Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?

Answers

Answer 1

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

How to calculate the perimeter?

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

Given the following data:

Minor base = 10 cm.Major base = 13 cm.

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

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Consider An Isosceles Trapezoid Rotated About An Axis Of Symmetry That Passes Through The Midpoint Of

Related Questions

A box of donuts has 12
total. One-fourth of
the donuts have sprinkles.
Of the remaining donuts,
one-third have cherry filling.
The rest are plain. How
many plain donuts are in
the box?

Answers

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

What is the value of the expression below when t = 6?

Answers

Answer:

C. -18

I hope that this helped you.

Answer:

  C.  -18

Step-by-step explanation:

The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.

__

  [tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]

_____

Additional comment

In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.

  = 2(2 -11) = 2(-9) = -18

Angles 1 and 2 are supplementary



Angle 1 = 30°

Answers

Answer:

Angle 2 = 150°

Step-by-step explanation:

▪︎ Measures of supplementary angles add up to 180°.

Therefore,

Angle 1 + Angle 2 = 180°

Angle 1 = 30°

30° + Angle 2 = 180°

Angle 2 = 180° - 30° = 150°

What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction

Answers

The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

Simplifying fractions

From the question, we are to determine the product of the given expressions

The given expressions are

[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]

[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]

[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]

[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]

OR

[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]

OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

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Here is the complete and correct question:

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

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Answer:

A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction

Step-by-step explanation:

correct on edge :)

The area of a DVD is 36π cm.2​​. What is the diameter of the DVD?

Answers

Answer:

i had done this before so thats your answer, pls follow

The diameter of the DVD is 12 units.

What is Surface Area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. It is the overall area that the object's surface occupies.

As per the given data:

The area of the DVD is equal to 36π cm².

We have to find out the diameter of the DVD.

As we know that a DVD is having a circular shape:

Area for a circle is given by πr², where r is the radius of the circle.

From the given data in the question:

πr² = 36π

r² = 36

r = √36

r = 6 units

The diameter of a circle is double the radius of the circle.

Diameter = 2r = 2 × 6 = 12 units

The diameter of the DVD is 12 units.

Hence, the diameter of the DVD is 12 units.

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Make sure your answer is in degrees. you should be able to find this without a calculator.

sin-1 -1/2 = ?

Answers

Answer:

Below.

Step-by-step explanation:

sin-1 1/2 = 30 degrees in the first quadrant.

As the sin is negative in Quadrants 3 and 4,

sin01 -1/2

= 210, 330 degrees,  in the range 0-360 degrees

Answer: -30°

Step-by-step explanation:

right on acellus

Write the slope-intercept form of the equation of the line through the given points.
through: (0,4) and (5,-2

Answers

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4

(I will give brainlist ) What is the equation of the following graph?

Answers

Answer: y=1/3x+2

Step-by-step explanation:

Solve pls i give brainlist to correct answer.

Answers

Answer:

Maggie can run faster by 0.85 minutes.

Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.

Step-by-step explanation:

Maggie = can run a mile in 5.2 minutes (1.3/0.25)

Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)

5.2-4.35= 0.85 minutes

Can someone help me with this question?

A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

Event A: The first ticket is a concert ticket.

Event B: The second ticket is a concert ticket.

about ___%.

Answers

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

Probability without replacement

To solve this problem, let's write down the data given;

Data;

Movie Ticket = 12Concert Ticket = 8

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

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Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm

Answers

Answer:

The surface area of this cylinder is  1168.67

Step-by-step explanation:

To find the surface area of a cylander use this formula

A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²

Plug in

A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²

Answer is 1168.67

HELP NOW PLEASE

k(x)=x^(2)+3x+8

find k(-1)
find k(0)
find k(5)

Answers

Answer:

6, 8, 48

Step-by-step explanation:

substitute x = - 1, 0, 5 into k(x)

k(- 1) = (- 1)² + 3(- 1) + 8 = 1 - 3 + 8 = 6

k(0) = 0² + 3(0) + 8 = 0 + 0 + 8 = 8

k(5) = 5² + 3(5) + 8 = 25 + 15 + 8 = 48

Freida deposited money into a savings account. After a year the account had $4,200. If the interest rate is 5%, how much money did Frieda originally deposit?

Answers

Answer:

There is a total of 200 dollars profit

** PLS HELP BRAINLIEST!! ** THIS WILL AFFECT MY GRADE
Here are three lines that intersect at
one point.
Write a true equation based on this
diagram.

Answers

Answer:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

Explain how to solve this problem:
A credit card company charges 12.9% annual interest. If they
compound interest monthly, how much will you owe for every dollar
you do not pay off for a year?

Answers

"every dollar" means P = 1

compounded monthly interest means 12

1(1+(.129/12)^(12(1)) =

in calculator do pemdas

1. .129/12 = 0.01075

2. 0.01075 + 1 = 1.01075

3. (1.01075)^12 = 1.136907156 =

answer = 1.14

Mayfield schools

lcps

What is muscular endurance

Answers

Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.

