Find the volume and surface area of the figure below.

Find The Volume And Surface Area Of The Figure Below.

Answers

Answer 1

The volume of the prism is determined as  1,416 m³ and the surface area of the prism is 664.8 m².

Volume of the prism

The volume of the prism is determined from the product of base area and slant height of the prism.

Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²

Volume = AL

where;

L is the slant height

L² = (12/2)² + (20.3/2)²

L² = 6² + 10.15²

L² = 139.0225

L = 11.8 m

V = AL

V = 120 x 11.8 = 1,416 m³

Surface area of the prism

A = bh + pL

A = (12 x 20) + 11.8(12 + 12 + 12)

A = 664.8 m²

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Related Questions

Find the radius with a volume of 180 cubic feet. Round your answer to the nearest tenth.

I need help! Quick!

Answers

Answer:

3.5 i think

Step-by-step explanation:

r=(3V

4π)⅓=(3·180

4·π)⅓≈3.50263

I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST

Answers

Answer:

D. 68+(6x+4)=180

x = 18

Step-by-step explanation:

"Supplementary angles" are angles that add up to 180°

So we add the twi angles 68+(6x+4) and that equals to 180°.

68 + 6x + 4 = 180

add 68 and 4

72 + 6x = 180

subtract 72.

6x = 108

divide by 6.

x = 18

Can someone help me with this problem? Thank you!

Answers

Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.

if 2sin theta+1=0 and 90°270° calculate a) 4cos²theta. b) 81tan²theta​

Answers

Answer:

A) [tex]4\cos^2\theta=3[/tex]

B) [tex]81\tan^2\theta=27[/tex]

Step-by-step explanation:

[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]

[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]

[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]


Please help!
Find the distance between the points.
(-2.5,3),(5,3)

The distance is ____

Answers

Answer:

7.5 units

Step-by-step explanation:

since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.

distance = | - 2.5 - 5 | = | - 7.5 | = 7.5

or

distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5

whats is the answer to
5.8/3t +6=3.8t+4.32

Answers

Answer:

t=0.9

Step-by-step explanation:

Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?

Answers

the answer is,
Shannon now has 26.7 sports cards now

Help me on this math problem please!! DUE TONIGHT!! Write an equation!

Answers

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

3x+8=x+4
-x -x
2x+8=4
-4 -4
2x=4
x=2

1) The graph of a quadratic f(x) intersects the x-axis at -2 and 10. What is a possible
equation for f(x)?
fx) =

Answers

Answer:

The polynomial f(x) = x^2 - 8x - 20

Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription

Answers

The answer is B a subway pass

Can you please help me with 12 please?

Answers

The expression for the 12 more than half of the postcard will be written as:- P/2+12=P

What is an expression?

The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.

here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.

The expression will be written as:-

P/2+12=P

Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P

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Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).

Answers

By completing squares, we will see that the center of the given circle is at (-3, -2).

How to find the center of the circle?

The general circle equation centered on (a, b) of radius R is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

In this case, our equation is:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]

First, we need to complete squares, we will have:

[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]

Then, by looking at the left side, we can see that the center of the circle is (-3, -2).

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Answer:

d

Step-by-step explanation:

got it right on edge

Graph the inequality.
0 < y + 4x <6

Answers

After I graphed it gave me - y>−4x

- Appreciate if you rate.

Sam wants to surround his garden with fencing. He is using a drawing with a scale factor of 4 feet for every 1 inch.
2 in
4 in
Select the exact amount of fencing, in feet, Sam will need to surround the garden.
10 feet
© 16 feet
© 24 feet
48 feet

Answers

24! 2 plus 4 is 6 and 6 times 4 for the scale factor

Answer:

C. 24

Step-by-step explanation:

If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six

Answers

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

Does anybody know this?Find the measure of the following arcs.

