A plane intersects both bases of a cylinder, passing through the center of each baseof the cylinder. What geometric figure will be formed from this intersection?

3)9.375 and 12 is )37.5

Answer:

2160

Step-by-step explanation:

because c is 15 and d is 12 therefore d² is 144 and 144x15 is 2160

Answer:

2160

Step-by-step explanation:

Substitute

\((15)(12) {}^{2} \)

\(15 \times 144 = 2160\)

Answer:

should be 3.07 (when rounded to the nearest  hundredth)

Step-by-step explanation:

Answer: $3.08 per pound of strawberries.

Unit price is 3.08/1

Step-by-step explanation: The unit price is how much 1 point of strawberries cost.

To find the unit price divide 20 by 6.5.

20/6.5 = about $3.08.

Answer:

Step-by-step explanation:

f(x-2)  means that x is happening sooner or a shift to the left and

+4 means that the whole function moves up 4.

The 1st choice looks good

Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is \(\frac{25}{1}\)

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

for part B, y=25x+65

so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140

Answer:

\(\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}\)

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Figure :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}\)

\(\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}\)

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

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Answer:

B. II, III, and IV only

Explanation:

Vertical lines have an undefined slope and the equation of these lines is x = c, where c is a constant value

Horizontal lines have a slope equal to 0 and the equation of these lines is y = c, where c is a constant value.

Therefore, the statements that are true about the graph are:

The equation of line b is y = -5

Line b has a slope of 0

The equation of line a is x = 3

The approximate value of the given logarithmic expression as required to be determined is; 1.528.

As evident from the task content; it is required that the value of the logarithmic expression is to be determined.

Therefore, we have;

let the result of the expression be x; so that we have;

log₈ (24) = x

x log (8) = log (24)

x = log (24) - log (8)

x = 1.528

Ultimately, the approximate value of the logarithmic expression in discuss is; 1.528.

Complete question: The correct expression is; log₈ (24) .

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Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

The slope, m, of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:

This line passes through the points (0, 0) and (5, 2), then its slope is:

Answer:1/169 i think

Step-by-step explanation:

Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Answer:

1/6

Step-by-step explanation:

There are 6 CD

P( song from 6th ) = number of CD's that are 6th/ total

                                = 1/6

Answer:

Step-by-step explanation:

Answer:

(2, 1)

Step-by-step explanation:

x - y = 1

x + y = 3

We add them together and get:

2x = 4 --> x = 2

Plug it in

2 + y = 3 -->

Subtract 2 from both sides

y = 1

(2, 1)

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

19

Step-by-step explanation:

First we need to add all these numbers together

20+25+7+27+18+17=114

Next, we have to divide all these numbers by the number of values there are.

If we count, there are 6 values that we added together.

After that, we divide 114 by 6 to get the answer

114/6=19.

Step-by-step explanation:

this is a college question ???

and you don't know how to do this ?

remember middle school and high school ? besides math classes themselves, did you never track your class scores and such ?

the average or mean value is always the sum of all data points divided by the number of data points.

here we have 6 data points.

the average is

(20+25+7+27+18+17)/6 = 114/6 = 19

Answer:

he is spending 3.50 each week

By using trigonometry, it can be calculated that- sin 23º = \(\frac{5}{13}\)

What is Trigonometry?

Trigonometry is a branch of mathematics that studies the relationships between the sides and angles of triangles. It is used to calculate the lengths of sides, the measures of angles, and the relationships between the two. Trigonometry is important for understanding many areas in mathematics, such as calculus and engineering. Trigonometric functions are used to model and analyze phenomena in many areas, such as sound waves, light waves, and ocean tides. Trigonometric identities allow us to simplify equations and solve problems. Trigonometry is a fundamental tool in many scientific and engineering disciplines.

There are six trigonometrical functions. They are

\(sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta\)

\(sin\theta = \frac{perpendicular}{hypotenuse}\\cos\theta = \frac{baser}{hypotenuse}\\tan\theta = \frac{perpendicular}{base}\\cot\theta = \frac{base}{perpendicular}\\sec\theta = \frac{hypotenuse}{base}\\cosec\theta = \frac{hypotenuse}{perpendicular}\\\)

Trigonometry is a very important tool in mathematics.

For an angle of 23º,

Perpendicular is 5, base is 12 and hypotenuse is 13

sin 23º = \(\frac{5}{13}\)

First option is correct.

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Answer: x - 8

Step-by-step explanation:

Factor it and you'll be fine.

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Answer:

Scale Factor:1/3

A(-6,0)->A'(-2,0)

B(-3,-3)->B'(-1,-1)

C(-9,-6)->C'(-3,-2)

This scale factor is reduced

Scale Factor:2

A(-6,0)->A'(-12,0)

B(-3,-3)->B'(-6,-6)

C(-9,-6)->C'(-18,-12)

This scale factor is enlarged

The new function is f(x) = x² + 3.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

y= x²

If there is shifting of 3 unit in right side then the function can be represented as

f(x) = x² + 3

Hence, the new function is f(x) = x² + 3.

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Answer:

Given,eqn is -6x-18y=20

or,-18y=6x+20

or,y=6x+20/-18

or,y=6x/-18 +20/-18

or,y= - X/3 -10/9

Comparing above eqn with y=mx +c,we get

m= -1/3 and y-intercept (c)=-10/9

*Mark me brainliest

Answer:

slope: -1/3  y-int: -10/9

Step-by-step explanation:

first step is to turn the equation into slope intercept form (y=mx+b)

-6x-18y=20

+6x        +6x

-18y=6x+20

divide -18 on both sides

y=-1/3x-10/9

the m is the slope, and the b is the y-intercept

The relationship between the diameter of a circle and it's circumference is presented in this problem.

The circumference of a circle of radius r is given by the equation presented as follows:

\(C = 2\pi r\)

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

The diameter is twice the radius, hence, for a circle with diameter 35 in, the radius is given as follows:

r = 0.5 x 35

r = 17.5 in.

Then the circumference of the circle is given as follows:

C = 2 x pi x 17.5

C = 109.9 in.

The problem is incomplete, hence the relation between the diameter of a circle and it's circumference is presented.

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Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.