Step-by-step explanation:

I hope it'll help you...

Answer:

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.

Step-by-step explanation:

:)

I really need help!! Imagine you bought a car that is valued at $20,000 but depreciates at a rate of 15% per year. How much is the car worth after 5 years? What is your classmate’s error, what is the correct equation, and what is the value of the car after 5 years?

thanks

Answers

Answer:

[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000

Step-by-step explanation:

20000 times (0.15 is rate) times years (5)

Answer you get is 15000 , then you have to take 20000+15000=35000

HELP PLS PLS! WILL GIVE POINTS aND BRAINLYEST ​

Answers

Answer:

See below ~

Step-by-step explanation:

Blue inequality

y ≤ -x + 4

Red Inequality

y > 1/4x

Answer:

See below

Step-by-step explanation:

Find the equation of the blue line....the blue shaded area is LESS than or EQUAL to this SOLID line

Blue line =    y = -x+4        so   y <= -x+4

Red line  =    y = 1/4 x              y > 1/4x     (dotted line says line is not included so the inequality is >   NOT ≥   )

Pls help :/


Find the expected value of the winnings from a game that has the following payout probability distribution.
I will give brainlies t

Answers

The expected value of the winnings from a game that has the following payout probability distribution is 2.3

What is expected value?

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.

To calculate the expected value ,

we have to multiply each of the given probability by the individual payout value and then add the following answers

So, expected value

=0(0.45) + 2(0.3) + 4(0.1) + 8(0.1) + 10(0.05)

=0+0.6+0.4+0.8+0.5

= $2.3

Hence, the expected value is 2.3

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ACTUAL ANSWER:

3.1

Step-by-step explanation:

0.45(0) + 0.3(4) + 0.1(6) + 0.1(8) + 0.05(10)

= 3.1

Also I checked on on Acellus and it was correct.

What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings

Composite Figures
Find the volume of the composite figure.
First, find the volume of the cylinder.
Use 3.14 for TT.
Cylinder
8 cm
Volume = [?] cm³
5 cm
4 cm
Rectangular prism
Volume = [] cm³
8 cm

Answers

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

Can someone explain the right answer? The question and answer is below.

Answers

Answer:

x -3y +4Pythagorean theorem

Step-by-step explanation:

You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.

__

horizontal distance

The x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.

If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)

The horizontal distance from (3, -4) to (x, y) is (x -3).

__

vertical distance

In like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.

For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.

The vertical distance from (3, -4) to (x, y) is (y +4).

__

total distance

As the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.

The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)

In particular, the equation created is ...

  (x -3)² +(y +4)² = 7²

_____

Additional comment

For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...

  a² +b² = c²

The sum of the squares of the sides is equal to the square of the hypotenuse.

Find the surface area of a right cone with a radius of 3 meters and a slant height of 5 meters.

Answers

The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².

What is surface area?

To calculate the surface area of the cone, we use the formula below.

Formula:

A = πrl.............. Equation 1

Where:

A = Surface area of the coneπ = Piel = Slight Height

From the question,

Given:

l = 5 metersr = 3 metersπ = 3.14

Substitute these values into equation 1

A = 3.14×5×3A = 47.1 m²

Hence, The surface area of the right cone is 47.1 m².

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16
20
Х
Solve for x.

Answers

Answer:

im assuming 24?

Step-by-step explanation:

bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong

helppppppppppppppppppp!!!!!!!!

Answers

The answer is C.

Step-by-step explanation:

I can't explain but I literally just did this question and I got it right

Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3

Answers

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

How to determine the probability?

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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Help me on this question

Answers

Answer:

F.2:30 a.m.

8 revolutions= 8×90=720mn= 12h

So the sign starts from 2.30p.m.

Then the sign after 8 revolutions is 2.30 a.m.

Please give Brainliest

x^2=6x+1

1) rewrite the equation by completing the square

2) what are the solutions to the equation?

Answers

Answer:

x=+-√10+3

Step-by-step explanation:

x^2=6x+1

x^2-6x=1

To create a trinomial square on the left side of the equation, find a value that is

equal to the square of half of b

a is the number next to x^2

b is the number next to x

c is the last number

b is -6

half of b is -3

square of half of b is 9

put 9 on both sides of the = sign

x^2-6x+9=1+9

x^2-6x+9=10

(x-3)^2=10

take the square root of both sides of the = sign

√(x-3)^2=√10

x-3=√10

x=+-√10+3

Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80

Answers

Answer:

30, 30, 120

Step-by-step explanation:

Answer:

•50, 30, 100

Step-by-step explanation:

One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.

Simplify (sinx + cosx) ^2/ sin2x

Answers

[tex]\csc 2x+1[/tex]

Step-by-step explanation:

[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]

We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex]

[tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex]

[tex]= \frac{1+\sin2x}{\sin2x}[/tex]

[tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex]

[tex]=\csc 2x+1[/tex]
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