Describe a circular cross-section of a sphere that does not pass through the center.
Select All that apply
The radius will be equal to the radius of the sphere
The radius will be larger than the radius of the sphere
The radius will be smaller than the radius of the sphere
The area of the circular cross-section will be 2piR squared
The sphere will be divided into 2 equal sections
The volume of the 2pieces of the sphere will not be the same

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

\(Radius = \frac{circumference}{2\pi}\)

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

\(Radius=\frac{11}{2\pi}\)

Multiply 2 by pi. We will use 3.14 in replacement of pi.

\(Radius=\frac{11}{6.28}\)

Now, divide.

\(Radius=1.75\)

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

\(Area=r^2\pi\)

Plug in 1.75 for the radius.

\(Area=(1.75)^2\pi\)

Simplify the exponent.

\(Area=(3.0625)\pi\)

Multiply the numbers.

\(Area=9.61625\)

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test

Answer:\(180\pi\)

Step-by-step explanation:

\(v=\pi rx^{2} h\\v=\pi 6^{2} 5\\\\v=180\pi\)

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

Step-by-step explanation:

\(120+15\%\times120=120+0.15\times120=120+18=138\)

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

1/4

Step-by-step explanation:

4/4-3/4=1/4

Two non-adjacent angles formed by two intersecting lines are vertical angles.

Below you can see a graph with two intersecting lines where 4 angles are formed.

There are two pairs of angles.

In the image:

Are adjacent.

Are vertical.

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Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

Answer:

About 1 ride a day

Step-by-step explanation:

Answer:

Approximately 2.

Step-by-step explanation:

75 years and 365 days a year would be about 27,375 because we do not know which year he was born we cannot say how many leap years there are so we don't add that to the equation and we will just have to say that out answer is an approximation.

Now if he lived 27, 375 days then we divide the amount of car rides( 50, 000) by that number(50,000/27,375= 1.826484018264840182648401826484)

We can just round this to the nearest whole number which would be 2.

so the answer is approximately 2 car rides per day.

Answer:

13

Step-by-step explanation:

because you have to divide 13 divide by 1 and eat equals 13 then if you spin it the posibility might be 13

Answer:

7/13

Step-by-step explanation:

Given;

A spinner has 13 equal sections.

Find;

The probability of landing on an odd number.

1. Information that one needs to know

To calculate the probability, one needs to have the number of favorable outcomes over the total number of outcomes.

2. Solving the problem

The favorable outcomes are the odd numbers, hence one needs to find the number of odd numbers between 1 and 13. There are 7 odd numbers between 1 and 13. The total number of outcomes is 13, hence the probability of landing on an odd number is 7/13.

The given points (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

A point lies on a line if and only if it can be written as the sum of a scalar multiple of a direction vector and a position vector of the line.

To determine if each point lies on the line defined by X = -5 + t, y = 6t, and z = 6+ t, we can substitute each point into this equation to see if it is equivalent.

(a) (0, 30, 11):

-5 + t = 0, so t = 5

y = 6t = 6 × 5 = 30

z = 6 + t = 6 + 5 = 11

So, (0, 30, 11) can be written as -5 + 5i + 6 × 5j + 6k = -5i + 30j + 11k, which lies on the line.

(b) (5, 6, 11):

-5 + t = 5, so t = 10

y = 6t = 6 × 10 = 60

z = 6 + t = 6 + 10 = 16

So, (5, 6, 11) does NOT lie on the line.

(c) (-7, -12, 4):

-5 + t = -7, so t = -2

y = 6t = 6 × -2 = -12

z = 6 + t = 6 + -2 = 4

So, (-7, -12, 4) can be composed as -5 - 2i + -12j + 4k = -7i - 12j + 4k, which lies on the line.

Therefore, (a) lies on the line, (b) does NOT lie on the line, and (c) lies on the line.

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--The given question is incomplete; the complete question is

"Determine whether each point lies on the line.

X = -5 + t, y = 6t, z = 6+ t                                                                                                          (a) (0, 30, 11)                                                                                                                                (b) (5, 6, 11)                                                                                                                                          (c) (-7, -12, 4)"--

Answer:

-4.9x^2 + 25x + 1.6 = 0

Step-by-step explanation:

Just evaluate the line in the values of the point and check if the equation is true or not.

So let's say line l has an equaiton known:

y = a*x +b

To check if a point is on the line, just replace the values of the point on the line equation, if the equation is true, then that point belongs to the line, if don't, then the point does not belong to the line.

That is the only way to check that.

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Answer:

Y=4x+2

Step-by-step explanation:

The most basic way to put this is dont count the starting Y when plotting, you can just count the Rise over Run meaning just look how much the Y moves up as the X moves 1 that will just be the first part and then just put +/- at the starting Y variable

Answer:

351.9 cubic inches

Step-by-step explanation:

The volume formula for a cylinder is:

\(V=\pi r^{2} h\)

r is the radius

h is the height

To find the radius, we simply divide the diameter by 2 since the radius is have of the diameter. This will give us 4. Now we just put our values into the formula and solve with a calculator:

\(V=\pi (4^{2}) (7)\\V=\pi 16(7)\\V=\pi 112\\V=351.85\\\)

The rounded number is 351.9

Answer: the answer would be 18.85

Step-by-step explanation:

multiply 13 by 14.5 then divide by 1/10

Answer:

18.85

Step-by-step explanation:

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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Answer:

Paayal sold 180 cookies and Parvathy sold 20 cookies.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=200 (1)

0.05x+0.10y=11 (2), where:

x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.

