Tia is going to create another sculpture that has the same dimensions, but it will not be hollow. She plans to use wood for the new sculpture. What dimensions of the triangular prism will Tia need to know in order to determine the amount of wood she will need for the sculpture? Explain.

Answers

Answer 1

Answer:

Answer is below.

Step-by-step explanation:

Tia has to know the dimensions needed to find the volume of the sculpture. She needs to know the area of the base as well as the height of the pyramid. The formula that she has to use is 1/3*B*h.

Answer 2

To determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base of the prism.

What is triangular prism?

"It is a three dimensional geometric structure made up of two triangular bases and three rectangular sides."

What is the volume of the triangular prism?

Volume = Area of the Base × Height of prism

For given example,

The amount of wood she need will be equal to the volume of the triangular prism.

Volume of the triangular prism = Area of the Base × Height of prism

The base of the triangular prism is a triangle.

To find the the area of the triangle, three sides of the triangle should be known or base and height of the triangle.

The height of the triangular prism is nothing but the length of the rectangular side of the triangular prism.

Therefore, to determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base.

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Related Questions

The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.

A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft

Answers

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at a speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?

Answers

The answer is 48 mph. You take the two numbers and add them. Then divide by two since there are two numbers. Then you should get the overall average.

what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form

Answers

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

Which of the following is the graph of y = sin(0.5x)?
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 24 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 1 cycle at 8 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Answers

Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Step-by-step explanation:

The function is y = sin(0.5*x)

We know that sin(0) = 0, so this graph must pass trough the point (0,0)

We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi

but in our case the function is valuated in 0.5*x

then the maximum is when:

0.5*x = pi/2

x = pi/(2*0.5) = pi

and the minimum is when

0.5*x = (3/2)*pi

x = 3*pi

Now, knowing that sin(2*pi) = 0

The other 0 of the sin is when we have 0.5*x = 2*pi

x = 2*pi/0.5 = 4*pi

this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."

Answer:

d

Step-by-step explanation:

Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.​

Answers

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

I really need help on this, please help out

Answers

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need

Answers

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

hi I need some help...
-6y + 17 = 3y -10

Answers

Answer:

y=3

Step-by-step explanation:

Solve by subtracting

[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]

Divide.

[tex]-9y=-27\\y=-27/-9\\y=3[/tex]

Answer:

3

Step-by-step explanation:

* Approximate the value of V5 to the nearest hundredth.

Answers

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?

Answers

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%

Answers

C would be the correct answer

Answer: B

Step-by-step explanation:

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?

Answers

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

Chloe purchased 4 apps online. She paid 6% in sales tax. Her total cost was $4.24. What was the price of each app, not including the sales tax?

Answers

The total price before tax is 4.24/1.06=$4

The price of each app was $1.

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

Evaluate the expression 3 x
{10 +1} +5.

Answers

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5.

PEMDAS

Parentheses first

3 x {11} +5.

Then multiply and divide

33+5

38

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5             Following PEMDAS, solve in the parentheses

3 x 11 + 5                   Multiply 3 x 11

33 + 5                       Add

38

please please help me ​

Answers

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answers

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Measure of angle r is 22. Find the measure of angle 0

Answers

Is there a picture to this question

A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters

Answers

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Consider this right triangle with the given measures.

A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.

What is the length of the hypotenuse?

1.  52 + 122 =c2

2.  25 + 144 =c2

3.  169=c2


c=

Answers

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?

A. 4/21
B. 3/4
C. 4/25
D. 25/28

Answers

Answer:

surburu

Step-by-step explanation:

Answer:

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I got this question correct. :)

A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

Amount surfed and snowboarded: 36Total amount snowboarded: 48

P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]

Apologies for lack of explanation, but I think this will do it.

What is the GFC of 15 and 57. Plz tell me I need help

Answers

Step-by-step explanation:

3

Raphael surveyed his coworkers to find out how many hours they spend on the Internet each week.
The results are shown below.

14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25

Drag numbers to record the frequency for each range in the table.
Numbers may be used once, more than once, or not at all.
01234567
Hours on the Internet
Hours Frequency
0–4
5–9
10–14
15–19
20–24
25–29















I WILLL MAKE BRAINLIEST AND GIVE THEM ALL MY POINTS AND GIVE THEM % STARS AND A LIKE IF YOU ANSWER THESE TWO QUESTIONS ASAP NOW!!!!!!!!!!!!!!




















The histogram shows the scores on a recent science test.
Using the histogram, select all of the true statements that describe the data.

Histogram named as

Answers

The frequency of each range in the table is as follows:-

Range       Frequency

[tex]0-4[/tex]                [tex]2[/tex]

[tex]5-9[/tex]                [tex]3[/tex]

[tex]10-14[/tex]             [tex]6[/tex]

[tex]15-19[/tex]             [tex]0[/tex]

[tex]20-24[/tex]             [tex]1[/tex]

[tex]25-29[/tex]             [tex]2[/tex]

Frequency

The frequency of a particular value is the number of times the value occurs in the data.

How to find the frequency of a particular value?

First, find the number of times the particular value occurs in the given data.

Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.

The results are:-

[tex]14,22,10,6,9,3,13,7,12,2,26,11,13,25[/tex]

Thus, the number of occurence of a particular range can be written as follows:-

Range        Hours in given data       Frequeny

[tex]0-4[/tex]                     [tex]3,2[/tex]                              [tex]2[/tex]

[tex]5-9[/tex]                    [tex]6,9,7[/tex]                            [tex]3[/tex]

[tex]10-14[/tex]           [tex]14,10,13,12,11,13[/tex]             [tex]6[/tex]

[tex]15-19[/tex]                     [tex]0[/tex]                               [tex]0[/tex]

[tex]20-24[/tex]                    [tex]22[/tex]                              [tex]1[/tex]

[tex]25-29[/tex]                  [tex]26,25[/tex]                           [tex]2[/tex]

Hence, the frequency of each range in the table is as follows:-

Range               Frequency

[tex]0-4[/tex]                         [tex]2[/tex]

[tex]5-9[/tex]                         [tex]3[/tex]

[tex]10-14[/tex]                      [tex]6[/tex]

[tex]15-19[/tex]                      [tex]0[/tex]

[tex]20-24[/tex]                      [tex]1[/tex]

[tex]25-29[/tex]                      [tex]2[/tex]

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Students measure objects in their desks and the data are shown in the line plot below. If the objects are to be connected end to end,what would be the total length?

Answers

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44

Answers

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.

Answers

Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Answers

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.

Answers

0 means u do not move right or left at all and the 4 means u move up 4 units.

Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

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