Answers

Answer:

see explanation

Step-by-step explanation:

an arc of a circle is equal to the central angle subtended by the arc

central angle of arc ED = 50° ( vertically opposite angles )

then

arc ED = 50°

the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°

then

arc BC = 90°

the central angle subtended by arc AE = 180° - 50° = 130°

then arc AE = 130°

arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°

what is the range of this function?

Answers

Answer:

B.

Step-by-step explanation:

The range is all real numbers

It will indefinitely go up and indefinitely go down

Hello I need help with this math question

Answers

Answer:

c obtuse angle

Step-by-step explanation:

Answer: C, Obtuse Angle

Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.

An acute angle is an angle with LESS than 90 degrees, which is also incorrect.

An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.

A straight angle is just a straight line, which this angle is not.

Please help on this question

Answers

The congruent parts of the triangle are:

<A ≅ < Y

< B ≅ <Z

< C≅ <X

AB ≅ YZ

AC ≅ YX

BC ≅ ZX

]ABC ≅ YZX

What are the congruent parts?

The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.

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What is the area of this composite figure ?
21 yd
21 yd
10 yd

Answers

Answer:

area is 630

we can multiply 2 1 by 21= 63 by 10=630

Janelle has one dime and several nickels in her coin purse. The table below describes the relationship between the number of nickels, n, and the total value of the coins in her coin
purse in cents, c

If Janelle has 8 nickels in her coin purso, what is the total value of the coins?

52 cents

50 cents

48 cents

46 cents

Answers

Answer:

Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.

Step-by-step explanation:

Evaluate for f(-2)

F(x) = x2 - 4

Answers

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

[Function] Substitute in x:
f(-2) = (-2)² - 4Evaluate exponents:
f(-2) = 4 - 4Subtract:
f(-2) = 0

∴ the function when x = -2 is equal to 0.

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Topic: Algebra I

Solve the following equation by completing the square.
x(x-5)=14

Answers

Answer:

[tex]x_1=-2,\: x_2=7[/tex]

Step-by-step explanation:

[tex]x(x-5)=14\\\\x^2-5x=14\\\\x^2-5x+(\frac{-5}{2})^2 =14+(\frac{-5}{2})^2\\\\x^2-5x+\frac{25}{4}=14+\frac{25}{4}\\\\x^2-5x+\frac{25}{4}=\frac{81}{4}\\ \\(x-\frac{5}{2})^2=\frac{81}{4}\\ \\x-\frac{5}{2}=\pm\frac{9}{2}\\ \\x=\frac{5}{2}\pm\frac{9}{2}\\ \\x_1=-2,\: x_2=7[/tex]

Please help.... this is confusing me:0

Answers

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

The fifth-grade classes at Martinez
Elementary School are going to take
a short tethered ride in a hot-air
balloon. The balloon can hold three
students at a time. If there are one
hundred twenty-six students in the
fifth grade, how many rides will have
to be taken in order for every student
to have a turn?

Answers

If the hot air balloon can only hold 3 students and there is a total of 126, there will have to be 42 rides in order for every student to have a turn.

A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?

Answers

Answer:

yor mom

Step-by-step explanation:

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

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Help asap please :)))

Answers

Answer:

it will be figure 3

Step-by-step explanation:

it is the odd one of them, with inner concave

Which is the simplified form of m^-8p^0

Answers

Answer: Heyaa!! ~

Your Answer is... 1/m^8 which is the b or the second answer!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you!

-Matthew ^^

If wandas motherly take-home is $3,000 her fixed monthly expenses are $2,575 and get average monthly variable expenses are $855 what is her financial situation?

Answers

send a picture of the assignment thank u #1

help for this question fr​

Answers

Answer:

(x + 16)° = 141°

Step-by-step explanation:

Given figure is of octagon

Sum of interior angles of an octagon is 1080°

-> 5x° + 455° = 1080°

-> 5x° = 1080° - 455°

->5x° = 625°

-> x° = 625°/5

x° = 125°

x = 125

-> (x + 16)° = (125 + 16)°

-> (x + 16)° = 141°

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