First, you can solve for x in (1):

x=200-y (3)

Now, you can replace (3) in (2):

0.05(200-y)+0.10y=11

10-0.05y+0.10y=11

0.05y=1

y=1/0.05

y=20

Finally, you can replace the value of y in (3) to find x:

x=200-y

x=200-20

x=180

According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.

Answer: mean= 24.2 and the standard deviation is 6.0 :)

Step-by-step explanation: this is because when you solve for the equation the result for the standard deviation is 6.3 but if you round the number, it becomes 6.0, being the standard deviation.

Answer:

14

Step-by-step explanation:

Answer: 2x-7

Because the other person is wrong

The radius and center of the translated circle are,

Radius = 7 units

Center = (10, - 2)

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The equation of circle is,

x² + y² - 18x + 8y + 48 = 0

Now, We can simplify the equation as;

x² + y² - 18x + 8y + 48 = 0

x² - 18x + 81 - 81 + y² + 8y + 16 - 16 + 48 = 0

(x - 9)² + (y + 4)² = 49

(x - 9)² + (y + 4)² = 7²

Hence, The radius of circle = 7

And, Center = (9, - 4)

Let the center of circle after translated one unit right and two units down is, (h', k')

Hence, We get;

h' = 9 + 1 = 10

k' = - 4 + 2 = - 2

Thus, The equation of the translated circle is,

(x - 10)² + (y - (- 2))² = 7

Hence, the radius and center of the translated circle are,

Radius = 7 units

Center = (10, - 2)

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Answer:

3/7 divided by 2 1/2 = 6/35

Explanation:

3/7 ÷ 2 1/2

= 3/7 ÷ 5/2

= 3/7 × 2/5

= (3 × 2)/(7 × 5)

= 6/35

0.7n+0.8n=2.1

1.5n=2.1

n=1.4

Therefore, the answer is B.

Answer:

B). n = 1.40

Step-by-step explanation:

0.7n + 0.8n = 2.1

(0.7n + 0.8n) = 2.1

1.5n = 2.1

/1.5 /1.5

n = 1.40

hope this helped!

Bivariate table is that which shows the relationship between two variables. The rule of thumb... if the table is scaled down by percentage, read the whole thing. If the table is percentages, read it down.

Bivariate table:

A table that depicts the relationship between two variables by showing the distribution of one variable over the categories of a second variable.

Bivariate Table Primary Purpose:

A bivariate table shows the distribution of one variable over the categories of another variable.

Finally, we mentioned that univariate data can be displayed in many different ways, such as bar charts and box plots. Bivariate data, on the other hand, are usually displayed in scatter plot.

Rule of thumb:

Bivariate analysis results can be represented in form of a two-column data table.

A rule of thumb when reading spreadsheets created by others is then spreadsheet is percentage down, read the whole thing. If the table is percentages, read it down.

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Answer:

Mass of a liquid- they measure the object

Mass of a gas-The molecular weight (molar mass) of any gas is the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation

Step-by-step explanation:

hope this helps

Answer:

8.50x \(\geq\) 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

\(Sin \theta = \dfrac{opposite}{hypothenuse}\)

∴

\(Sin (53^0) = \dfrac{4}{x}\)

Making x the subject of the formula:

\(x = \dfrac{4}{Sin \ 53^0}\)

\(x = \dfrac{4}{0.7986}\)

\(x \simeq 5\)

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

\(Cos \theta = \dfrac{adjacent}{hypothenuse}\)

\(Cos \ 53^0 = \dfrac{y}{x}\)

where; x = 5

\(Cos \ 53^0 = \dfrac{y}{5}\)

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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The length of arc BC is 8/3 feet.

To find the length of arc BC, we first need to find the measure of angle BOC, where O is the center of the circle. Since angle BAC is 1/3 of one radian, and the central angle BOC intercepts the same arc BC, we know that angle BOC is three times angle BAC, or one radian.

Since the radius of the circle is 8 feet, the circumference is 2πr, or 16π feet. Since angle BOC is one radian, it subtends an arc on the circumference that is 1/2 of the total circumference, or 8π feet.

Therefore, the length of arc BC is 1/3 of arc BOC, or 8π/3 feet.

To find the length of arc BC, we will follow these steps:

1. Identify the given information: The radius of the circle is 8 feet, and the angle BAC is 1/3 of a radian.

2. Determine the central angle in radians: Since angle BAC is 1/3 of a radian, the central angle (θ) of the circle that corresponds to arc BC is also 1/3 of a radian.

3. Calculate the length of arc BC using the formula: Arc length (L) = radius (r) × central angle (θ).

In this case, r = 8 feet and θ = 1/3 radian.

L = 8 × (1/3)
L = 8/3

4. Simplify the expression: L = 8/3 feet.

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Answer:

3: 0.625

4: 2.2

7: 1.083

8: 4.285

11: 1.1

12: 0.08

Step-by-step explanation:

Answer:

3. 0.625

4. 0.364

7. 1.083

8. 4.286

11. 1.1

12. 0.08

Step-by-step explanation:

i did my best, sorry if its wrong :)