curve of intersection between the cylinder and the plane, we can start by parameterizing the cylinder using the angle θ. Since the equation x^2 + y^2 = 1 represents a circle in the x-y plane with radius 1, we can use θ as a parameter to represent points on this circle.

The parametric equations for the cylinder are:

x = cos(θ)

y = sin(θ)

z = 2 - y

Next, we substitute these equations into the plane equation y + z = 2 to determine the intersection points. By substituting y and z, we have sin(θ) + 2 - sin(θ) = 2, which simplifies to sin(θ) - sin(θ) = 0. This implies that the plane equation is satisfied for any value of θ.

Therefore, the intersection between the cylinder and the plane is the entire cylinder itself, lying on the plane y + z = 2. The parametric equations for the curve of intersection are x = cos(θ), y = sin(θ), and z = 2 - sin(θ).

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Answer:

Area = 24

Step-by-step explanation:

Area of rhombus = \( \sf \frac{( d_1 × d_2)}{2} \)

Area = 8×6/2

Area = 48/2

Area = 24

Answer: the area of a rhombus is 16√5 cm²

Step-by-step explanation:

a=6 cm      d=8 cm      S=?

\(\displaystyle\\S=d\sqrt{a^2-(\frac{d}{2})^2 } \\\\S=8\sqrt{6^2 -(\frac{8}{2})^2}\\\\S=8\sqrt{36-4^2} \\\\S=8\sqrt{36-16} \\\\S=8\sqrt{20}\\\\S=8\sqrt{4*5} \\\\S=8(2\sqrt{5}) \\\\S=16\sqrt{5} \ cm^2\)